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Control mechanisms in health service organizations | DDHA 8450 – Project and Resource Management in Integrated Systems | Walden University

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Control mechanisms facilitate pathways that health care administrators might consider when deciding how to direct, adjust, and mobilize resources as they apply to day-to-day and business operations. Additionally, control mechanisms assist health care administrators in determining areas where opportunities for improvement might exist in order to facilitate enhanced business and health care delivery practices. As a current or future health care administrator, understanding how to interpret and modify control mechanisms is an essential skill that will contribute greatly to your decision making for enhancing process improvement.

For this Discussion, reflect on the Learning Resources for this week, and consider the findings in the Singer article. Then, select a control mechanism that is most appropriate for your HSO or an HSO with which you are familiar. Consider how this control mechanism might apply to promoting a culture of safety as a process improvement initiative in the HSO you selected.

By Day 3

Post a description of the control mechanism you selected, and explain its relevance to your HSO. Then, explain how you as a current or future health care administrator might apply this control mechanism to promoting a culture of safety in your HSO; explain why you would apply the mechanism in this way.

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July 1, 2023
    

 

56.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Protocol Company has acquired equipment from a dealer that requires equal payments of $12,000 at the end of the next five years. This transaction includes interest at 9%, compounded annually. What is the value of the machine today?    

 

57.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is creating a fund today by depositing $65,763. The fund will grow to $90,000 after 8 years. What annual interest rate is the company earning on the fund?    

 

58.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is setting aside $21,354 today, and wishes to have $30,000 at the end of three years for a down payment on a piece of property. What interest rate must the company earn?    

 

59.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $50,000 today to invest in a fund that will earn 7%. How much will the fund contain at the end of 8 years?    

 

60.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $46,000 today to invest in a fund that will earn 4% compounded annually. How much will the fund contain at the end of 6 years?    

 

61.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Trey has $105,000 now. He has a loan of $175,000 that he must pay at the end of 5 years. He can invest his $105,000 at 10% interest compounded semiannually. Will Trey have enough to pay his loan at the end of the 5 years?    

 

62.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Garcia Brass Fixtures is planning on replacing one of its machines in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Garcia have accumulated at the end of five years to replace the machine?    

 

63.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 6 annual year-end payments of $27,000 each. How much is the company able to borrow if the interest rate is 9%?    

 

64.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 8 semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?    

 

65.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

When you reach retirement age, you will have one fund of $100,000 from which you are going to make annual withdrawals of $14,702. The fund will earn 6% per year. For how many years will you be able to draw an even amount of $14,702?    

 

 

 

 

 

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July 1, 2023
    

 

56.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Protocol Company has acquired equipment from a dealer that requires equal payments of $12,000 at the end of the next five years. This transaction includes interest at 9%, compounded annually. What is the value of the machine today?    

 

57.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is creating a fund today by depositing $65,763. The fund will grow to $90,000 after 8 years. What annual interest rate is the company earning on the fund?    

 

58.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is setting aside $21,354 today, and wishes to have $30,000 at the end of three years for a down payment on a piece of property. What interest rate must the company earn?    

 

59.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $50,000 today to invest in a fund that will earn 7%. How much will the fund contain at the end of 8 years?    

 

60.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $46,000 today to invest in a fund that will earn 4% compounded annually. How much will the fund contain at the end of 6 years?    

 

61.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Trey has $105,000 now. He has a loan of $175,000 that he must pay at the end of 5 years. He can invest his $105,000 at 10% interest compounded semiannually. Will Trey have enough to pay his loan at the end of the 5 years?    

 

62.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Garcia Brass Fixtures is planning on replacing one of its machines in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Garcia have accumulated at the end of five years to replace the machine?    

 

63.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 6 annual year-end payments of $27,000 each. How much is the company able to borrow if the interest rate is 9%?    

 

64.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 8 semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?    

 

65.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

When you reach retirement age, you will have one fund of $100,000 from which you are going to make annual withdrawals of $14,702. The fund will earn 6% per year. For how many years will you be able to draw an even amount of $14,702?    

 

 

 

 

 

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July 1, 2023
    

 

56.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Protocol Company has acquired equipment from a dealer that requires equal payments of $12,000 at the end of the next five years. This transaction includes interest at 9%, compounded annually. What is the value of the machine today?    

 

57.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is creating a fund today by depositing $65,763. The fund will grow to $90,000 after 8 years. What annual interest rate is the company earning on the fund?    

 

58.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company is setting aside $21,354 today, and wishes to have $30,000 at the end of three years for a down payment on a piece of property. What interest rate must the company earn?    

 

59.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $50,000 today to invest in a fund that will earn 7%. How much will the fund contain at the end of 8 years?    

 

60.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company has $46,000 today to invest in a fund that will earn 4% compounded annually. How much will the fund contain at the end of 6 years?    

 

61.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Trey has $105,000 now. He has a loan of $175,000 that he must pay at the end of 5 years. He can invest his $105,000 at 10% interest compounded semiannually. Will Trey have enough to pay his loan at the end of the 5 years?    

 

62.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

Garcia Brass Fixtures is planning on replacing one of its machines in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Garcia have accumulated at the end of five years to replace the machine?    

 

63.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 6 annual year-end payments of $27,000 each. How much is the company able to borrow if the interest rate is 9%?    

 

64.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

A company borrows money from the bank by promising to make 8 semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?    

 

65.Present Value of 1 

Periods3%4%5%6%7%8%9%10%12%

30.91510.88900.86380.83960.81630.79380.77220.75130.7118

40.88850.85480.82270.79210.76290.73500.70840.68300.6355

50.86260.82190.78350.74730.71300.68060.64990.62090.5674

60.83750.79030.74620.70500.66630.63020.59630.56450.5066

70.81310.75990.71070.66510.62270.58350.54700.51320.4523

80.78940.73070.67680.62740.58200.54030.50190.46650.4039

90.76640.70260.64460.59190.54390.50020.46040.42410.3606

100.74410.67560.61390.55840.50830.46320.42240.38550.3220

Future Value of 1 

Periods3%4%5%6%7%8%9%10%12%

31.09271.12491.15761.19101.22501.25971.29501.33101.4049

41.12551.16991.21551.26251.31081.36051.41161.46411.5735

51.15931.21671.27631.33821.40261.46931.53861.61051.7623

61.19411.26531.34011.41851.50071.58691.67711.77161.9738

71.22991.31591.40711.50361.60581.71381.82801.94872.2107

81.26681.36861.47751.59381.71821.85091.99262.14362.4760

91.30481.42331.55131.68951.83851.99902.17192.35792.7731

101.34391.48021.62891.79081.96722.15892.36742.59373.1058

Present Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

32.82862.77512.72322.67302.62432.57712.53132.48692.4018

43.71713.62993.54603.46513.38723.31213.23973.16993.0373

54.57974.45184.32954.21244.10023.99273.88973.79083.6048

65.41725.24215.07574.91734.76654.62294.48594.35534.1114

76.23036.00215.78645.58245.38935.20645.03304.86844.5638

87.01976.73276.46326.20985.97135.74665.53485.33494.9676

97.78617.43537.10786.80176.51526.24695.99525.79505.3282

108.53028.11097.72177.36017.02366.71016.41776.14465.6502

Future Value of an Annuity of 1 

Periods3%4%5%6%7%8%9%10%12%

33.09093.12163.15253.18363.21493.24643.27813.31003.3744

44.18364.24654.31014.37464.43994.50614.57314.64104.7793

55.30915.41635.52565.63715.75075.86665.98476.10516.3528

66.46846.63306.80196.97537.15337.33597.52337.71568.1152

77.66257.89838.14208.39388.65408.92289.20049.487210.089

88.89239.21429.54919.897510.26010.63711.02911.43612.300

910.15910.58311.02711.49111.97812.48813.02113.58014.776

1011.46412.00612.57813.18113.81614.48715.19315.93717.549

When you reach retirement age, you will have one fund of $100,000 from which you are going to make annual withdrawals of $14,702. The fund will earn 6% per year. For how many years will you be able to draw an even amount of $14,702?    

 

 

 

 

 

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