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?    

 

 

 

 

 

 

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?    

 

 

 

 

 

 

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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