Psyc 421 quiz 1 | Psychology homework help

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1. A panel interview is an interview in which

2. A case history is also referred to as

3. Video cameras and one-way mirrors in a room where assessment is taking place will typically prompt assessees to

4. Which of the following is TRUE of behavioral observation as a tool of assessment?

5. The ABAP Diplomate

6. Using CAPA, test users have the capability of

7. According to your textbook, when interviewing an eyewitness to a serious crime, a police psychologist might ask the interviewer to respond to a question

8. Your textbook lists several means by which motivational interviewing is conducted. Which is not one of those ways?

9. Testtakers differ in their approach to an assessment situation with regard to the extent that they

10. The Adjustable Light Beam Apparatus (ALBA)

11. What name is BEST associated with therapeutic assessment?

12. In the context of psychological testing and assessment, social facilitation refers to the presence of a third party and its effect

13. A psychologist licensed in Oregon may not accept a referral to evaluate a dying patient under the provisions of Oregon’s Death with Dignity Act

14. Which of the following is the term used for a variant of a language that has its own rules of structure, meaning, and pronunciation?

15. An approach to personality assessment that does not employ self-report methods is referred to as

16. During World War I, Robert Woodsworth and his committee developed a measure of

17. “If an expert claimed something that most other experts in the field would agree with, the testimony would be admitted into evidence.” This statement BEST applies to the admission of expert testimony into evidence as provided by which litigation?

18. Ability tests developed using samples of White testtakers cannot be used to track African-American students in the school system. This was the essence of the ruling in which of the following court cases?

19. The beginning of the group intelligence testing movement is best associated with

20. Which of the following terms BEST characterizes the relationship between the enterprise of psychological testing and the public during the 20th century?

21. According to Neil Krishan Aggarwal, culture influences

22. Sir Francis Galton measured each of the following EXCEPT

23. Who coined the term “mental test”?

24. Typically, when a Title VII charge of discrimination in the workplace is leveled at an employer, a claim is made that hiring, promotion, or some related employment decisions are systematically being made

25. Which of the following would be LEAST likely to be used as an item on a projective test of personality?

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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?

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

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

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

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

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

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

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

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

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