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Question : 11.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 : 1258196

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11.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

Future value can be found if the interest rate (i), the number of periods (n), and the present value (p) are known.    

 

 

 

12.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

The number of periods in a future value calculation may only be expressed in years.    

 

 

 

13.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

The future value of $100 compounded semiannually for 3 years at 12% equals $140.49.    

Future Value = Present Value * Interest FactorFuture Value = $100 * 1.4185 = $141.85

 

 

 

14.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

At an annual interest rate of 8% compounded annually, $5,300 will accumulate to a total of $7,210.65 in 5 years.    

FV Factor = Future Value/Present ValueFV Factor = $7,210.65/$5,300 = 1.36051.3605 is the future value of $1 factor, 8%, 4 periods

 

 

 

15.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

An annuity is a series of equal payments occurring at equal intervals.    

 

 

 

16.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

The present value of an annuity table can be used to determine the value today of a series of payments to be received in the future.    

 

 

 

17.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 series of equal payments made or received at the end of each period is an ordinary annuity.    

 

 

 

18.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

The present value of $5,000 per year for three years at 12% compounded annually is $12,009.    

2.4018 is the PV factor on the Present Value of an Annuity table; n = 3; i = 12%Present Value of an Annuity = Annuity * PV FactorPresent Value of an Annuity = $5,000 * 2.4018 = $12,009

 

 

 

19.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

With deposits of $5,000 at the end of each year, you will have accumulated $38,578 at the end of the sixth year if the annual rate of interest is 10%.    

7.7156 is the FV factor on the Future Value of an Annuity table; n = 6; i = 10%Future Value of an Annuity = Annuity * FV FactorFuture Value of an Annuity = $5,000 * 7.7156 = $38,5787.7156 is the interest factor on the Future Value of an Annuity table; n = 6; i = 10%

 

 

 

20.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

The future value of an ordinary annuity is the accumulated value of each annuity payment excluding interest as of the date of the final payment.    

 

 

 

 

 

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July 1, 2023
    

IBM SPSS Step-by-Step Guide: Correlations.

U5D2- Interpreting Correlations

A meta-analysis (Anderson & Bushman, 2001) reported that the average correlation between time spent playing video games ( X ) and engaging in aggressive behavior ( Y ) in a set of 21 well-controlled experimental studies was .19. 

*This correlation was judged to be statistically significant. 

*In your own words, what can you say about the nature of the relationship?

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

OBJECTIVES

To successfully complete this learning unit, you will be expected to:

1. Analyze the interpretation of correlation coefficients.

2. Identify the assumptions of correlation.

3. Identify null hypothesis testing of correlation.

4. Interpret a correlation reported in the scientific literature.

5. Analyze the assumptions of correlation.

Unit 5 Study 1

Use your Warner text, Applied Statistics: From Bivariate Through Multivariate Techniques , to complete the following:

• Read Chapter 7, "Bivariate Pearson Correlation," pages 261–314. This chapter addresses the following topics:

◦ Assumptions of Pearson's r.

◦ Preliminary data screening for Pearson's r.

◦ Statistical significance tests for Pearson's r.

◦ Factors influencing the magnitude and sign of Pearson's r.

◦ Effect-size indexes.

◦ Interpretation of Pearson's r values.

• Read Chapter 8, "Alternative Correlation Coefficients," pages 315–343. This chapter addresses the following topics:

◦ Correlations for rank or ordinal scores.

◦ Correlations for true dichotomies.

◦ Correlations for artificial dichotomies.

◦ Chi-square test of association.

PSY Learners – Additional Required Readings

In addition to the other required study activities for this unit, PSY learners are required to read the following articles. Note: For the first article, focus on interpreting Table 1. Jia, Y., Konold, T. R., & Cornell, D. (2015). Authoritative school climate and high school dropout rates. School Psychology Quarterly. doi:10.1037/spq0000139

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

SOE Learners – Suggested Readings

Some programs have opted to provide program-specific content designed to help you better understand how the subject matter in this study is incorporated into your particular field of study. The following readings are suggested for SOE learners.

Walk, M., & Rupp, A. (2010). Pearson product-moment correlation coefficient. In N. J. Salkind (Ed.), Encyclopedia of research design (pp. 1023–1026). Thousand Oaks, CA: Sage. doi:10.4135/9781412961288.n309

default image
July 1, 2023
    

IBM SPSS Step-by-Step Guide: Correlations.

U5D2- Interpreting Correlations

A meta-analysis (Anderson & Bushman, 2001) reported that the average correlation between time spent playing video games ( X ) and engaging in aggressive behavior ( Y ) in a set of 21 well-controlled experimental studies was .19. 

*This correlation was judged to be statistically significant. 

*In your own words, what can you say about the nature of the relationship?

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

OBJECTIVES

To successfully complete this learning unit, you will be expected to:

1. Analyze the interpretation of correlation coefficients.

2. Identify the assumptions of correlation.

3. Identify null hypothesis testing of correlation.

4. Interpret a correlation reported in the scientific literature.

5. Analyze the assumptions of correlation.

Unit 5 Study 1

Use your Warner text, Applied Statistics: From Bivariate Through Multivariate Techniques , to complete the following:

• Read Chapter 7, "Bivariate Pearson Correlation," pages 261–314. This chapter addresses the following topics:

◦ Assumptions of Pearson's r.

◦ Preliminary data screening for Pearson's r.

◦ Statistical significance tests for Pearson's r.

◦ Factors influencing the magnitude and sign of Pearson's r.

◦ Effect-size indexes.

◦ Interpretation of Pearson's r values.

• Read Chapter 8, "Alternative Correlation Coefficients," pages 315–343. This chapter addresses the following topics:

◦ Correlations for rank or ordinal scores.

◦ Correlations for true dichotomies.

◦ Correlations for artificial dichotomies.

◦ Chi-square test of association.

PSY Learners – Additional Required Readings

In addition to the other required study activities for this unit, PSY learners are required to read the following articles. Note: For the first article, focus on interpreting Table 1. Jia, Y., Konold, T. R., & Cornell, D. (2015). Authoritative school climate and high school dropout rates. School Psychology Quarterly. doi:10.1037/spq0000139

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

SOE Learners – Suggested Readings

Some programs have opted to provide program-specific content designed to help you better understand how the subject matter in this study is incorporated into your particular field of study. The following readings are suggested for SOE learners.

Walk, M., & Rupp, A. (2010). Pearson product-moment correlation coefficient. In N. J. Salkind (Ed.), Encyclopedia of research design (pp. 1023–1026). Thousand Oaks, CA: Sage. doi:10.4135/9781412961288.n309

default image
July 1, 2023
    

IBM SPSS Step-by-Step Guide: Correlations.

U5D2- Interpreting Correlations

A meta-analysis (Anderson & Bushman, 2001) reported that the average correlation between time spent playing video games ( X ) and engaging in aggressive behavior ( Y ) in a set of 21 well-controlled experimental studies was .19. 

*This correlation was judged to be statistically significant. 

*In your own words, what can you say about the nature of the relationship?

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

OBJECTIVES

To successfully complete this learning unit, you will be expected to:

1. Analyze the interpretation of correlation coefficients.

2. Identify the assumptions of correlation.

3. Identify null hypothesis testing of correlation.

4. Interpret a correlation reported in the scientific literature.

5. Analyze the assumptions of correlation.

Unit 5 Study 1

Use your Warner text, Applied Statistics: From Bivariate Through Multivariate Techniques , to complete the following:

• Read Chapter 7, "Bivariate Pearson Correlation," pages 261–314. This chapter addresses the following topics:

◦ Assumptions of Pearson's r.

◦ Preliminary data screening for Pearson's r.

◦ Statistical significance tests for Pearson's r.

◦ Factors influencing the magnitude and sign of Pearson's r.

◦ Effect-size indexes.

◦ Interpretation of Pearson's r values.

• Read Chapter 8, "Alternative Correlation Coefficients," pages 315–343. This chapter addresses the following topics:

◦ Correlations for rank or ordinal scores.

◦ Correlations for true dichotomies.

◦ Correlations for artificial dichotomies.

◦ Chi-square test of association.

PSY Learners – Additional Required Readings

In addition to the other required study activities for this unit, PSY learners are required to read the following articles. Note: For the first article, focus on interpreting Table 1. Jia, Y., Konold, T. R., & Cornell, D. (2015). Authoritative school climate and high school dropout rates. School Psychology Quarterly. doi:10.1037/spq0000139

Anderson, C. A., & Bushman, B. J. (2001). Effects of violent video games on aggressive behavior, aggressive cognition, aggressive affect, physiological arousal, and prosocial behavior: A meta-analytic review of the scientific literature. Psychological Science, 12(5), 353–359.

SOE Learners – Suggested Readings

Some programs have opted to provide program-specific content designed to help you better understand how the subject matter in this study is incorporated into your particular field of study. The following readings are suggested for SOE learners.

Walk, M., & Rupp, A. (2010). Pearson product-moment correlation coefficient. In N. J. Salkind (Ed.), Encyclopedia of research design (pp. 1023–1026). Thousand Oaks, CA: Sage. doi:10.4135/9781412961288.n309

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Philosophy, 5 pages
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August 5, 2021
    

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Psychology, 4 pages
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August 5, 2021
    

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