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The present value of 1 formula is often useful when a borrowed asset must be repaid in full at a later date and the borrower wants to know the worth of the asset at the future date.

A) True
B) False

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Present Value of 1  Periods 3%4%5%6%7%8%9%10%12%30.91510.88900.86380.83960.81630.79380.77220.75130.711840.88850.85480.82270.79210.76290.73500.70840.68300.635550.86260.82190.78350.74730.71300.68060.64990.62090.567460.83750.79030.74620.70500.66630.63020.59630.56450.506670.81310.75990.71070.66510.62270.58350.54700.51320.452380.78940.73070.67680.62740.58200.54030.50190.46650.403990.76640.70260.64460.59190.54390.50020.46040.42410.3606100.74410.67560.61390.55840.50830.46320.42240.38550.3220\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 0.9151 & 0.8890 & 0.8638 & 0.8396 & 0.8163 & 0.7938 & 0.7722 & 0.7513 & 0.7118 \\\hline 4 & 0.8885 & 0.8548 & 0.8227 & 0.7921 & 0.7629 & 0.7350 & 0.7084 & 0.6830 & 0.6355 \\\hline 5 & 0.8626 & 0.8219 & 0.7835 & 0.7473 & 0.7130 & 0.6806 & 0.6499 & 0.6209 & 0.5674 \\\hline 6 & 0.8375 & 0.7903 & 0.7462 & 0.7050 & 0.6663 & 0.6302 & 0.5963 & 0.5645 & 0.5066 \\\hline 7 & 0.8131 & 0.7599 & 0.7107 & 0.6651 & 0.6227 & 0.5835 & 0.5470 & 0.5132 & 0.4523 \\\hline 8 & 0.7894 & 0.7307 & 0.6768 & 0.6274 & 0.5820 & 0.5403 & 0.5019 & 0.4665 & 0.4039 \\\hline 9 & 0.7664 & 0.7026 & 0.6446 & 0.5919 & 0.5439 & 0.5002 & 0.4604 & 0.4241 & 0.3606 \\\hline 10 & 0.7441 & 0.6756 & 0.6139 & 0.5584 & 0.5083 & 0.4632 & 0.4224 & 0.3855 & 0.3220 \\\hline\end{array} Future Value of 1  Periods 3%4%5%6%7%8%9%10%12%31.09271.12491.15761.19101.22501.25971.29501.33101.404941.12551.16991.21551.26251.31081.36051.41161.46411.573551.15931.21671.27631.33821.40261.46931.53861.61051.762361.19411.26531.34011.41851.50071.58691.67711.77161.973871.22991.31591.40711.50361.60581.71381.82801.94872.210781.26681.36861.47751.59381.71821.85091.99262.14362.476091.30481.42331.55131.68951.83851.99902.17192.35792.7731101.34391.48021.62891.79081.96722.15892.36742.59373.1058\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 1.0927 & 1.1249 & 1.1576 & 1.1910 & 1.2250 & 1.2597 & 1.2950 & 1.3310 & 1.4049 \\\hline 4 & 1.1255 & 1.1699 & 1.2155 & 1.2625 & 1.3108 & 1.3605 & 1.4116 & 1.4641 & 1.5735 \\\hline 5 & 1.1593 & 1.2167 & 1.2763 & 1.3382 & 1.4026 & 1.4693 & 1.5386 & 1.6105 & 1.7623 \\\hline 6 & 1.1941 & 1.2653 & 1.3401 & 1.4185 & 1.5007 & 1.5869 & 1.6771 & 1.7716 & 1.9738 \\\hline 7 & 1.2299 & 1.3159 & 1.4071 & 1.5036 & 1.6058 & 1.7138 & 1.8280 & 1.9487 & 2.2107 \\\hline 8 & 1.2668 & 1.3686 & 1.4775 & 1.5938 & 1.7182 & 1.8509 & 1.9926 & 2.1436 & 2.4760 \\\hline 9 & 1.3048 & 1.4233 & 1.5513 & 1.6895 & 1.8385 & 1.9990 & 2.1719 & 2.3579 & 2.7731 \\\hline 10 & 1.3439 & 1.4802 & 1.6289 & 1.7908 & 1.9672 & 2.1589 & 2.3674 & 2.5937 & 3.1058 \\\hline\end{array} Present Value of an Annuity of 1  Periods 3%4%5%6%7%8%9%10%12%32.82862.77512.72322.67302.62432.57712.53132.48692.401843.71713.62993.54603.46513.38723.31213.23973.16993.037354.57974.45184.32954.21244.10023.99273.88973.79083.604865.41725.24215.07574.91734.76654.62294.48594.35534.111476.23036.00215.78645.58245.38935.20645.03304.86844.563887.01976.73276.46326.20985.97135.74665.53485.33494.967697.78617.43537.10786.80176.51526.24695.99525.79505.3282108.53028.11097.72177.36017.02366.71016.41776.14465.6502\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 2.8286 & 2.7751 & 2.7232 & 2.6730 & 2.6243 & 2.5771 & 2.5313 & 2.4869 & 2.4018 \\\hline 4 & 3.7171 & 3.6299 & 3.5460 & 3.4651 & 3.3872 & 3.3121 & 3.2397 & 3.1699 & 3.0373 \\\hline 5 & 4.5797 & 4.4518 & 4.3295 & 4.2124 & 4.1002 & 3.9927 & 3.8897 & 3.7908 & 3.6048 \\\hline 6 & 5.4172 & 5.2421 & 5.0757 & 4.9173 & 4.7665 & 4.6229 & 4.4859 & 4.3553 & 4.1114 \\\hline 7 & 6.2303 & 6.0021 & 5.7864 & 5.5824 & 5.3893 & 5.2064 & 5.0330 & 4.8684 & 4.5638 \\\hline 8 & 7.0197 & 6.7327 & 6.4632 & 6.2098 & 5.9713 & 5.7466 & 5.5348 & 5.3349 & 4.9676 \\\hline 9 & 7.7861 & 7.4353 & 7.1078 & 6.8017 & 6.5152 & 6.2469 & 5.9952 & 5.7950 & 5.3282 \\\hline 10 & 8.5302 & 8.1109 & 7.7217 & 7.3601 & 7.0236 & 6.7101 & 6.4177 & 6.1446 & 5.6502 \\\hline\end{array} Future Value of an Annuity of 1  Periods 3%4%5%6%7%8%9%10%12%33.09093.12163.15253.18363.21493.24643.27813.31003.374444.18364.24654.31014.37464.43994.50614.57314.64104.779355.30915.41635.52565.63715.75075.86665.98476.10516.352866.46846.63306.80196.97537.15337.33597.52337.71568.115277.66257.89838.14208.39388.65408.92289.20049.487210.089088.89239.21429.54919.897510.259810.636611.028511.435912.2997910.159110.582811.026611.491311.978012.487613.021013.579514.77571011.463912.006112.577913.180813.816414.486615.192915.937417.5487\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 3.0909 & 3.1216 & 3.1525 & 3.1836 & 3.2149 & 3.2464 & 3.2781 & 3.3100 & 3.3744 \\\hline 4 & 4.1836 & 4.2465 & 4.3101 & 4.3746 & 4.4399 & 4.5061 & 4.5731 & 4.6410 & 4.7793 \\\hline 5 & 5.3091 & 5.4163 & 5.5256 & 5.6371 & 5.7507 & 5.8666 & 5.9847 & 6.1051 & 6.3528 \\\hline 6 & 6.4684 & 6.6330 & 6.8019 & 6.9753 & 7.1533 & 7.3359 & 7.5233 & 7.7156 & 8.1152 \\\hline 7 & 7.6625 & 7.8983 & 8.1420 & 8.3938 & 8.6540 & 8.9228 & 9.2004 & 9.4872 & 10.0890 \\\hline 8 & 8.8923 & 9.2142 & 9.5491 & 9.8975 & 10.2598 & 10.6366 & 11.0285 & 11.4359 & 12.2997 \\\hline 9 & 10.1591 & 10.5828 & 11.0266 & 11.4913 & 11.9780 & 12.4876 & 13.0210 & 13.5795 & 14.7757 \\\hline 10 & 11.4639 & 12.0061 & 12.5779 & 13.1808 & 13.8164 & 14.4866 & 15.1929 & 15.9374 & 17.5487 \\\hline\end{array} The present value factor for determining the present value of $6,300 to be received three years from today at 10% interest compounded semiannually is 0.7462.(PV of $1,FV of $1,PVA of $1,and FVA of $1)(Use appropriate factor(s)from the tables provided.)

A) True
B) False

Correct Answer

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Explain the concept of the future value of an annuity.

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The future value of an annuity...

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Which interest rate column would you use from a present value or future value table for 8% interest compounded quarterly?


A) 12%
B) 6%
C) 3%
D) 2%
E) 1%

F) C) and D)
G) A) and B)

Correct Answer

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An interest rate is also called a discount rate.

A) True
B) False

Correct Answer

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

A) True
B) False

Correct Answer

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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.

A) True
B) False

Correct Answer

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Present and future value computations enable companies to measure or estimate the interest component of holding assets or liabilities over time.

A) True
B) False

Correct Answer

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Which column (i) and row (n) would you use from a present value or future value table for 8% interest compounded quarterly for 6 years?


A) (i) = 2%,(n) = 8
B) (i) = 8%,(n) = 6
C) (i) = 2%,(n) = 24
D) (i) = 4%,(n) = 12
E) (i) = 4%,(n) = 24

F) A) and E)
G) C) and D)

Correct Answer

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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.

A) True
B) False

Correct Answer

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Present Value of 1  Periods 3%4%5%6%7%8%9%10%12%30.91510.88900.86380.83960.81630.79380.77220.75130.711840.88850.85480.82270.79210.76290.73500.70840.68300.635550.86260.82190.78350.74730.71300.68060.64990.62090.567460.83750.79030.74620.70500.66630.63020.59630.56450.506670.81310.75990.71070.66510.62270.58350.54700.51320.452380.78940.73070.67680.62740.58200.54030.50190.46650.403990.76640.70260.64460.59190.54390.50020.46040.42410.3606100.74410.67560.61390.55840.50830.46320.42240.38550.3220\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 0.9151 & 0.8890 & 0.8638 & 0.8396 & 0.8163 & 0.7938 & 0.7722 & 0.7513 & 0.7118 \\\hline 4 & 0.8885 & 0.8548 & 0.8227 & 0.7921 & 0.7629 & 0.7350 & 0.7084 & 0.6830 & 0.6355 \\\hline 5 & 0.8626 & 0.8219 & 0.7835 & 0.7473 & 0.7130 & 0.6806 & 0.6499 & 0.6209 & 0.5674 \\\hline 6 & 0.8375 & 0.7903 & 0.7462 & 0.7050 & 0.6663 & 0.6302 & 0.5963 & 0.5645 & 0.5066 \\\hline 7 & 0.8131 & 0.7599 & 0.7107 & 0.6651 & 0.6227 & 0.5835 & 0.5470 & 0.5132 & 0.4523 \\\hline 8 & 0.7894 & 0.7307 & 0.6768 & 0.6274 & 0.5820 & 0.5403 & 0.5019 & 0.4665 & 0.4039 \\\hline 9 & 0.7664 & 0.7026 & 0.6446 & 0.5919 & 0.5439 & 0.5002 & 0.4604 & 0.4241 & 0.3606 \\\hline 10 & 0.7441 & 0.6756 & 0.6139 & 0.5584 & 0.5083 & 0.4632 & 0.4224 & 0.3855 & 0.3220 \\\hline\end{array} Future Value of 1  Periods 3%4%5%6%7%8%9%10%12%31.09271.12491.15761.19101.22501.25971.29501.33101.404941.12551.16991.21551.26251.31081.36051.41161.46411.573551.15931.21671.27631.33821.40261.46931.53861.61051.762361.19411.26531.34011.41851.50071.58691.67711.77161.973871.22991.31591.40711.50361.60581.71381.82801.94872.210781.26681.36861.47751.59381.71821.85091.99262.14362.476091.30481.42331.55131.68951.83851.99902.17192.35792.7731101.34391.48021.62891.79081.96722.15892.36742.59373.1058\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 1.0927 & 1.1249 & 1.1576 & 1.1910 & 1.2250 & 1.2597 & 1.2950 & 1.3310 & 1.4049 \\\hline 4 & 1.1255 & 1.1699 & 1.2155 & 1.2625 & 1.3108 & 1.3605 & 1.4116 & 1.4641 & 1.5735 \\\hline 5 & 1.1593 & 1.2167 & 1.2763 & 1.3382 & 1.4026 & 1.4693 & 1.5386 & 1.6105 & 1.7623 \\\hline 6 & 1.1941 & 1.2653 & 1.3401 & 1.4185 & 1.5007 & 1.5869 & 1.6771 & 1.7716 & 1.9738 \\\hline 7 & 1.2299 & 1.3159 & 1.4071 & 1.5036 & 1.6058 & 1.7138 & 1.8280 & 1.9487 & 2.2107 \\\hline 8 & 1.2668 & 1.3686 & 1.4775 & 1.5938 & 1.7182 & 1.8509 & 1.9926 & 2.1436 & 2.4760 \\\hline 9 & 1.3048 & 1.4233 & 1.5513 & 1.6895 & 1.8385 & 1.9990 & 2.1719 & 2.3579 & 2.7731 \\\hline 10 & 1.3439 & 1.4802 & 1.6289 & 1.7908 & 1.9672 & 2.1589 & 2.3674 & 2.5937 & 3.1058 \\\hline\end{array} Present Value of an Annuity of 1  Periods 3%4%5%6%7%8%9%10%12%32.82862.77512.72322.67302.62432.57712.53132.48692.401843.71713.62993.54603.46513.38723.31213.23973.16993.037354.57974.45184.32954.21244.10023.99273.88973.79083.604865.41725.24215.07574.91734.76654.62294.48594.35534.111476.23036.00215.78645.58245.38935.20645.03304.86844.563887.01976.73276.46326.20985.97135.74665.53485.33494.967697.78617.43537.10786.80176.51526.24695.99525.79505.3282108.53028.11097.72177.36017.02366.71016.41776.14465.6502\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 2.8286 & 2.7751 & 2.7232 & 2.6730 & 2.6243 & 2.5771 & 2.5313 & 2.4869 & 2.4018 \\\hline 4 & 3.7171 & 3.6299 & 3.5460 & 3.4651 & 3.3872 & 3.3121 & 3.2397 & 3.1699 & 3.0373 \\\hline 5 & 4.5797 & 4.4518 & 4.3295 & 4.2124 & 4.1002 & 3.9927 & 3.8897 & 3.7908 & 3.6048 \\\hline 6 & 5.4172 & 5.2421 & 5.0757 & 4.9173 & 4.7665 & 4.6229 & 4.4859 & 4.3553 & 4.1114 \\\hline 7 & 6.2303 & 6.0021 & 5.7864 & 5.5824 & 5.3893 & 5.2064 & 5.0330 & 4.8684 & 4.5638 \\\hline 8 & 7.0197 & 6.7327 & 6.4632 & 6.2098 & 5.9713 & 5.7466 & 5.5348 & 5.3349 & 4.9676 \\\hline 9 & 7.7861 & 7.4353 & 7.1078 & 6.8017 & 6.5152 & 6.2469 & 5.9952 & 5.7950 & 5.3282 \\\hline 10 & 8.5302 & 8.1109 & 7.7217 & 7.3601 & 7.0236 & 6.7101 & 6.4177 & 6.1446 & 5.6502 \\\hline\end{array} Future Value of an Annuity of 1  Periods 3%4%5%6%7%8%9%10%12%33.09093.12163.15253.18363.21493.24643.27813.31003.374444.18364.24654.31014.37464.43994.50614.57314.64104.779355.30915.41635.52565.63715.75075.86665.98476.10516.352866.46846.63306.80196.97537.15337.33597.52337.71568.115277.66257.89838.14208.39388.65408.92289.20049.487210.089088.89239.21429.54919.897510.259810.636611.028511.435912.2997910.159110.582811.026611.491311.978012.487613.021013.579514.77571011.463912.006112.577913.180813.816414.486615.192915.937417.5487\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 3.0909 & 3.1216 & 3.1525 & 3.1836 & 3.2149 & 3.2464 & 3.2781 & 3.3100 & 3.3744 \\\hline 4 & 4.1836 & 4.2465 & 4.3101 & 4.3746 & 4.4399 & 4.5061 & 4.5731 & 4.6410 & 4.7793 \\\hline 5 & 5.3091 & 5.4163 & 5.5256 & 5.6371 & 5.7507 & 5.8666 & 5.9847 & 6.1051 & 6.3528 \\\hline 6 & 6.4684 & 6.6330 & 6.8019 & 6.9753 & 7.1533 & 7.3359 & 7.5233 & 7.7156 & 8.1152 \\\hline 7 & 7.6625 & 7.8983 & 8.1420 & 8.3938 & 8.6540 & 8.9228 & 9.2004 & 9.4872 & 10.0890 \\\hline 8 & 8.8923 & 9.2142 & 9.5491 & 9.8975 & 10.2598 & 10.6366 & 11.0285 & 11.4359 & 12.2997 \\\hline 9 & 10.1591 & 10.5828 & 11.0266 & 11.4913 & 11.9780 & 12.4876 & 13.0210 & 13.5795 & 14.7757 \\\hline 10 & 11.4639 & 12.0061 & 12.5779 & 13.1808 & 13.8164 & 14.4866 & 15.1929 & 15.9374 & 17.5487 \\\hline\end{array} The present value of $2,000 to be received nine years from today at 8% interest compounded annually is $1,000.40.(PV of $1,FV of $1,PVA of $1,and FVA of $1)(Use appropriate factor(s)from the tables provided.)

A) True
B) False

Correct Answer

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