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Appendix: Present Value Table<br />

One factor that affects the present value of future income is the interest rate. The higher the<br />

interest rate that could be earned if a person had the money now, the lower the present value of<br />

the future income.<br />

Another factor that affects the present value of future income is the number of years until the<br />

future income is to be received. The longer until the future income is to be received the lower the<br />

present value of the future income.<br />

The table below shows the present value of $1,000 of future income to be received at different<br />

numbers of years in the future and at a variety of interest rates. The table illustrates that if either<br />

the length of time until the income is to be received increases or the interest rate increases, the<br />

present value of the future income decreases.<br />

Present Value of $1,000 to be Received in the Future<br />

Years in<br />

Interest Rate<br />

the Future 3% 5% 7% 10% 15%<br />

1 $970.87 $952.38 $934.58 $909.09 $869.57<br />

2 942.60 907.03 873.44 826.45 756.14<br />

3 915.14 863.84 816.30 751.32 657.52<br />

4 888.49 822.70 762.90 683.01 571.75<br />

5 862.61 783.53 712.99 620.92 497.18<br />

6 837.48 746.22 666.34 564.47 432.33<br />

7 813.09 710.68 622.75 513.16 375.94<br />

8 789.41 676.84 582.01 466.51 326.90<br />

9 766.42 644.61 543.93 424.10 284.26<br />

10 744.09 613.91 508.35 385.54 247.19<br />

15 641.86 481.02 362.45 239.39 122.89<br />

25 477.61 295.30 184.25 92.30 30.38<br />

50 228.11 87.20 33.95 8.52 .92<br />

Study Guide for Chapter 26<br />

Chapter Summary for Chapter 26<br />

Interest is the payment for the use of loanable funds. The interest rate is determined by the<br />

supply of and the demand for loanable funds. The supply of loanable funds comes from<br />

households that save part of their income in order to accumulate wealth and to earn interest on<br />

savings. The quantity of household saving will be directly related to the interest rate.<br />

The demand for loanable funds comes from consumers, who have a positive rate of time<br />

preference. A positive rate of time preference means that consumers prefer earlier consumption<br />

to later consumption. The consumer demand for loanable funds will be inversely related to the<br />

interest rate. The demand for loanable funds also comes from business firms, which wish to<br />

invest in physical capital. The investment demand for loanable funds will be inversely related to<br />

the interest rate.<br />

The equilibrium interest rate occurs where the quantity demanded of loanable funds equals the<br />

quantity supplied of loanable funds. Investment demand for loanable funds will increase or<br />

decrease depending on the expected rates of return from investment in capital. Interest rates vary<br />

depending on; (1) risk, (2) term of the loan, and (3) relative cost of making the loan. The real<br />

interest rate is the nominal interest rate minus the rate of inflation.<br />

FOR REVIEW ONLY - NOT FOR DISTRIBUTION<br />

26 - 9 Interest, Present Value, Rent, and Profit

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