Time Value of Money – Six Functions of a Dollar
Using Assessors' Handbook Section 505 (Capitalization Formulas and Tables)
Appraisal Training: Self-Paced Online Learning Session

# Examination for Certified Property Tax Appraisers Seeking Training Credit

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1. The Future Worth of \$1 factor is used to:
2. The Present Worth of \$1 factor:
3. The Present Worth of \$1 Per Period factor is used to:
4. The Present Worth of \$1 Per Period and Present Worth of \$1 factors are the basis of yield capitalization (discounted cash flow analysis).
5. The Sinking Fund Factor is used to determine the amount of money that must be set aside each period in order to meet a future monetary obligation.
6. The Periodic Repayment factor is used to:
7. Find the Present Worth of \$1 factor at an annual interest rate of 7.00% for 10 years, assuming annual compounding.
8. Find the Present Worth of \$1 Per Period factor at an annual interest rate of 7.00% for 10 years, assuming annual compounding.
9. You have \$450,000 to invest. If you can earn an annual interest rate of 7.00%, how much would you accumulate in 10 years, assuming annual compounding?
10. You plan to invest \$2,000 in an Individual Retirement Account at the end of each year for the next 5 years. If the IRA earns an annual interest rate of 4.00%, how much will you have at the end of the 5 years, assuming annual compounding?
11. You borrow \$50,000 today and will repay the loan with equal monthly payments for 2 years at an annual interest rate of 12.00%. What is the monthly payment amount?
12. You invest \$8,000 today at an annual rate of 6.00%, assuming monthly compounding. How much will you have after 3 years?
13. You expect 4 payments of \$3,000 at the end of each of the next 4 years. At an annual interest rate of 6.00%, assuming annual compounding, what is the present value of the expected future payments?
14. How much should you deposit today in order to have \$10,000 in 5 years? Assume an annual interest rate of 5.50%, with monthly compounding.
15. You expect to receive payments of \$15,000 at the end of each year for the next 10 years. Assuming an annual interest rate of 4.00%, with annual compounding, how much would that stream of payments be worth today?
16. You expect to replace the roof of your investment property in 15 years at an estimated cost of \$800,000. If you can earn an annual interest rate of 4.00%, how much should you deposit at the end of each year in order to fund the roof replacement?
17. How much would you have to deposit now in order to have \$15,000 in 8 years, given an annual interest rate of 7.00%, with annual compounding?
18. Someone promises to pay you \$25,000 five years hence. If the annual interest rate is 6.00%, assuming annual compounding, how much would you pay for this promise today?
19. You want to save \$8,000 so that you can buy a new (used) car. If you deposit \$185.71 every month, beginning in one month, in an account that pays 12.00% interest per year, with monthly compounding, how long will you be saving for your car?
20. John deposits \$200 today in an account that pays an annual interest rate of 5.00%, with annual compounding. How much will John have in the account at the end of 10 years, assuming no withdrawals?
21. A property generates \$15,000 at the end of each year over a 7-year period. The income is deposited into an account that pays interest of 6.00 percent, compounded annually. How much will be in the account after the 7 years?
22. In 10 years, the owner of an apartment building expects to upgrade the HVAC system at a cost of \$40,000. To accumulate the funds, she plans to make monthly deposits into an account pays an annual rate of 8.00% (monthly compounding). How much does she need to deposit each month?
23. An investor acquires an income-producing property. The property's expected annual net income is \$30,000 at the end of each year over an 8-year holding period. If the investor requires an annual rate of return of 5.00% (annual compounding), what is the present value of the expected future income stream (i.e., the estimated value of the property)?
24. A property owner leases an office building for ten years at \$20,000 per year, with the tenant paying all expenses. The investor requires an annual rate of return 7.00% (annual compounding). What is the present value of the lease payments to the lessor?
25. A buyer must borrow \$200,000 to complete the purchase of a commercial property. The interest rate on the loan is 5.00%, and the term is 30 years with monthly payments. What is the buyer's monthly payment?