BUS 225 Section 1 Review Problems
Solutions
Personal Finance (North Carolina State University)
, lOMoARcPSD|3013804
Section #1-Recommended Review Problems Solutions
Chapter #1
PROBLEMS (p. 24-25)
(Note: Some of these problems require the use of the Time Value of Money Tables in the Chapter 1 Appendix, pp. 40-43).
1. Using the rule of 72, approximate the following amounts.
a. If the value of land in an area is increasing 6 percent a year, how long will it take for property values to double?
About 12 years ()
b. If you earn 10 percent on your investments, how long will it take for your money to double?
About 7.2 years ()
c. At an annual interest rate of 5 percent, how long will it take for your savings to double?
About 14.4 years ()
2. In 2013, selected automobiles had an average cost of $16,000. The average cost of those same automobiles is now
$20,000. What was the rate of increase for these automobiles between the two time periods?
($20,000 - $16,000) / $16,000 = .25 (25 percent)
3. A family spends $46,000 a year for living expenses. If prices increase by 3 percent a year for the next three years,
what amount will the family need for their living expenses after three years?
$46,000 ¿ 1.033 = $50,265; (or using TVM Exhibit 1-A: $46,000 x 1.093 = $50,278)
Note: slight rounding for different methods, quiz or exam problems will not be presented with such close margins.
4. Ben Collins plans to buy a house for $220,000. If that real estate is expected to increase in value by 2 percent each
year, what will its approximate value be seven years from now?
$220,000 ¿ 1.027 = $252,711; (or using TVM Exhibit 1-A: $220,000 x 1.149 = $252,780)
Note: slight rounding for different methods, quiz or exam problems will not be presented with such close margins.
5. What would be the yearly earnings for a person with $8,000 in savings at an annual interest rate of 1.5 percent?
$8,000 ¿ 0.015 = $120 (Note: since this is just for one year, the principal amount is multiplied by the interest
rate)
6. Using time value of money tables (Exhibit 1-3 or Chapter Appendix tables-Pages 40-43), calculate the following:
a. The future value of $550 six years from now at 7 percent.
$550 ¿ 1.501 = $825.55 (TVM table page 40)
b. The future value of $700 saved each year for 10 years at 8 percent.
$700 ¿ 14.487 = $10,140.90 (TVM table page 41)
c. The amount that a person would have to deposit today (present value) at a 5 percent interest rate in order to have
$1,000 five years from now.
$1,000 ¿ 0.784 = $784 (TVM table page 42)
d. The amount that a person would have to deposit today in order to be able to take out $500 a year for 10 years
from an account earning 8 percent.
$500 ¿ 6.710 = $3,355 (TVM table page 43)