Q: Suppose you invest $75 per week for 45 years in a retirement account earning 7% annual return, compounded weekly. Which formula would you use to calculate the future value (FV) of this annuity?

$$FV = PMT \times \frac{(1 + r)^n - 1}{r}$$

Q: If the present value of a future payment is $4,545 and the interest rate is 10%, what is the future value after one year?

$$4,545 \times (1 + 0.10) = 5,000$$

Question 1

Which of the following best describes the concept of the time value of money?

Accepted Answer

Money earns interest over time, making a dollar today worth more than a dollar in the future.

Question 2

You invest $4,545 in a bond that pays 10% annual interest. What is the value of your investment after one year?

Accepted Answer

$5,000

Question 3

Which formula correctly calculates the future value (FV) of a present investment (PV) with compound interest?

Accepted Answer

$$FV = PV 	imes (1 + r)^n$$

Question 4

If you are to receive $5,000 in two years and the annual interest rate is 10%, what is the present value (PV) of this amount?

Accepted Answer

$$PV = \frac{5,000}{(1 + 0.10)^2$} = 4,132$$

Question 5

Which of the following is NOT required to calculate the future value of an investment?

Accepted Answer

The credit rating of the investor

Question 6

What is compound interest?

Accepted Answer

Interest earned on both the principal and the accumulated interest

Question 7

A $100,000 bond pays 9% annual interest, but the market rate is 10%. If interest is paid semiannually, what is the semiannual market rate used for present value calculations?

Accepted Answer

5%

Question 8

Which of the following best defines 'discounting' in the context of present value calculations?

Accepted Answer

Reducing the value of a future payment to reflect the time value of money

Question 9

You want to calculate the present value of an annuity in Microsoft Excel. Which function should you use?

Accepted Answer

PV

Question 10

Suppose you invest $75 per week for 45 years in a retirement account earning 7% annual return, compounded weekly. Which formula would you use to calculate the future value (FV) of this annuity?

Accepted Answer

$$FV = PMT 	imes \frac{(1 + r)^n - 1}{r}$$

Question 11

A car is priced at $18,000. You take a 5-year loan at 6% annual interest, compounded monthly. Which value should you use for the number of periods (N) in your loan payment calculation?

Accepted Answer

60

Question 12

If the present value of a future payment is $4,545 and the interest rate is 10%, what is the future value after one year?

Accepted Answer

$$4,545 	imes (1 + 0.10) = 5,000$$

Question 13

Which of the following statements about interest is correct?

Accepted Answer

To borrowers, interest is a fee paid for using money.

Question 14

If you are to receive $5,000 in one year and the discount rate is 10%, what is the present value?

Accepted Answer

$$PV = \frac{5,000}{1.10} = 4,545$$

Question 15

Which of the following is a correct rearrangement of the present value and future value formulas?

Accepted Answer

$$PV = \frac{FV}{(1 + r)^n}$$

Question 16

A bond pays $$4,500 every six months for 5 years, with a face value of 100$$,000. The market rate is 10% annually, compounded semiannually. How many periods (N) should be used in the present value calculation?

Accepted Answer

10

Question 17

Which of the following best explains why the present value of a future payment decreases as the interest rate increases?

Accepted Answer

Because higher interest rates reduce the amount you need to invest today to reach a given future value.

Question 18

When using Excel to calculate the present value of an annuity, which of the following should be entered as a negative number?

Accepted Answer

The payment (PMT)

Question 19

If you invest $4,132 today at 10% interest, compounded annually, what will be the value of your investment after two years?

Accepted Answer

$$4,132 	imes (1 + 0.10)^2$ = 5,000$$

Question 20

Which of the following real-life scenarios best illustrates the use of the time value of money?

Accepted Answer

Determining the monthly payment for a car loan

Appendix F: Time Value of Money – Financial Accounting Study Notes

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