Q: Which formula correctly calculates the future value of an investment with compound interest?

$$Future\ value = Present\ value \times (1 + Interest\ rate)^n$$

Question 1

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

Accepted Answer

Money earns interest over time, making future sums worth more than present sums.

Question 2

If you invest $4,545 in a corporate bond at 10% annual interest, what will be the future value after one year?

Accepted Answer

$5,000

Question 3

Which formula correctly calculates the future value of an investment with compound interest?

Accepted Answer

$$Future\ value = Present\ value 	imes (1 + Interest\ rate)^n$$

Question 4

What is the present value of $5,000 to be received one year from now at an interest rate of 10%?

Accepted Answer

$$4,545$$

Question 5

Which of the following is NOT a factor needed to calculate the future value of an investment?

Accepted Answer

The investor's age

Question 6

Compound interest is best described as:

Accepted Answer

Interest earned on both the principal and previously earned interest.

Question 7

If the present value of $$5,000 to be received in two years at 10% interest is 4$$,132, which formula is used?

Accepted Answer

$$Present\ value = \frac{Future\ value}{(1 + Interest\ rate)^n}$$

Question 8

What is the present value of an ordinary annuity that pays $10,000 annually for 3 years at 12% interest, given the present value factors: Year 1: 0.893, Year 2: 0.797, Year 3: 0.712?

Accepted Answer

$$24,020$$

Question 9

Which approach is NOT used to adjust available-for-sale investments to fair value?

Accepted Answer

Level 4: Historical cost method

Question 10

A company expects to receive $500,000 four years from now. If the interest rate is 8%, what is the present value?

Accepted Answer

$$500,000 \div (1.08)^4$

Question 11

Which Excel function is commonly used to calculate the present value of an annuity?

Accepted Answer

PV

Question 12

An investor purchases a 5-year bond with a face value of $100,000, paying 9% interest annually, but the market rate is 10%. What is the present value of the bond?

Accepted Answer

$$96,149$$

Question 13

Which of the following best describes discounting?

Accepted Answer

Reducing a future payment to its present value using an interest rate.

Question 14

If you invest $4,545 at 10% interest for 5 years, what is the future value using compound interest?

Accepted Answer

$$4,545 	imes (1 + 0.10)^5$

Question 15

Which of the following is a real-world application of the time value of money?

Accepted Answer

Calculating the amount needed to save for retirement.

Question 16

What is the present value of $100,000 to be received in 10 periods at a 5% interest rate, using the present value factor 0.614?

Accepted Answer

$$100,000 	imes 0.614$$

Question 17

Which of the following is true about ordinary annuities?

Accepted Answer

They provide multiple receipts of equal amount at fixed intervals.

Question 18

Which level of fair value measurement uses quoted prices in active markets for identical assets?

Accepted Answer

Level 1

Question 19

If an investment pays $20,000 per year for 20 years at 8% interest, which Excel function would you use to calculate its present value?

Accepted Answer

PV

Question 20

Which of the following is a plausible reason for the present value of a future sum being less than the future value?

Accepted Answer

Interest is earned over time, so the present value must be discounted.

Time Value of Money in Financial Accounting: Concepts, Calculations, and Applications

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