Question

You invested in a 3-month certificate of deposit at your bank. Your investment was $1,902, and at the end of the term you will receive $2,178.
a. What is the holding period return (HPR) on your investment? (Round your answer to 2 decimal places.)
b. What is the annual percentage rate (APR)? (Round your answer to 2 decimal places.)
c. What is the effective annual rate (EAR)? (Round your answer to 2 decimal places.)

Answer 1

Answer and Explanation:

The computation is shown below:

a. Holding period return would be

= Income + (End of Period Value - Initial Value) ÷ Initial Value

= 0 +($2,178 - $1,902) ÷ $1,902

= 0 + $276 ÷ $1,902

= 14.51%

b. The annual percentage rate is

For 3 months, the rate is 14.51%

Now

For 12 months, it is

= 14.51% ÷ 3 ×  12

= 14.51 % × 4

= 58.04%

c. The effective annual rate is

= ( 1 + r ÷ m)^m - 1

= (1 + 58.04% ÷ 4)^4 - 1

= (1 + 0.5804 ÷ 4)^4 - 1

= (1 + 0.1451)^4 - 1

= (1.1451)^4 - 1

= 1.719387079 - 1

= 0.719387079 or 71.94%