Your bank will lend you $2,000 for 45 days at a cost of $25 interest.
a. What is your annual rate of interest? (Use 365 days in a year. Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Annual rate of interest _____%
b. What is your effective annual rate? (Use 365 days in a year. Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Effective annual rate _____%
SOLUTION :
a.
Annual rate of interest
= Interest rate for the period * number of periods in a year
= 25/2000 * 365/45
= 0.1014
= 10.14 % (ANSWER).
b.
Effective annual rate
= ( 1 + interest rate of the period)^ (number of periods in a year) - 1
= (1 + 25/2000)^(365/45) - 1
= 0.1060
= 10.60 % (ANSWER).
SEE THE IMAGE. ANY DOUBTS, FEEL FREE TO ASK. THUMBS UP PLEASE
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