Question

Another bank is also offering favorable terms, so Raphael decides to take a loan of $15,000 from this bank. He signs the loan contract at 13.00% compounded daily for three months. Based on a 365-day year, what is the total amount that Raphael owes the bank at the end of the loan’s term? (Hint: To calculate the number of days, divide the number of months by 12 and multiply by 365.)

Answer 1

Answer:

$15,495.41

Explanation:

Given that,

Loan amount = $15,000

Annual Interest rate = 13%

Daily interest rate = Annual Interest rate ÷ 365

                              = 13% ÷ 365

                              = 0.035616%

Period of loan = 3 months

Number of days:

= 365 × (3 ÷ 12)

= 91.25 days

Total amount that Raphael owes the bank at the end of the loan’s term:

= P(1 + r)^n

= 15,000 × (1 + 0.035616%)^91.25

= 15,000 × (1.00035616)^91.25

= 15,000 × 1.0330275

= $15,495.41