A $25,000 bank loan is to be repaid in equal yearly payments of $2745 over 15 yr at an effective annual interest rate of 7%. The borrower uses the loan money to earn an annual effective return of 10% in the stock market. All money earned is kept in the stock fund. What is most nearly the present-day value of the earnings over 15 yr as a result of this loan and investment venture

The present-day value of the earnings over 15 years as a result of this loan and investment venture is:

= $24,998.51.

Explanation:

a) Bank loan = $25,000

Annuity Payment = $2,745 yearly

Period of loan = 15 years

Effective annual interest rate = 7%

Effective annual return = 10%

Future value of $25,000 at 10% for 15 years = $25,000 * 4.1777

= $104,425

The present-day value of $104,425 over 15 years at 10% effective annual return, using an online financial calculator =

N (# of periods) = 15 years

I/Y (Interest per year) = 10 years

PMT (Periodic Payment) = 0

FV (Future Value) = $104,425

Results

PV = $24,998.51

Total Interest$79,426.49

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