Question

In: Finance

Paul and Frank each borrow $1,323 for 6 months. Paul's loan uses the simple discount model...

Paul and Frank each borrow $1,323 for 6 months.

Paul's loan uses the simple discount model while Frank's loan uses the simple interest model. The annual simple discount rate on Paul's loan is 13.9%.

What would the annual simple interest rate have to be on Frank's loan if their maturity values are the same?

Solutions

Expert Solution

1. Maturity value of Paul's simple discount Loan = Amount - Amount * interest rate * 6/12 = $1323

Maturity value of Paul's simple discount Loan = Amount - Amount * 13.90% * 0.50 = $1323

Maturity value of Paul's simple discount Loan = Amount * 0.9305 = $1323

Maturity value of Paul's simple discount Loan = Amount = $1421.82

2. Simple Interest Rate =

Maturity Value = Principal + principal * interest rate * Time

1421.82 = 1323 + 1323 * interest rate * 6/12

1421.82 = 1323 + 661.50 * interest rate

Interest rate = 14.94%


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