Question

In: Finance

You plan to borrow $75,000 to purchase a small yacht, 2014 Maritimo X50, with financing from...

You plan to borrow $75,000 to purchase a small yacht, 2014 Maritimo X50, with financing from Capital One Bank. You can afford to make monthly payments of $1,475, but no more. Assuming monthly compounding, what is the highest rate you can afford on a 60-month APR loan? What is the APR on this loan? What is the EAR on this loan? Prepare an amortization schedule on the 60-month yacht loan and determine the total interest paid after 5 months

Solutions

Expert Solution

APR is calculate using RATE function in Excel :

nper = 60 (60 month loan)

pmt = -1475 (Monthly payment. This is entered with a negative sign as it is a cash outflow)

pv = 75000 (Loan amount)

The NPER calculated is the monthly rate. To get APR, we multiply by 12.

APR = 6.7143%

EAR = (1 + (APR/n))n - 1

where n = number of compounding periods per year

EAR = (1 + (6.71%/12))12 - 1

EAR = 6.9248%

Total interest paid after 5 months = $2,039


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