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Gavin Collins plans to borrow $8,000 for five years

Finance Oct 26, 2020

Gavin Collins plans to borrow $8,000 for five years. The loan will be repaid with a single payment after five years, and the interest on the loan will be computed using the simple interest method at an annual rate of 6 percent. 

1.     How much will Gavin have to pay in five years? 

2.     How much will he have to pay at maturity if he's required to make annual interest payments at the end of each year?

Expert Solution

1) Computation of Amount Gavin have to pay in 5 Years:

Amount = Principal + Simple Interest

Here,

Principal = $8,000

Simple Interest = Principal*Rate*Time = $8,000*6%*5 years = $2,400

 

Amount = $8,000+$2,400 = $10,400

So, Amount that Gavin have to pay in 5 Years is $10,400.

 

2) Computation of Amount that he will have to pay at maturity if he's required to make annual interest payments at the end of each year:

Amount = Principal + Interest for that year

= $8,000 + $8,000*5%*1

= $8,000 + $400

Amount = $8,400

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