Jim accepted a $2000 loan from his uncle Kurt. Uncle Kurt agreed to defer payments for 2 years until after Jim graduates from college. How much will Jim owe in 2 years if his uncle charges him 6% interest compounded annually?

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Jim accepted a $2000 loan from his uncle Kurt. Uncle Kurt agreed to defer payments for 2 years until after Jim graduates from college. How much will Jim owe in 2 years if his uncle charges him 6% interest compounded annually?

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Answer: Jim owe in 2 years = $ 2247.2

Working notes for the above answer is as under

we have been provided with the information  that

Jim accepted a $2000 loan from his uncle Kurt

so base amount: $2,000

agreed to defer payments for 2 years until after Jim graduates from college.

So calculation period: 2 years
his uncle charges him 6% interest compounded annually

So interest Rate: 6%
Effective Annual Rate: 6%
Now we put the figure in the formula as follow,

A = P ( 1+r ) ^ t

A = 2000(1+0.06)2

Solving this equation we get,

=$ 2,247.2

This sum could also solved in other way as under

Year Beginning amount of loan Year Interest Total Interest Balance
         
1 2000 120 120 2120
2 2120 127.2 247.2 2247.2

 

 

Jim owe in 2 years = $ 2247.2

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