Calculate the monthly payment for a loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.

A$128.46
B$163.07
C$858.18
D$1541.50

Verified Answer :

b is the correct answer to the problem.

Answer:

Option b - $163.07

Step-by-step explanation:

Given :  A loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.

To find : Monthly payment

Solution : Formula to find monthly payment

Monthly Payment = Amount / Discount factor

Discount factor \(D=\frac{1-(1+i)^{-n}}{i}\)

where ,

Amount = $7500

Rate= 11%=0.11

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Time = 5 years

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Now, put i and n in Discount factor ,

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Monthly payment,

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Therefore, Option b is correct monthly payment = $163.07