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A company currently owes $30,000 to a bank for a loan it took 6 years and 4 months ago

Finance Aug 07, 2020

A company currently owes $30,000 to a bank for a loan it took 6 years and 4 months ago. The interest rate charged on the loan was 5.5% compounded monthly. 
a. What was the original principal of the loan? 
Round to the nearest cent 
b. What was the amount of interest charged on the loan? 

Expert Solution

a). Computation of the original principal of the loan:-

Here,

Rate = 5.5%/12 = 0.45833% (monthly)

n = (6*12)+4 = 76 periods (monthly)

Amount = Principal * (1+rate)^n

$30,000 = Principal * (1+0.45833%)^76

Principal = $30,000 / 1.4156

= $21,192.77 Or $21,193

 

b). Computation of the amount of interest charged on the loan:-

Amount of interest = Amount - Principal

= $30,000 - $21,192.77

= $8,807.23 Or $8,807

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