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Columbia Bank & Trust has just given you a $20,000 term loan to pay for a new concrete mixer. The loan requires five equal annual end-of-the-year payments. If the loan provides the bank with a 12 percent return, what will be your annual payments?

Answer :

Answer:

$5,548.19

Explanation:

According to the scenario, computation of the given data are as follows,

Principal payment (p)= $20,000

Rate of interest (r) = 12%

Time period (t) = 5

So, we can calculate the annual payment by using following formula,

Annual payment = [p×r×[tex](1+r)^{t}[/tex]] ÷ [ [tex](1+r)^{t}[/tex]-1]

By putting the value, we get

= [$20,000×0.12 [tex](1+0.12)^{5}[/tex]] ÷ [[tex](1+0.12)^{5}[/tex]-1]

By solving the equation, we get

= $5,548.19

Hence, the annual payment will be $5,548.19.

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