Question

2-2 You borrow $20,000 at an annual interest rate of 8%. You will pay the loan back in two equal payments at the end of year 1 and year 4. a. Calculate the amount to be paid each year using the factor tables. b. Draw the fully labeled cash flow diagram. c. Complete the following table: BOY alanceamount BOY+Interest)Payment Interest Total Balance f) 3 4

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Answer #1

a)

Installment amount = A

20000 = A/1.08 + A/1.084

A = $ 12041.26

Cash flows ($) 5000 Cash flows Is) 5000 15000 YewTotal EOY payment balance Interest balance amount 20000.00 1600.00 EOY 764.70 10323.44 825.88 3 11149.31 89195 21600.00 12041.26 9558.74 1032344 0.00 11149.310.00 12041 261204126 0.00 9558.74 10323.44 11149.31 4

I nterest amount = BOY balance x 8%

EOY balance = Total - EOY payment

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