Question

A loan of $10,000 is to be repaid by 20 equal quarterly payments at a nominal...

A loan of $10,000 is to be repaid by 20 equal quarterly payments at a nominal interest rate of 6% per year compounded semiannually. The first payment is at the end of the first quarter. What is the size of each payment? Calculate the payment by
(1) finding the equivalent interest rate convertible at the same frequency as payments.
(2) using the formula (“Fusion” method). (Answer: $581.82)

mathematical interest theory/financial math
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Answer #1

To calculate

Step 1. Effective interest rate semi annually

= Nominal(6%,2)

Formula = r*(1+r/n)^n

= 5.91%

Step 2 . Calculating the cash flows(PMT)

Excel or calculation

Present value(PV) = 10,000

NO of installemnts(NPER) = 20

Interest rate = 5.91/4 (RATE)

Calculate PMT

PMT = -581.82

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