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Can you check my work please? Bank of Land lends you money today but requires no payments for 3 years. However, during this interest deferred

Can you check my work please?

Bank of Land lends you money today but requires no payments for 3 years. However, during this interest deferred period the loan accumulated interest at 6% rate, compounded quarterly. The bank amortizes the loan over five year period, requiring quarterly payments and continuing charge 6% annual interest rate, compounded quarterly. What will be the quarterly payment will be on today's loan of $20,000?

So I start with finding the deferred payment first.

FV = PV (1+1)^n

FV = 20,000(1+.06/4)^12

FV = 23,912.36

This becomes our PV for the second part of the problem

FV = 0

PV = 23,912.36

PMT = ?

i = 6%/4 = .015

n = years * 4 periods = 20 pmts

PMT = 1197.32 (done on tvm calculator)

If I did this incorrectly, can you tell me where I went wrong?

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