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Liono4ka [1.6K]
3 years ago
9

New Body, a gym, bought new exercise equipment on credit. The purchase price was $10,438.88. They secure the loan with a financi

ng company that charges 6.25% per year compounded quarterly for 6 years. How much are their quarterly payments?
Present Value with compound interest
Future V alue of an Annuity
Present V alue of an Annuity
Amortization
Sinking Fund

a. $578.41
b. $524.94
c. $503.78
d. $612.94
e. $486.78
Business
1 answer:
LiRa [457]3 years ago
4 0

Answer:

b. $524.94

Explanation:

We need to solve for the PTM of a 6 year annuity with quarterly payment discount for 6.25% compounding quarterly as well:

PV \div \frac{1-(1+r)^{-time} }{rate} = PTM\\

PV $10,438.8800

time 24 (6 years x 4 quarter per year)

rate 0.015625 8 ( 0.0625 / 4 )

The payment every quarter will be for:

10438.88 \div \frac{1-(1+0.015625)^{-24} }{0.015625} = PTM\\

PTM  $ 524.942

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