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dmitriy555 [2]
3 years ago
6

Suppose you borrow $9,875 and then repay the loan by making 12 monthly payments of $863.58 each. What is the effective annual ra

te (EAR) you are paying
Business
1 answer:
slava [35]3 years ago
5 0

Answer:

9.38%

Explanation:

PV = $9,875

PMT = $863.58

NPER = 12

<em>Using the MS Rate Function to derive the Periodic rate </em>

Periodic rate = Rate(NPER, -PMT, PV)

Periodic rate = Rate(12, -863.58, 9,875)

Periodic rate = 0.0075

Periodic rate = 0.75%

Nominal rate = Periodic rate * NPER

Nominal rate = 0.75% * 12

Nominal rate = 9%

<em>Using the MS Effect Function to derive the effective annual rate (EAR)</em>

Nominal rate = 9%

NPER = 12

Effective annual rate (EAR) = Effect(Nominal rate, NPER)

Effective annual rate (EAR) = Effect(9%, 12)

Effective annual rate (EAR) = 0.0938

Effective annual rate (EAR) = 9.38%

So, the the effective annual rate (EAR) you are paying is 9.38%.

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