If you were to borrow $9,100 over five years at 0.13 compounded monthly, what would be your monthly payment? Round to two decimal places. check_circle Expert Answer thumb_up   thumb_down Step 1 Annuity - Annuity means the amount of series of payments based on fixed intervals periods. The formula used to calculate annuity is = Amount*PAVF(R, N) where PAVF = Present value annuity factor, R = Interest rate , N= no of periods     Step 2 In the given question we have,  Amount borrowed = $9,100 Interest rate = 0.13% compounded monthly N = no.of periods = 5*12 = 60 periods Let the monthly payment be =x x,PVAF(0.13%,60) = $9,100 X*PVAF(1+0.0013)60 = $9,100 X*61.4396868 = $9,100 how is this calculated?  I don't get this number. X = $9,100/61.4396868  X = $ 148.11 monthly payment = $148.11

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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If you were to borrow $9,100 over five years at 0.13 compounded monthly, what would be your monthly payment? Round to two decimal places.

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Step 1

Annuity - Annuity means the amount of series of payments based on fixed intervals periods.

The formula used to calculate annuity is = Amount*PAVF(R, N)

where PAVF = Present value annuity factor, R = Interest rate , N= no of periods

 

 

Step 2

In the given question we have, 

Amount borrowed = $9,100

Interest rate = 0.13% compounded monthly

N = no.of periods = 5*12 = 60 periods

Let the monthly payment be =x

x,PVAF(0.13%,60) = $9,100

X*PVAF(1+0.0013)60 = $9,100

X*61.4396868 = $9,100 how is this calculated?  I don't get this number.

X = $9,100/61.4396868 

X = $ 148.11

monthly payment = $148.11

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