Your car loan has monthly payments of $295 for the next 5 years with the first payment due today. If the annual interest rate is 5.16%, what is the value of the payments today?

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
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Your car loan has monthly payments of $295 for the next 5 years with the first payment due today. If the annual interest rate is 5.16%, what
is the value of the payments today?
Transcribed Image Text:Your car loan has monthly payments of $295 for the next 5 years with the first payment due today. If the annual interest rate is 5.16%, what is the value of the payments today?
Expert Solution
Step 1: Explain present value of annuity

The present value of an annuity due can be calculated using the formula,

P V space o f space a n n u i t y space d u e equals P cross times open square brackets fraction numerator open parentheses 1 minus left parenthesis 1 plus r right parenthesis to the power of negative n end exponent close parentheses left parenthesis 1 plus r right parenthesis over denominator r end fraction close square brackets
W h e r e comma
P space equals space P e r i o d i c space p a y m e n t
r space equals space I n t e r e s t space r a t e space p e r space p e r i o d
n space equals space N u m b e r space o f space c o m p o u n d i n g space p e r i o d


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