David Arredondo was paying for a car in monthly payments of $ 2,000 for ten years. He had already made the payments for the first two years; However, if you were involved in an accident and had to pay in advance 10 monthly payments, what will be the value of a single payment, corresponding to these 10 months of advance payments, if the interest rate is 15% convertible monthly ?

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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Solve the following problems without using any software, do everything in digital format, explain the formulas, substitutions and result

2. David Arredondo was paying for a car in monthly payments of $ 2,000 for ten years. He had already made the payments for the first two years; However, if you were involved in an accident and had to pay in advance 10 monthly payments, what will be the value of a single payment, corresponding to these 10 months of advance payments, if the interest rate is 15% convertible monthly ?

Expert Solution
Step 1

Present value of annuity is the current value of the future payments that are calculated using the interest rate or discount rate.

The formula of which is:

Present Value of periodic payment= P* (1- (1+r)-n)/r

Where,

P= periodic payments

r= rate of interest

n= number of period

And

Present Value of a single cash flow= Future Value / (1 + interest rate%)^n

 Where,

n= number of period

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