Question

12) Kiran bought a car for $17,200. He financed the vehicle with a 36-month auto loan through the dealership, at an interest rate of 3% APR. a) What will be his monthly payments on the loan? b) What is the total amount he would have paid for the car at the end of the 36 months? 13) An investment offers the following year-end cash flows: End of year Cash Flow $20,000 $30,000 $15,000 What is the present value of this cash flow stream at a discount rate of 15%?

This homework includes problems from Time Value of Money. Please draw a timeline for each problem, clearly mark all the inputs, and indicate the unknown component on the timeline​​​​​​​

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Answer #1

12:

Using financial calculator

Input:

PV= 17200

N= 36

I/Y = 3%/12 = 0.25%

Find Monthly payment = PMT=$500.20

B: Total amount paid = Number of months*Monthly payment

= 36* 500.2

=$ 18,007.09

12: Present value = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3

= 20000/1.15^1 + 30000/1.15^2 + 15000/1.15^3

=49938.36

Cash flows as follows

Problem 12 17200 Month 36 Month1 Mth 2 Months 3 to 35 $500.2 s500.2 < $500.2 =-=-=-: = :=== per mon 20000 30000 15000 Problem 13 Year 1 Year 2 Year 3

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