sally borrowed $1000 from her friend monique two years ago. their arrangement required sally to repay $250 each year for the subsequent four years. Today with two paymewnts remaining on the loan, Sally offers to repay the loan with a single payment of $475. Assuming no change in interest rates throughout the entire time, should monique accept the signle $475 payment today, why or why not

a

Explanation:

Here are the options to this question :

A. yes, 475 is more than the PV of the two remaining payments

B. More information is needed to decide

C. Monique is indifferent between the options, the PVs are equivalent

D. No, the PV of the remaining two payments is more than 475

We have to determine the present value of the remaining two payments and compare the options

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = 0

Cash flow in year 2 = 0

Cash flow in year 3 = 250

Cash flow in year 4 = 250

I = 2%

PV = $466.54

$475  is greater than $466.54. Therefore, she should accept the single $475 payment

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

a. $48.75

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