Present Value Question

A new copy of a book costs $118. You buy it at that price and then after one month you sell it for $80. You could have put your money in a 1 month CD that pays 2.4% annually.

In present value terms, how
much did you pay on the day of purchase to “rent” this
book for one month?

Thanks for the help.

 

Oh good god, I can't believe I have to point out the obvious. To the naked eye, it appears like this:

2.4%/12 = .2% (rounded) 2.5%/12 = .2% (rounded)

To a more astute eye, the issue lies in your inconsistent use of significant figures:

2.4%/12 = 0.002000 2.5%/12 = 0.002083

Hence, 38.17.

 

Can someone clear this question up for me?

From what I can understand, the person could've invested the $120 at 2.4% annual rate so that's 1.002* 120 = $120.24

Instead the person got $80 back, so that's 120.24 - 80 = $40.24 that the person missed out on, or -40.24.

Can someone explain why the 80 is being discounted to PV instead of the 120 into FV?

Thanks

 

The question was what the cost to "rent" the book would be in present value terms, so you take all CF associated with the book and PV it.

Why are you compounding $118 (not 120 btw) by the CD rate?

Not buying the book and investing it into a CD has absolutely nothing to do with anything. The CD rate is only shown as an opportunity cost so you know what to discount it by.

 
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