Present value of the stream of annuities


Task: The following is a list of four projects that Capital Corporation must choose from for the coming year:

Project    Project Price    Annual Net Inflows
A              700,000             118,861
B              670,000             109,039
C              184,000              32,549
D              273,000              48,305   

Question 1: Given a uniform rate of interest of 9% and a uniform life of the projects of 10 years each, calculate the NPVs of each Project (To calculate NPV, calculate the Present Value of a 10 year annuity, and subtract the project price.  The formula for the present value factor of an annuity is given below where r is the rate of interest and n is the number of years. To get the present value of the stream of annuities multiply the PVF by the amount you get each year.)

2027_Present value factor of an annuity.jpg

Question 2: Why should we choose either Projects A,C, D or Projects A, B, D?

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Microeconomics: Present value of the stream of annuities
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