Consider a project with the following expected cash flows
Subject: Business   / Finance
Question
You may use Excel spreadsheet in order to perform the necessary computations for this questions. The computation of the IRR is performed using the function: =IRR(range, guess) where range refers to the range where you have inserted the data on the spreadsheet and guess refers to an initial guess as to what might the IRR be [you may guess any number].
1.   Consider a project with the following expected cash flows:
Year Cash flow
0 – $549,000
1 $91,000
2 $182,000
3 $374,000
a.   If the discount rate is 0%, what is the project’s net present value?
b.   If the discount rate is 5%, what is the project’s net present value?
c.   What is this project’s internal rate of return?
2.   Consider a project with the expected cash flows:
Year Cash flow
0 – $51,000
1 $51,000
2 $87,000
3 – $87,000
a.   What is this project’s internal rate of return (IRR)?
b.   If the discount rate is 4%, what is this project’s net present value?
3.   A project requiring a $1.26 million investment has a profitability index of 0.96. What is its net present value?
4.   Suppose that I am trying to borrow money from you to finance my business. And suppose that I promise to repay you in two installments, one payment in two years of $15,000 and one payment in four years for $10,000. If your opportunity cost of funds is 10%, how much are you willing to lend me?
5.   What is the effective annual rate of interest for a loan that has an 15% annual percentage rate, compounded monthly?

