Question

# A company is analyzing two mutually exclusive projects, S and L, with the following cash flows:...

A company is analyzing two mutually exclusive projects, S and L, with the following cash flows:

 0 1 2 3 4
 Project S -\$1,000 \$886.19 \$250 \$15 \$5 Project L -\$1,000 \$10 \$260 \$380 \$784.81 The company's WACC is 8.5%. What is the IRR of the better project? (Hint: The better project may or may not be the one with the higher IRR.) Round your answer to two decimal places.

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

S:

Present value of inflows=886.19/1.085+250/1.085^2+15/1.085^3+5/1.085^4

=\$1044.48

NPV=Present value of inflows-Present value of outflows

=\$1044.48-\$1000

=\$44.48(Approx)

L:

Present value of inflows=10/1.085+260/1.085^2+380/1.085^3+784.81/1.085^4

=\$1093.88

NPV=Present value of inflows-Present value of outflows

=\$1093.88-\$1000

=\$93.88(Approx)

Hence Project L is a better project.

Let irr be x%
At irr,present value of inflows=present value of outflows.

1000=10/1.0x+260/1.0x^2+380/1.0x^3+784.81/1.0x^4

Hence x=irr=11.50%(Approx).