Proposed project for Alchemy Inc
FIN 3150
Fall 2019
Assignment 7 – Valuing a leveraged firm
Due: November 11, 2019
You may do this assignment individually or with one other person.
A firm is planning to take a project that if funded entirely with equity has net after tax cash flows as indicated in the table below.
Yea
Cash flow
0
XXXXXXXXXX
1
1500000
2
1500000
3
1500000
4
1500000
5
1500000
6
2000000
7
2000000
8
2000000
9
2000000
10
2000000
11
2500000
12
2500000
13
2500000
14
2500000
15
2500000
16
3000000
17
3000000
18
3000000
19
3000000
20
6000000
The firm estimates that the asset beta (i.e., when funded entirely with equity) for comparable projects is 1.2. The risk free interest rate is 4.0% and the firm expects the market return over the next 20 years to average 12.0%. The project will operate as a corporation with a combined federal and state income tax rate of 26%.
The firm plans to fund 15% of the project with debt that pays 4.0% interest annually for 20 years at which time the entire principal is due.
For all of the following, use annual cash flows and annual interest payments.
1a. Using the capital asset pricing model, determine the required return of the project if funded entirely with equity.
. Calculate the net present value of the project if funded entirely with equity.
2a. Find the leveraged equity beta.
. Calculate the required return on leveraged equity. (You may use the capital asset pricing model or calculate the return directly using the debt equity ratio, the return on unleveraged equity and the interest rate.)
c. Determine the weighted average cost of capital.
d. Using the WACC method, what is the net present value of the leveraged project?
3a. Calculate the amount of the each annual interest payment on the loan.
. Calculate the present value of the interest payments.
c. Determine the value of the tax shield of interest.
d. Using the APV method, what is the net present value of the leveraged project?
4a. Determine the initial investment by equity in the project and the annual cash flows to equity for the project in years 1-20.
. Using the FTE method, what is the net present value of the leveraged project?
Proposed project for Alchemy Inc
FIN 3150
Spring 2018
Assignment 7 – Valuing a leveraged firm
Due: March 23, 2018
Do this assignment individually.
A firm has decided to take a project that requires an initial investment of $12,500,000. If funded entirely with equity, the firm expects the project to generate net (after tax) operating cash flows during the project’s twenty five year life as follows:
years 1-10 $1,925,000 per yea
years 11-20 $2,025,000 per yea
years 21-25 $2,125,000 per yea
The firm also expects to net $10,000,000 (after tax) from sale of equipment and recovery of working capital at the end of the project (i.e., in year 25). The firm estimates that the asset beta for comparable projects is 1.43. The risk free interest rate is 4.0% and the firm expects the market return over the next 25 years to average 12.0%. The project will operate as a corporation with a combined federal and state income tax rate of 40%.
The firm plans to fund 35% of the project with debt that pays 4.0% interest annually for 25 years at which time the entire principal is due.
For all of the following, use annual cash flows and annual interest payments.
1a. Using the capital asset pricing model, determine the required return on the project if it is funded entirely with equity.
. Calculate the net present value of the project if funded entirely with equity.
2a. Find the leveraged equity beta.
. Calculate the required return on leveraged equity. (You may use the capital asset pricing model or calculate the return directly using the debt equity ratio, the return on unleveraged equity and the interest rate.)
c. Determine the weighted average cost of capital.
d. Using the WACC method, what is the net present value of the leveraged project?
3a. Calculate the amount of the each annual interest payment on the loan.
. Calculate the present value of the interest payments.
c. Determine the value of the tax shield of interest.
d. Using the APV method, what is the net present value of the leveraged project?
4a. Determine the initial investment by equity in the project and the annual cash flows to equity for the project in years 1-10, years 11-20, and years XXXXXXXXXXBe sure to account for the cash flow from sale of equipment and recovery of working capital in year 25.)
. Using the FTE method, what is the net present value of the leveraged project?