The company’s stock is hundred percent owned by its several cofounders, and the
ID: 2712664 • Letter: T
Question
The company’s stock is hundred percent owned by its several cofounders, and the current market price of each of the 500,000 shares of stock is $20.
When you started your work, you were immediately assigned a big project. You were asked to evaluate a new investment project: opening a new “Coffee Cup” location in Pomona. Specifically, you were asked to analyze the projected sales revenues and costs and advise your boss on whether the project could be profitable. Below is the information regarding the project:
Project life
6 years
Initial investment raised solely from equity
$1,206,000
Number of “Coffee Cup” customers, per year
Out of this number, 75% are adults, and 25% are children.
100,000
Average price that an adult customer pays in year 1
This amount will be growing by $0.50 each following year
$6
Average price that a child customer pays each year
$3
Cost of preparing food and drinks and other variable costs, per each customer’s meal
$1
Equipment rental and other fixed costs, per year
$200,000
Systematic risk (i.e., Beta) of the project
1.17
Corporate tax rate is 34%. The project will fully depreciate on straight line over 6 years.
You also know that “Coffee Cup” has three main competitors in the coffee industry, also owned fully by their respective cofounders: Coffeebucks, Coffee Bean, and Pete’s Coffee. All but Coffeebucks are comparable in size to “Coffee Cup”, with Coffeebucks being roughly twice the size. Coffeebucks’ returns are not as prone to economy-wide up or downturns when compared to the returns on an average stock in the economy, and so its systematic risk, measured by Beta, is only 0.657. For Pete’s Coffee, though, the systematic risk is higher, with the Beta of 1.051, and it is even higher for Coffee Bean and equals 1.255. You did some research and figured out that the market risk of “Coffee Cup” reflects the average risk of the competitors.
Your boss also gave you some data – that might help you in your analysis – on annual returns of the US Treasury bills which are viewed as the riskless asset, as well as for the market portfolio proxied by Standard & Poor’s 500 index:
State of the economy
(all equally likely)
Annual returns (%)
Treasury bills
S&P 500
Boom
4
25
Normal
4
12
So-so
4
1
recession
4
-3
Question 5. To impress your boss with your finance knowledge, you did an extra research regarding the possible debt financing of the project. After many sleepless nights spent on research, you came to conclusion that paying for the initial investment of the project with equity alone is not optimal. You believe that financing two third of total initial investment by debt and only one third by equity would be a good target debt-equity ratio, and that using it would maximize the value of the Pomona “Coffee Cup” project. The debt would be free of risk and thus has the same expected return as the risk-free asset. It is interest-only bonds, which means that they will require interest payments for six years, and the principal will be fully repaid at the end of the sixth year.
(a) (5 points) What is the current value of the Pomona “Coffee Cup” project using the Adjusted Present Value (APV) approach? Calculate and explain.
(b) (5 points) What is the current value of the Pomona “Coffee Cup” project using the Cash Flow-to-Equity (FTE) approach? Calculate and explain.
(c) (5 points) Finally, what would be the current value of the project based on the Weighted Average Cost of Capital (WACC) approach? Calculate and explain.
Project life
6 years
Initial investment raised solely from equity
$1,206,000
Number of “Coffee Cup” customers, per year
Out of this number, 75% are adults, and 25% are children.
100,000
Average price that an adult customer pays in year 1
This amount will be growing by $0.50 each following year
$6
Average price that a child customer pays each year
$3
Cost of preparing food and drinks and other variable costs, per each customer’s meal
$1
Equipment rental and other fixed costs, per year
$200,000
Systematic risk (i.e., Beta) of the project
1.17
Explanation / Answer
(a) ADJUSTED PRESENT VALUE APPROACH
PROJECT LIFE=6 YEARS
INITIAL INVESTMENT=$12,06,000
DEPRECIATION =$12,06,000/6=$2,01,000
TAX=34%
CALCULATION OF RE(REQUIRED RETURN)
RE=RF+R(RM-RF)BETA
RF=RISK FREE RETURN=4%
BETA=1.17
RM= MARKET RETURN=8.75%(CALCULATED BELOW)
RE=4%+(8.75%-4%)1.17
=9.56%
CALCULATION OF CURRENT VALUE OF THE POMONA COFFEE CUP PROJECT
75,000*$6
=$4,50,000
75,000*$6.5
=$4,87,500
75,000*7
=$5,25,000
75,000*7.5
=$5,62,500
75,000*8
=$6,00,000
75,000*$8.5
=$6,37,500
FROM CHILDREN(1,00,000*25%)
(2)
25,000*$3
=$75,000
25,000*$3
=$75,000
25,000*$3
=$75,000
25,000*$3
=$75,000
25,000*$3
=$75,000
25,000*$3
=$75,000
TOTAL REVENUE($)
(3)=(1)+(2)
INCOME AFTER DEPRECIATION ($)
(8)=(6)-(7)
PRESENT VALUE
(13)=(11)*(12)
STATE OF ECONOMY ANNUAL RETURN %OF S&P 500 WEIGHTED ANNUAL RETURN% BOOM 25 0.25*25 NORMAL 12 0.25*12 SO-SO 1 0.25*1 RECESSION -3 0.25*-3 TOTAL 8.75%