Quiz_ Quiz 6_ Weighted Average Cost of Capital WACC - Attempt 1 (Answers)
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Quiz 6: Weighted Average Cost of Capital WACC
Due
Mar 26 at 11:59p.m.
Points
35
Questions
35
Available
until Apr 22 at 11:59p.m.
Time Limit
None
Allowed Attempts
3
Instructions
Attempt History
Attempt
Time
Score
LATEST
Attempt 1
2,955 minutes
19 out of 35
Answers will be shown after your last attempt
Score for this attempt: 19
out of 35
Submitted Mar 25 at 2:44a.m.
This attempt took 2,955 minutes.
For this Quiz answer the questions using excel or financial calculator. (
I recommend using an spreadsheet for your calculations. You may be allowed to use
either a calculator or excel to solve similar problems on the mid term and final exams
).
You have 3 attempts on this quiz, highest score counts. There is no time limit. The correct answers will be available the next day.
Your answers should be accurate to the nearest cent (unless advised otherwise) for all monetary amounts and to 4 decimal places in Canvas (set your calculator
to six decimal places) for all other answers (unless advised otherwise). Do NOT use unit symbols ($,%), spaces or commas in your fill in the blank answers
. It is
highly recommended that you document (write or type) your answers to the question showing the equations used and the calculator steps followed in a separate
document. This will allow you to check your work against the assignment answers in Canvas and assist you in future studying for the midterm and final exams.
For complex problems, it is also useful to draw a timeline to modeling the cash flows.
Take the Quiz Again
1 / 1 pts
Question 1
Blast Corp. is an all-equity firm. The company is expected to have constant earnings of $3.75 per share per annum for the
foreseeable future (in perpetuity). If Blast’s cost of equity is 8%, and there are currently 7 million shares outstanding,
Calculate the value per share.
Do NOT use units, spaces or commas in your answers.
46.875
Value per Share Value
: 1 / 1 pts
Question 2
Blast Corp. is an all-equity firm. The company is expected to have constant earnings of $3.75 per share per annum for the
foreseeable future (in perpetuity). If Blast’s cost of equity is 8%, and there are currently 7 million shares outstanding,
Calculate the estimated market value of the firm's equity.
Do NOT use units, spaces or commas in your answers.
328,125,000
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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Market value equity (E) = Share Price x number of shares outstanding (n) = E = P
x n
= $46.88 X 7 Million Shares = $328,125,000
Note: the book uses S to denote the value of equity; E is also commonly used to denote equity
1 / 1 pts
Question 3
Using the CAPM, calculate the cost of equity (ke) for Bono Corp. where the Bank of Canada 1 year yield for T-Bills is estimate
for the risk-free rate (RF), Bono Corp’s beta is equal to 1.43, and an expected market return (ERm) of 9%?
1. Research the risk free rate:
Go to: http://www.bankofcanada.ca/rates/interest-rates/t-bill-yields/
(http://www.bankofcanada.ca/rates/interest-rates/t-
bill-yields/)
Part 1: Select the Rate from Treasury bill average yields - 1 year 2020-03-03
Do NOT use units, spaces or commas in your answers.
1.2
T-bill average yield from 2020-03-03 = 1.20%
=0.012
0 / 1 pts
Question 4
Incorrect
Incorrect
Using the CAPM, calculate the cost of equity (ke) for Bono Corp. where the Bank of Canada 1 year yield for T-Bills is estimate
for the risk-free rate (RF), Bono Corp’s beta is equal to 1.43, and an expected market return (ERm) of 9%?
1. Research the risk free rate:
Go to: http://www.bankofcanada.ca/rates/interest-rates/t-bill-yields/
(http://www.bankofcanada.ca/rates/interest-rates/t-
bill-yields/)
Part 2:
Calculate Bono Corp's Cost of Equity using the CAPM to 4 decimal places. Do NOT use units, spaces or commas in your answers.
12.354
Use the CAPM equation to solve for ke
Note: (ER
–RF) is also known as the market risk premium
1 / 1 pts
Question 5
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publically
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 1: Calculate the market value of the firm.
Do NOT use units, spaces or commas in your answers.
7,000,000
Solve for V when E and D are given in the question V = D +E
Where: E = market value of the firm’s equity and D = market value of the firm’s debt
D = the market value of the firm’s D debt which is also denoted as B in the textbook
V = $4,600,000 + $2,400,000 = $7,000,000
1 / 1 pts
Question 6
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publically
traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 2: Calculate the ratio of equity to value (E/V) to 4 decimal places
Do NOT use units, spaces or commas in your answers.
0.6571
E/V = $4.6M/$7M = 0.657143
1 / 1 pts
Question 7
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publically
traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 3: Calculate the ratio of debt to value (D/V) to 4 decimal places
Do NOT use units, spaces or commas in your answers.
0.3429
D/V = $2.4M/$7M = 0.342857
Alternatively D/V = (1.00 – E/V) so 1.00 - 0.6557143 = 0.342857
1 / 1 pts
Question 8
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publicly
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traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 4: Calculate k
to 4 decimal places
Do NOT use units, spaces or commas in your answers.
0.1263
1 / 1 pts
Question 9
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publically
traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 5: Calculate k
to 4 decimal places Note: K
(1-T) = after tax cost of debt which is also denoted as k
Do NOT use units, spaces or commas in your answers.
0.042
K
= K
* (1-T) = 0.06 *(1-0.3) = 0.042
1 / 1 pts
Question 10
Calculate Zee Company’s weighted average cost of capital (WACC). Assume that the market values of Zee Company’s equity
and debt are $4,600,000 and $2,400,000 respectively. The cost of debt (before tax) is 6%. The company is not publically
traded, but similar companies listed on the TMX stock exchange have a beta of 1.25. Assume that the market risk premium is
equal to 8.5%. The tax rate is 30% and the risk free rate (RF) is equal to 2.0%.
Part 6: Calculate ZEE Company’s WACC to 4 decimal places
Do NOT use units, spaces or commas in your answers.
0.0974
WACC = k
(E/V) + k
(1-T) (D/V)
WACC = 0.657143 * 0.12625 + 0.342857 * 0.042 = 0.09736430
1 / 1 pts
Question 11
What is the cost of issuing new equity for Happy Corp. if the issuing (floatation) costs are equal to 6% (6% of the share price,
after tax). Assume that the stock is currently worth $15.00 per share. The company just paid a $0.85 dividend per share. The
dividend is expected to growth at 5.3% per year for the foreseeable future (forever). Calculate to 4 decimal places.
Do NOT use units, spaces or commas in your answers.
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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0.0669
Cost of new equity: (K
) use the DDM model except instead of price (P
) use Net Proceeds (NP)
Where: NP = P
* (1-floatation costs (F)) = P
*(1 – F) (in this case F is after tax)
1 / 1 pts
Question 12
XYZ Corp. is considering an investment in Project Maverick. This new project requires a $11,000,000 initial investment and
will produce annual net after tax cash flows according to the following pro forma:
This project will be financed internally. The project is as risky as the firm’s current operations. The market values of the firm’s
equity and debt are $56 million and $44 million respectively.
Part 1: Using the CAPM method, calculate the cost of equity.
Do NOT use units, spaces or commas in your answers.
0.1673
1 / 1 pts
Question 13
Part 2: Using the CAPM method, calculate the WAAC.
Do NOT use units, spaces or commas in your answers.
0.1143
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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WACC = k =
k = [ ( B / V )× k
]+ [ (E / V) × k
]
k = [ (1 – 0.56) x 0.046875 ] + [ 0.56 × 0.1673 ] = 0.114312 or 11.4313%
1 / 1 pts
Question 14
Part 3: Using the CAPM method, calculate the NPV of this investment.
Do NOT use units, spaces or commas in your answers.
-61,659.36
Calculate NPV using WACC by the CAPM method = I/Y
Generic steps calculator steps 0 / 1 pts
Question 15
Incorrect
Incorrect
Part 4: Calculate the Cost of Debt.
Do NOT use units, spaces or commas in your answers.
0.0625
I = Bond PMT = k
* Face Value of the Bond;
Where: k
= Risk Free rate (RF) + Premium
k
= [ (1 – Tax rate) × I ] / Net Proceeds bonds (NP
);
Where: NP
= Face Value of the Bond (B) * (1-Floatation costs (F)) in this case F = 0
k
=[ (1 – T) × I ] / NP
Note: k
= the rate of return bond investors (i.e. the market) requires on these bonds
k
= the after tax cost of the debt to the firm (k
is used in the calculation of WACC since the interest paid on bonds is
tax deductible). Another method of solving for k
is to use the Yield to Maturity (YTM) equation (see Q. 6)
1 / 1 pts
Question 16
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Part 5: Using the DDM method, calculate the cost of equity.
Do NOT use units, spaces or commas in your answers.
0.1643
Calculate Cost of Equity using the DDM method
k
= (D
/ P
) + g
= [(1.85 x (1+0.05))/15] + 0.05 = 0.164265 or 16.4265%
1 / 1 pts
Question 17
Part 6: Using the DDM method, calculate the WAAC.
Do NOT use units, spaces or commas in your answers.
0.1126
Calculate WACC= k
Where k
is the cost of equity using the DDM method
k = [ ( B / V )× k
]+ [ (E / V) × k
]
k = [ (1 – 0.56) x 0.046875 ] + [ 0.56 × 0.164265 ] = 0.112613 or 11.2613%
e
0 / 1 pts
Question 18
Incorrect
Incorrect
Part 7: Using the DDM method, calculate the NPV of the investment.
Do NOT use units, spaces or commas in your answers.
-7,008.96
Calculate NPV using WACC by the DDM method = I/Y
Generic steps calculator steps I/Y = WACC
Enter CF0, CF1, CF2, CF3, CF4, CF5, CF6
Calculate NPV
Cost of Raising New Capital (Marginal Cost of Capital MCC)
Pür Copper Corp. is a publicly traded company listed on the TMX. The company has 20,000,000 common shares outstanding
and current stock price is $30 per share.
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According to Pür Copper’s balance sheet as at December 31
20XX:
Pür Copper’s has retained earnings of $25,700,000
Pür Copper has $200,000,000 preferred shares outstanding paying a 5.3% annual dividend. These preferred shares are
owned by one of the company’s main clients, TokyoTelecom, as part of a long-term strategic partnership. This partnership
involves Pür Copper’s commitment to supply TokyoTelecom with a certain quantity of copper at a certain price each year
(these prices and quantities are revised regularly according to an agreed schedule).
Pür Copper has $300,000,000 of outstanding debt (bonds) paying a 5.5% annual coupon. These bonds were issued at
par (face value = $1000) 2 years ago and have a remaining term to maturity is 8 years
The firm’s corporate tax rate is 30%.
Pür Copper is considering investing in a new project that will require external financing. The project is as risky as the existing
operations of the firm.
Given current market circumstances, Pür Copper could raise new equity and debt under the following conditions:
Comparable 8 year corporate bonds issued at par are currently yielding 6.40% per annum. Thanks to its long-term
agreement with TokyoTelecom, Pür Copper’s bonds are perceived as less risky than similar corporate bonds. Therefore,
the yield required by potential investors is 30 basis points lower than the yield required for other comparable corporate
bonds. A 2.75% (after tax) underwriting fee (floatation costs) applies to new bond issues.
Pür Copper could issue new common shares at 5% discount from the current market price per share. Existing
shareholders expect a 19.9% return on their investment.
New preferred shares could be issued with 5.9% yield. After tax issuing and underwriting fees are equal to 6.3% of par
value.
Remember 1% = 100 basis points
What is Pür Copper Corp.’s marginal cost of capital (MCC)?
Step 1: Calculate the cost to the firm for k , k
and k
Note: Calculate the k in order to solve for the market value of the debt
Step 2: Find the market values of B, P and E
Step 3: Solve for the weights: B/V, P/V and E/V
Step 4: Calculate the MCC
Note: MCC = WACC for the next dollar raised (for a given capital structure)
Answer the next 17 Questions
st
i
p
e
i
0 / 1 pts
Question 19
Incorrect
Incorrect
Calculate the Cost of Debt k
(after tax and after flotation costs)
Calculate the Coupon Rate for New Bonds:
Do NOT use units, spaces or commas in your answer.
i
0.0566
Coupon rate (new bonds) = comparable bond rates +/- risk premium/discount
0 / 1 pts
Question 20
Incorrect
Incorrect
Calculate the after tax annual coupon payment:
Do NOT use units, spaces or commas in your answer.
0.0396
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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Annual coupon (before tax) = I = B x coupon rate
Annual coupon (after tax) = I *(1-Tax rate)
0 / 1 pts
Question 21
Incorrect
Incorrect
Calculate the net proceeds from the new bonds
Do NOT use units, spaces or commas in your answer.
291,750,000
Net Proceeds = NP = B * (1 –floatation costs)
0 / 1 pts
Question 22
Incorrect
Incorrect
Solve for the firm’s after tax cost of debt k
Do NOT use units, spaces or commas in your answer.
i
0.448
Use the YTM equation from Chapter 6
0 / 1 pts
Question 23
Incorrect
Incorrect
Calculate the Cost of Preferred Equity k
Calculate the Preferred Dividend D
Do NOT use units, spaces or commas in your answer.
p
p
11,800,000
D
= P
* Preferred Dividend rate
p
p
0 / 1 pts
Question 24
Incorrect
Incorrect
Calculate the Net Proceeds from issuing new preferred shares
Do NOT use units, spaces or commas in your answer.
18,740,000
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NP
= Par Value x (1 – issuing costs)
P
1 / 1 pts
Question 25
Calculate the cost of Preferred Equity (k
) to 4 decimal places
Do NOT use units, spaces or commas in your answer.
p
0.0629
k
= D
/ NP
= 0.059 / 0.9370 = 0.062967 =6.2967%
p
p
p 1 / 1 pts
Question 26
Calculate the Cost of New Common Equity k
Calculate the Net Proceeds per share NP
Do NOT use units, spaces or commas in your answer.
ne
e
28.5
NP
= P
x (1-discount)
=$30.00x (1 -0.05) = $28.50
e
0
0 / 1 pts
Question 27
Incorrect
Incorrect
Calculate the cost of new common equity k
(to 4 decimal places)
Do NOT use units, spaces or commas in your answer.
ne
0.1396
k
= (P
/ NP
) * k ne
0
e
e
0 / 1 pts
Question 28
Incorrect
Incorrect
Calculate the Market Value Debt B to the nearest cent
Do NOT use units, spaces or commas in your answer.
55,044,876.79
B = Market Value per Bond x Number of Bonds Outstanding
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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0 / 1 pts
Question 29
Incorrect
Incorrect
Calculate the Market Value Preferred Equity P to the nearest cent
Do NOT use units, spaces or commas in your answer.
187,400,000
P
= Dp/kp x number of preferred shares outstanding
0 / 1 pts
Question 30
Incorrect
Incorrect
Calculate the Market Value Common Equity E to the nearest cent
Do NOT use units, spaces or commas in your answer.
570,000,000
E = P
x number of shares outstanding
Note: the value of retained earnings is incorporated into the current market price of equity.
0
0 / 1 pts
Question 31
Incorrect
Incorrect
Calculate the market value of the firm to the nearest cent
Do NOT use units, spaces or commas in your answer.
812,444,876.79
V
= B
+ P
+ E
0 / 1 pts
Question 32
Incorrect
Incorrect
Step 3: Solve for the weights: B/V, P/V and E/V
Calculate the Bond to Value B/V weight to 4 decimal places
Do NOT use units, spaces or commas in your answer.
0.0678
Calculate B/V
1 / 1 pts
Question 33
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Quiz 6: Weighted Average Cost of Capital WACC: BUSI 370 202 2022W2 Business Finance
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Calculate the Preferred Equity to Value P/V weight to 6 decimal places
Do NOT use units, spaces or commas in your answer.
0.2307
P/V = 179,661,016.95 /1,068,527,492.38= 0.168139
0 / 1 pts
Question 34
Incorrect
Incorrect
Calculate the Equity to Value E/V weight to 6 decimal places
Do NOT use units, spaces or commas in your answer.
0.7016
Calculate E/V
1 / 1 pts
Question 35
Step 4: Calculate the MCC
Note: MCC = WACC for the next dollar raised (for a given capital structure)
Calculate the MCC to 4 decimal places
0.1428
Quiz Score: 19
out of 35
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