MOS3310: Managerial Finance Final Exam – Winter 2020 April 15, 2020 INSTRUCTIONS: 1. The Exam is open book and you may use the textbook and excel for your calculations. 2. Please take pictures/scan...

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Answer To: MOS3310: Managerial Finance Final Exam – Winter 2020 April 15, 2020 INSTRUCTIONS: 1. The Exam is...

Kushal answered on Apr 15 2021
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MOS3310: Managerial Finance Final Exam – Winter 2020
April 15, 2020
INSTRUCTIONS:
1. The Exam is open book and you may use the textbook and excel for your calculations.
2. Please take pictures/scan your exam booklet and show as much work as possible.
3. Just writing a few numbers without showing the steps will not give you any grades.
4. Use reasonable assumptions if you feel like any information is missing.
1. Consider the following information about s
tocks I and stock II.
    State of the economy
    Probability of state of economy
    Return of stock I
    Return of Stock II
    Recession
    0.25
    .02
    -0.25
    Normal
    0.5
    .21
    .09
    Boom
    0.25
    .06
    .44
The market risk premium is 8% and risk free rate is 4%. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is “riskier”? Explain.
Systematic risk can be calculated using the beta value. Here the stock I has the higher beta value and hence, the systematic risk is higher for it.
It can be calculated using the CAPM model .
Expected return = Rf + Beta * (MRP)
Expected return can be calculated by multiplying the probabilities and returns.
Expected return stock I = 0.25* 0.02 + 0.5*0.21 + 0.25*0.06 = 12.5%
Expected return stock I = 0.25* -0.25 + 0.5*0.09 + 0.25*0.44 = 9.25%
B1 = 12.5% /- 4% / 8% = 1.06
B2 = 9.25%- 4% / 8% = 0.65
Unsystematic risk can be calculated using the standard deviation. Here the stock II has higher standard deviation and hence, it is more unsystematic risk. Stock II is much riskier due to overall higher standard deviation.
    State of the economy
    Probability of state of economy
    Return of stock I
    Return of Stock II
    Recession
    0.25
    0.02
    -0.25
    Normal
    0.5
    0.21
    0.09
    Boom
    0.25
    0.06
    0.44
    Expected Return
     
    0.125
    0.0925
    Standard deviationn
     
    0.1362
    0.25236
    Beta
     
    1.0625
    0.65625
2. Consider the following information on 3 stocks.
    State of the economy
    Probability of state of economy
    Return of stock A
    Return of Stock B
    Return of Stock C
    Recession
    0.20
    .24
    .36
    .55
    Normal
    0.55
    .17
    .13
    .09
    Boom
    0.25
    0
    -.28
    -.45
a. If your portfolio is invested 40% in A , 40% in B and 20% in C. What is the portfolio expected return?
As we mentioned in the first question, we can calculate the expected return for all three stocks. Once we are done with that we can assign the weights of the portfolio and get portfolio return.
Expected return stock – A = 0.20 * 0.24 + 0.55* 0.17 + 0.25*0 = 14.15%
Expected return stock – A = 0.20 * 0.36 + 0.55* 0.13 + 0.25*0.28 = 7.35%
Expected return stock – A = 0.20 * 0.55 + 0.55* 0.09 + 0.25*-0.45 = 4.7%
Portfolio expected return = 40% * 14.15% + 40% * 7.35% + 20% * 4.7% = 9.54%
    State of the economy
    Probability of state of economy
    Return of stock A
    Return of Stock B
    Return of Stock C
    Recession
    0.2
    0.24
    0.36
    0.55
    Normal
    0.55
    0.17
    0.13
    0.09
    Boom
    0.25
    0
    -0.28
    -0.45
     
     
    14.15%
    7.35%
    4.70%
    Weights
     
    40%
    40%
    20%
    Portfolio Return
     
    9.54%
     
     
b. What is the portfolio standard deviation?
Portfolio standard deviation = sqrt (W1^2 * r1^2 +w2^2 * r^2 + w3^2 * r3^2) = 6.45%
c. If the expected t-bill rate is 3.8%, what is the expected risk premium on the portfolio?
Expected risk premium = Expected return – risk free rate = 9.54% - 3.8% = 5.74%
d. If the expected inflation rate is 3.5%, what are the approximate and exact expected real returns on the portfolio?
Approximate return = 9.54% - 3.5% = 6.04%
Exact return = (1+ 9.54% ) / (1+3.5%) – 1 = 5.8357%
3. Coral corporation just paid a dividend of $4.25 a share. The company will increase its dividend by 20% next year and will then reduce its dividend growth rate by 5% a year (example year 2 dividend growth rate is 20% - 5% = 15%) until it reaches the industry average of 5 percent dividend growth after which the company will keep the constant growth rate of 5%.
a. If the required rate of return on Coral corp stock is 11%, what will be the share price according to the Dividend discount model?
    Growth rate
     
    20%
    15%
    10%
    5%
    Dividends
    4.25
    5.1
    5.865
    6.4515
    6.774075
    PV of all the future dividends after stability
     
     
     
     
    118.5463
    Total dividends
    4.25
    5.1
    5.865
    6.4515
    125.3204
    PV of all dividends
    $96.62
     
     
     
     
PV of all the dividends after the growth rate becomes 5% = 6.77 * 1.05 / (11% - 5%) = 118.5463
PV of all the dividends = 5.1 / 1.11 + 5.865 / 1.11^2 + 6.4515 / 1.11^3 + 125.32 / 1.11^4 = 96.62
b. If the share price is 63.82$ and all the dividend information remains the same, what is...
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