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FINE 3200 Lecture Notes - Lecture 7: Fat-Tailed Distribution, Efficient Frontier, Liquidity Premium

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pearantelope799

23 May 2017

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York University

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Document Summary

Prediction of the relationship between the risk and expected return of an asset: assist an educated guess for expected returns of assets that have not yet been traded in the mktplace. Benchmark rate of return for evaluating possible investments. All investor choose the same risky portfolio = market portfolio = value-weighted port of all assets in the investable universe therefore capital allocation line becomes capital market line. Theoretical price adjustment theory make sure all stock will be included in the optimal p , just a matter of price at purchase. Cml (cal): m is the optimal tangency on efficient frontier. Mutual fund theorem: asserting that investors will choose to invest their entire risky port in a market-index mutual fund. Security market line: slope is the risk premium of the market portfolio. Cml: risk premium of efficient potfolios(makret + rf assets) port sd. Sml: indi asset risk premium - o(cid:374)l(cid:455) part of port (cid:373)easured (cid:271)(cid:455) asset"s (cid:271)eta.

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Related Questions

Suppose that you have estimated the expected returns and betas of the following five stocks using annual data available for the last 10 years:

Stock	Market Size ($M)	Beta	Expected Return (%)
A	360	0.6	8
B	23	0.8	10
C	250	1.2	11
D	10	1.3	12
E	500	1.4	12

The risk-free rate of interest and the expected return on the market are 5% and 10% . You are also told that the market size of the companies in this market is normally distributed with a mean of $400M and a standard deviation of $150M.

a. Explain carefully the extent to which these data are consistent with the Capital Asset Pricing Model and whether there is an optimal investment strategy.

b. What would you advise an investor who would like to hold a portfolio with a beta equal to 1?

c. 'The risk of a company depends upon much than how well the stock market is doing. Beta only captures the co-movement of a company's share price with the market; and hence fails to capture various sources of risk.'

Critically assess the validity of the Capital Asset Pricing Model and its use as a benchmark for project appraisals.

1. Which of the following is true?

The corporation model can be used to value divisions and firms that do not pay dividends.
The discounted dividend model can be used to value divisions and firms that do not pay dividends.
For the discounted dividend model, a firm's weighted average cost of capital is used as the discount rate.
For the corporate valuation model, a firm's cost of equity is used as the discount rate.

Question 2.2. Which of the following is false?

For the constant growth model to hold, a firm's cost of equity needs to be smaller than its constant dividend growth rate (i.e., rs < g).
For the constant growth model to hold, a firm's cost of equity needs to be greater than its constant dividend growth rate (i.e., rs > g).
From the constant growth model, if the constant dividend growth rate is equal to zero, a firm's share price is equal to the constant dividend divided by the cost of equity (i.e., g=0).
If a company's constant dividend growth rate is negative, the formula for the constant growth model cannot be applied.

Question 3.3. From the discussion of a firm's capital budgeting problem in chapter 11, which of the following is false? (Points : 3.5)

The net present value method (NPV) assumes that cash flows are reinvested at the weighted average cost of capital (WACC).
The internal rate of return method (IRR) assumes that cash flows are reinvested at the internal rate of return.
The modified internal rate of return method (MIRR) assumes that cash flows are reinvested at the weighted average cost of cpaital.
For mutually exclusive projects, if there is a conflict between NPV and IRR, the project with the highest IRR is chosen.
The IRR is independent of a firm's weighted average cost of capital.

Question 4.4. Which of the following is true? (

As a firm's dividend payout ratio increases, the firm's WACC decreases.
The WACC only represents the "hurdle rate" for a typical project with average risk. Therefore, the project's WACC should be adjusted to reflect the project's risk.
Firms with riskier projects generally have a lower WACC.
Holding all else constant, an increase in the target debt ratio tends to lower the WACC.

Question 5.5. Which of the following is false?

If interest rates rise, the price of the bond will rise and its YTM (yield to maturity) will fall.
Short-term bond prices are less sensitive than long-term bond prices to interest rate changes.
Companies are not likely to call bonds unless interest rates have declined significantly. Thus, the call provision is valuable to firms but detrimental to long term investors.
On balance, bonds that have a sinking fund are regarded as being safer than those without such a provision.

Question 6.6. Which of the following is not true? (Points : 3.5)

According to SML (security market line), the risk premium on a high-beta stock would increase more than that on a low-beta stock.
If beta < 1.0, the security is less risky than average.
According to the Security Market Line (SML), in general, a companyâs expected return will double when its beta doubles.
According to the Security Market Line (SML), if a portfolio of real world stocks has a beta of zero, the required rate of return for the portfolio is equal to the risk-free rate.

Question 7.7. P&G Industries bonds have a maturity of 15 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 10 years at $1,125, and currently sell at a price of $1,105. What is their nominal annual yield to call?

6.87%.
7.37%.
11.05%.
8.32%.

Question 8.8. Which of the following is not the flaw (weakness) of the discounted payback method? (Points : 3.5)

It does not tells us by how much the project should increase shareholder wealth, or by how much a project yields over the cost of capital; it merely tells us when we recover our investment.
It ignores cash flows occurring after the payback period.
It ignores the time value of money, that is, dollars received in different years are all given the same weight.

Question 9.9. Jermey Lin has $52,500 invested a stock with a beta of 0.80 and another $47,500 invested in a stock with a beta of 3.2. If these are the only two investments in his portfolio, what is his portfolio's beta?

1.56.
1.82.
2.00.
1.94

Question 10.10. According to CAPM, if the required rate of the return of Stock A obtained from the security market line (SML) is less than the expected rate of the return of stock A from the capital market transaction, then stock A is

fairly priced.
undervalued.
overvalued.

Question 11.11. Determine the yield-to-call (to nearest 0.1 of a percent) of an LTV bond with a 12 percent coupon, that pays interest annually. The bond can be called in 5 years, has a call premium of $114, and is currently selling for $912.50. The bond has a face value of $1,000.

14.58%.
13.92%.
16.34%.
12.17%.

Question 12.12. Project M costs $1,000, its expected cash inflows are $500 per year for 3 years, and its WACC is 11%. What is the project's NPV? (Points : 3.5)

$259.57.
$221.86.
$195.23.
$257.35.

Question 13.13. Project J costs $1,025, its expected cash inflows are $425 per year for 3 years, and its WACC is 10%. What is the project's IRR?

12.58%.
10.82%.
11.76%.
9.64%.

Question 14.14. Project X costs $6,750, its expected cash inflows are $1250 per year for 10 years, and its WACC is 10%. What is the project's payback?(Note, the regular payback is asked in this question, not the discounted payback.) (Points : 3.5)

5.40 years.
10 years.
4.58 years.
6.12 years.

Question 15.15. Project S costs $800, its expected cash inflows are $350 per year for 3 years, and its WACC is 7%. What is the project's MIRR?

13.97%.
12.04%.
14.93%.
9.15%.

Question 16.16. Project Y costs $650, its expected cash inflows are $500 per year for 5 years, and its WACC is 10%. What is the project's discounted payback?

1.47 years.
1.24 years.
1.62 years.
1.15 years.

1. Which of the following is true?

The corporation model can be used to value divisions and firms that do not pay dividends.
The discounted dividend model can be used to value divisions and firms that do not pay dividends.
For the discounted dividend model, a firm's weighted average cost of capital is used as the discount rate.
For the corporate valuation model, a firm's cost of equity is used as the discount rate.

Question 2.2. Which of the following is false?

For the constant growth model to hold, a firm's cost of equity needs to be smaller than its constant dividend growth rate (i.e., rs < g).
For the constant growth model to hold, a firm's cost of equity needs to be greater than its constant dividend growth rate (i.e., rs > g).
From the constant growth model, if the constant dividend growth rate is equal to zero, a firm's share price is equal to the constant dividend divided by the cost of equity (i.e., g=0).
If a company's constant dividend growth rate is negative, the formula for the constant growth model cannot be applied.

Question 3.3. From the discussion of a firm's capital budgeting problem in chapter 11, which of the following is false?

The net present value method (NPV) assumes that cash flows are reinvested at the weighted average cost of capital (WACC).
The internal rate of return method (IRR) assumes that cash flows are reinvested at the internal rate of return.
The modified internal rate of return method (MIRR) assumes that cash flows are reinvested at the weighted average cost of cpaital.
For mutually exclusive projects, if there is a conflict between NPV and IRR, the project with the highest IRR is chosen.
The IRR is independent of a firm's weighted average cost of capital.

Question 4.4. Which of the following is true? (Points : 3.5)

As a firm's dividend payout ratio increases, the firm's WACC decreases.
The WACC only represents the "hurdle rate" for a typical project with average risk. Therefore, the project's WACC should be adjusted to reflect the project's risk.
Firms with riskier projects generally have a lower WACC.
Holding all else constant, an increase in the target debt ratio tends to lower the WACC.

Question 5.5. Which of the following is false? (Points : 3.5)

If interest rates rise, the price of the bond will rise and its YTM (yield to maturity) will fall.
Short-term bond prices are less sensitive than long-term bond prices to interest rate changes.
Companies are not likely to call bonds unless interest rates have declined significantly. Thus, the call provision is valuable to firms but detrimental to long term investors.
On balance, bonds that have a sinking fund are regarded as being safer than those without such a provision.

Question 6.6. Which of the following is not true? (Points : 3.5)

According to SML (security market line), the risk premium on a high-beta stock would increase more than that on a low-beta stock.
If beta < 1.0, the security is less risky than average.
According to the Security Market Line (SML), in general, a companyâs expected return will double when its beta doubles.
According to the Security Market Line (SML), if a portfolio of real world stocks has a beta of zero, the required rate of return for the portfolio is equal to the risk-free rate.

Question 7.7. P&G Industries bonds have a maturity of 15 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 10 years at $1,125, and currently sell at a price of $1,105. What is their nominal annual yield to call? (Points : 3.5)

6.87%.
7.37%.
11.05%.
8.32%.

Question 8.8. Which of the following is not the flaw (weakness) of the discounted payback method? (Points : 3.5)

It does not tells us by how much the project should increase shareholder wealth, or by how much a project yields over the cost of capital; it merely tells us when we recover our investment.
It ignores cash flows occurring after the payback period.
It ignores the time value of money, that is, dollars received in different years are all given the same weight.

Question 9.9. Jermey Lin has $52,500 invested a stock with a beta of 0.80 and another $47,500 invested in a stock with a beta of 3.2. If these are the only two investments in his portfolio, what is his portfolio's beta? (Points : 3.5)

1.56.
1.82.
2.00.
1.94

Question 10.10. According to CAPM, if the required rate of the return of Stock A obtained from the security market line (SML) is less than the expected rate of the return of stock A from the capital market transaction, then stock A is (

fairly priced.
undervalued.
overvalued.

Question 11.11. Determine the yield-to-call (to nearest 0.1 of a percent) of an LTV bond with a 12 percent coupon, that pays interest annually. The bond can be called in 5 years, has a call premium of $114, and is currently selling for $912.50. The bond has a face value of $1,000. (Points : 3.5)

14.58%.
13.92%.
16.34%.
12.17%.

Question 12.12. Project M costs $1,000, its expected cash inflows are $500 per year for 3 years, and its WACC is 11%. What is the project's NPV?

$259.57.
$221.86.
$195.23.
$257.35.

Question 13.13. Project J costs $1,025, its expected cash inflows are $425 per year for 3 years, and its WACC is 10%. What is the project's IRR? (

12.58%.
10.82%.
11.76%.
9.64%.

Question 14.14. Project X costs $6,750, its expected cash inflows are $1250 per year for 10 years, and its WACC is 10%. What is the project's payback?(Note, the regular payback is asked in this question, not the discounted payback.) (Points : 3.5)

5.40 years.
10 years.
4.58 years.
6.12 years.

Question 15.15. Project S costs $800, its expected cash inflows are $350 per year for 3 years, and its WACC is 7%. What is the project's MIRR? (

13.97%.
12.04%.
14.93%.
9.15%.

Question 16.16. Project Y costs $650, its expected cash inflows are $500 per year for 5 years, and its WACC is 10%. What is the project's discounted payback?

1.47 years.
1.24 years.
1.62 years.
1.15 years.