FIN 300 Lecture Notes - Lecture 10: Systematic Risk, Risk Premium, Weighted Arithmetic Mean
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1. You own a stock portfolio invested 15 percent in Stock Q, 20 percent in Stock R, 35 percent in Stock S, and 30 percent in Stock T. The betas for these four stocks are 1.1, 0.8, 1.2, and 0.9, respectively. What is the portfolio beta? (Round your answer to 3 decimal places.)
2. You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.95, and the total portfolio is exactly as risky as the market, what must the beta be for the other stock in your portfolio? (Round your answer to 2 decimal places.) |
Beta |
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3. A share of stock sells for $38 today. The beta of the stock is 1, and the expected return on the market is 17 percent. The stock is expected to pay a dividend of $1.10 in one year. If the risk-free rate is 3.7 percent, what should the share price be in one year? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) |
Share price | $ |
4. A stock has a beta of 0.7 and an expected return of 9 percent. A risk-free asset currently earns 4 percent. |
a. | What is the expected return on a portfolio that is equally invested in the two assets? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) |
Expected return | % |
b. | If a portfolio of the two assets has a beta of 0.6, what are the portfolio weights?(Round your answers to 2 decimal places. Omit the "%" sign in your response.) |
Weight | |
xS | % |
xrf | % |
c. | If a portfolio of the two assets has an expected return of 8 percent, what is its beta? (Round your answer to 2 decimal places.) |
Beta |
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d. | If a portfolio of the two assets has a beta of 2.80, what are the portfolio weights? (Negative amounts should be indicated by a minus sign. Omit the "%" sign in your response.) |
Weight | |
xS | % |
xrf | % |
5. Asset W has an expected return of 8 percent and a beta of 2. If the risk-free rate is 5.5 percent, what is the market risk premium? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) |
Market risk premium | % |
6. Stock Y has a beta of 1.5 and an expected return of 12 percent. Stock Z has a beta of 0.8 and an expected return of 8 percent. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) |
Risk-free rate | % |
PLEASE SHOWING WORKING!!!
Compute the expected return of a portfolio given these three economic states, their likelihoods, and the potential returns:
Economic State Probability Return
Fast Growth 20.00% 30.00%
Slow Growth 50.00% 6.00%
Recession 30.00% -2.00%
Answer
| | 8.40% |
| | 11.33% |
| | 12.65% |
| | 15.47% |
Compute the standard deviation of a portfolio given these three economic states, their likelihoods, and the potential returns:
Economic State Probability Return
Fast Growth 20.00% 30.00%
Slow Growth 50.00% 6.00%
Recession 30.00% -2.00%
Answer
| | 1.28% | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| | 4.36% | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| | 7.82% | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| | 11.34% Year-to-date, Company O had earned -2.10% return. During the same time period Company V earned 8.00% and Company M earned 6.25%. If you have a portfolio made up of 40.00% Company O, 30.00% Company V, and 30.00% Company M, what is the overall portfolio return? Answer
|
Compute the expected return of a portfolio given these three economic states, their likelihoods, and the potential returns:
Economic State Probability Return
Fast Growth 20.00% 30.00%
Slow Growth 50.00% 6.00%
Recession 30.00% -2.00%
Answer
| | 8.40% |
| | 11.33% |
| | 12.65% |
| | 15.47% |
Compute the standard deviation of a portfolio given these three economic states, their likelihoods, and the potential returns:
Economic State Probability Return
Fast Growth 20.00% 30.00%
Slow Growth 50.00% 6.00%
Recession 30.00% -2.00%
Answer
| | 1.28% |
| | 4.36% |
| | 7.82% |
| | 11.34% |
Year-to-date, Company O had earned -2.10% return. During the same time period Company V earned 8.00% and Company M earned 6.25%. If you have a portfolio made up of 40.00% Company O, 30.00% Company V, and 30.00% Company M, what is the overall portfolio return?
Answer
| | 5.778% |
| | 4.270% |
| | 6.871% |
| | 3.435% |
Risk that CAN BE eliminated through proper diversification is called _____.
Answer
| | market risk |
| | firm-specific risk |
| | systematic risk |
| | non-diversifiable risk |
GIVEN: Spot Rate: 1 X = 1.02 Y
30 Day Forward Rate: 1 X = 1.15 Y
Your currency is "X" and you will be paying 345Y. You would ____ because _____.
Answer
| | pay now; of the irrelevance of payment time |
| | pay now; it will take less "X" |
| | pay in 30 days; it will take less "X" |
The amount of one currency needed to purchase one unit of another currency is the _____.
Answer
| | derivative rate |
| | exchange rate |
| | backwardation rate |
| | over-the-counter rate |
The price of an option is called a(n) _____.
Answer
| | expiration cost |
| | holding cost |
| | premium |
| | proceeds |
When a futures contract expires, the parties usually _____.
Answer
| | have a party when losses are low |
| | take delivery of the contract asset |
| | do a cash settlement |
| | swap off liabilities. |
When a forward contract expires, the parties will _____.
Answer
| | have a party when losses are low |
| | deliver the contract asset |
| | do a cash settlement |
| | swap off liabilities. |
Any asset whose value is derived from the value of some underlying asset is a(n) ____.
Answer
| | derivative |
| | primary capital |
| | spot asset |
| | intermediary asset |
Which of the following is not traded on an exchange?
Answer
| | options |
| | futures |
| | forwards |
| | they are all exchange-traded |
A system under which a country's exchange rates are tied to another currency by government policy is _____.
Answer
| | floating exchange rates |
| | pegged exchange rates |
| | convertible exchange rates |
| | forward rates |
One of the _______ for business with a floating exchange rate system is the _______ planning business activities in an international market.
Answer
| | disadvantages; difficulty of |
| | advantages; easiness of |
| | irrelevant situations; normal |
| | none of the above |
U.S. dollars deposited in foreign banks are called _____ and interest paid on these deposits is normally tied to _____.
Answer
| | non-foreign deposits; FED funds rate |
| | indirect dollars; Discount Funds Rate |
| | Eurodollars; LIBOR |
| | none of the above |
____ is a disadvantage of the gold standard.
Answer
| | Excess currency slowing economic growth |
| | Excess inflation |
| | A non-variable beta |
| | Lack of currency to promote continued economic expansion |
A monetary system in which paper money can be converted directly to gold is a(n) ___.
Answer
| | dollar backed float |
| | gold standard |
| | currency float |
| | Americanized gold standard |
| | none of the above |
Reason(s) for the Great Depression following the Great War include:
Answer
| | trade protectionism |
| | isolationism |
| | nationalism |
| | all of the above |
| | none of the above |
An agreement between the WW II allies in 1944 designed to prevent the problems leading to the Great Depression and WW II and to rebuild Asia and Europe was the _____.
Answer
| | Armistice of 1945 |
| | Bretton Woods Agreement |
| | Lend Lease Act for Asia and Europe |
| | none of the above |
A derivative is used to ____ thereby _____.
Answer
| | float; gaining excess currency for expansion |
| | peg currency; improving trade with a primary partner |
| | hedge; reducing/eliminating risk |
| | none of the above |
Easier business planning is an advantage of the ______ system.
Answer
| | mixed exchange rate |
| | floating exchange rate |
| | derivative exchange rate |
| | gold standard |
| | none of the above |
____ is the chance that some unfavorable event will occur.
Answer
| | Expected return |
| | Risk |
| | Coefficient of variation |
| | Correlation |