The portfolio standard deviation will always be less than the standard deviation of any asset in the portfolio.
Showing posts with label standard deviation. Show all posts
Showing posts with label standard deviation. Show all posts
Thursday, July 8, 2021
The standard deviation of returns on Warchester stock is 20% and on Shoesbury stock it is 16%
The standard deviation of returns on Warchester stock is 20% and on Shoesbury stock it is 16%. The coefficient of correlation between the stocks is .75. The standard deviation of any portfolio combining the two stocks will be less than 20%.
Answer: TRUE
Answer: FALSE
When assets are positively correlated, they tend to rise or fall together.
Answer: TRUE
The standard deviation of a portfolio is always just the weighted average of the standard deviations of assets in the portfolio.
Answer: FALSE
A correlation coefficient of +1 indicates that returns on one asset can be exactly predicted from the returns on another asset.
Answer: TRUE
Adequate portfolio diversification can be achieved by investing in several companies in the same industry.
Answer: FALSE
A portfolio will always have less risk than the riskiest asset in it if the correlation of assets is less than perfectly positive.
Answer: TRUE
Most financial assets have correlation coefficients between 0 and 1.
Answer: TRUE
Portfolio returns can be calculated as the geometric mean of the returns on the individual assets in the portfolio.
Answer: FALSE
When constructing a portfolio, it is a good idea to put all your eggs in one basket, then watch the basket closely.
Answer: FALSE
A portfolio containing a mix of stocks, bonds, and real estate is likely to be more diversified than a portfolio made up of only one asset class.
Answer: TRUE
An asset with a large standard deviation of returns can lower portfolio risk if its returns are uncorrelated with the returns on the other assets in the portfolio.
Answer: TRUE
The greater the dispersion of possible returns, the riskier is the investment.
Answer: TRUE
For the most part, there has been a positive relation between risk and return historically.
Answer: TRUE
The benefit from diversification is far greater when the diversification occurs across asset types.
Answer: TRUE
Investing in foreign stocks is one way to improve diversification of a portfolio.
Answer: TRUE
The expected return on MSFT next year is 12% with a standard deviation of 20%. The expected return on AAPL
The expected return on MSFT next year is 12% with a standard deviation of 20%. The expected return on AAPL next year is 24% with a standard deviation of 30%. The correlation between the two stocks is .6. If James makes equal investments in MSFT and AAPL, what is the expected return on his portfolio.
A) 21.45%
B) 25.00%
C) 4.60%
D) 15.00%
Use the following information, which describes the possible outcomes from investing in a particular asset, to answer the following question(s).
State of the Economy Probability of the States Percentage Returns
Economic recession 25% 5%
Moderate economic growth 55% 10%
Strong economic growth 20% 13%
9) The expected return from investing in the asset is
A) 9.00%.
B) 9.35%.
C) 10.00%.
D) 10.55%.
10) The standard deviation of returns is
A) 8.00%.
B) 7.63%.
C) 4.68%.
D) 2.76%.
The expected return on MSFT next year is 12% with a standard deviation of 20%. The expected return on AAPL next year is 24% with a standard deviation of 30%. If James makes equal investments in MSFT and AAPL, what is the expected return on his portfolio.
A) 20%
B) 16%
C) 18%
D) 25%
Wednesday, July 7, 2021
Using the following information for McDonovan, Inc.'s stock, calculate their expected return and standard deviation.
Using the following information for McDonovan, Inc.'s stock, calculate their expected return and standard deviation.
State Probability Return
Boom 20% 40%
Normal 60% 15%
Recession 20% (20%)
Answer:
Ki =
= (.20)(40%) + (.60)(15%) + (.20)(-20%)

= 8% + 9% - 4% = 13%
σi = (
).

σi = ((40% - 13%)2(.2) + (15% - 13%)2 (.6) + (-20% - 13%)2 (.2)). = 19.13%
The cash return on an investment is calculated as purchase price-selling price.
Answer: FALSE
Because returns are more certain for the least risky investments, the required return on these investments should be higher than the required returns on more risky investments.
Answer: FALSE
Even though an investor expects a positive rate of return, it is possible that the actual return will be negative.
Answer: TRUE
The expected rate of return is the weighted average of the possible returns for an investment.
Answer: TRUE
The expected rate of return is the sum of each possible return times it likelihood of occurrence.
Answer: TRUE
The higher the standard deviation, the less risk the investment has.
Answer: FALSE
Spartan Sofas, Inc. is selling for $50.00 per share today. In one year, Spartan will be selling for $48.00 per share
Spartan Sofas, Inc. is selling for $50.00 per share today. In one year, Spartan will be selling for $48.00 per share, and the dividend for the year will be $3.00. What is the cash return on Spartan stock?
A) $51.00
B) $1.00
C) $2.00
D) $3.00
What is the standard deviation of an investment that has the following expected scenario? 18% probability of a recession, 2.0% return; 65% probability of a moderate economy, 9.5% return; 17% probability of a strong economy, 14.2% return.
A) 3.68%
B) 1.23%
C) 8.47%
D) 6.66%
You are considering investing in a firm that has the following possible outcomes:
Economic boom: probability of 25%; return of 25%
Economic growth: probability of 60%; return of 15%
Economic decline: probability of 15%; return of -5%
What is the expected rate of return on the investment?
A) 15.0%
B) 11.7%
C) 14.5%
D) 25.0%
Which of the following best measures an asset's risk?
A) Expected return
B) The standard deviation
C) The probability distribution
D) The cash return
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