A risk-averse investor has an opportunity to invest in the following securities: Security A costs $10...
A risk-averse investor has an opportunity to invest in the following securities: Security A costs $10 today and will have a value of $25 if the market goes up and $0 if the market goes down; Security B costs $8 today and will have a value of $12 if the market goes up and $6 if the market goes down; and Security C costs $5 today and will have a value of $20 if the market goes up and –$20 if the market goes down. If there is a 40 percent chance that the market will go up and the risk-free rate is zero, which security(ies) will the investor prefer?
How to calculate the expected return
the answer is B bc it generates positive expected return , but I don't know how to figure it out whether it is positive or negative
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A risk-averse investor has an opportunity to invest in the
following securities: Security A costs $10...
11. Sophie is a highly risk-averse investor. She wants to invest in the following two stocks:...
11. Sophie is a highly risk-averse investor. She wants to invest in the following two stocks: stock A has expected return of 4% and standard deviation of 40%, stock B has expected return of 12% and standard deviation of 30%. The correlation coefficient between the two stocks is (-1), Sophie's friend advises her to invest 50% in stock A and 50% in stock B. Calculate and explain if you agree or disagree with the advice (7 points).
An investor’s utility function for expected return and risk is U = E(r) − 4σ2. Which of the following would this investor prefer to invest in: A risk-free security offering a return of 8 percent per...
An investor’s utility function for expected return and risk is U = E(r) − 4σ2. Which of the following would this investor prefer to invest in: A risk-free security offering a return of 8 percent per year A risky portfolio with expected return of 14 percent per year and standard deviation of 25 percent per year Select one: a. Risk-free security b. Risky portfolio
You have $98666 to invest in two stocks and the risk-free security. Stock A has an...
You have $98666 to invest in two stocks and the risk-free security. Stock A has an expected return of 11.91 percent and Stock B has an expected return of 10.19 percent. You want to own $26045 of Stock B. The risk-free rate is 3.11 percent and the expected return on the market is 11.3 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the...
An investor has an investment capital of KES. 9,000,000. He wishes to invest in a portfolio...
An investor has an investment capital of KES. 9,000,000. He wishes to invest in a portfolio of two securities, A and B in the following proportion; KES. 4,950,000 in security A and KES. 4,050,000 in security B. The returns on these two securities depend on the state of the economy as shown below: State of Economy Probability Return on Security A Return on security B Expansion 0.4 25% 5% Boom 0.3 20% 10% Recession 0.2 12% 20% Depression 0.1 -20%...
You have $98,483 to invest in two stocks and the risk-free security. Stock A has an...
You have $98,483 to invest in two stocks and the risk-free security. Stock A has an expected return of 10.18 percent and Stock B has an expected return of 11.04 percent. You want to own $25,007 of Stock B. The risk-free rate is 5.16 percent and the expected return on the market is 12.39 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the...
You have $99,445 to invest in two stocks and the risk-free security. Stock A has an...
You have $99,445 to invest in two stocks and the risk-free security. Stock A has an expected return of 13.34 percent and Stock B has an expected return of 11 percent. You want to own $30,372 of Stock B. The risk-free rate is 3.03 percent and the expected return on the market is 10.49 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the...
You have $87,569 to invest in two stocks and the risk-free security. Stock A has an...
You have $87,569 to invest in two stocks and the risk-free security. Stock A has an expected return of 12.38 percent and Stock B has an expected return of 9.36 percent. You want to own $28,905 of Stock B. The risk-free rate is 5.06 percent and the expected return on the market is 12.04 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the...
You have $81,871 to invest in two stocks and the risk-free security. Stock A has an...
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An investor has an opportunity to play a lottery that depends on the outcome of flipping...
An investor has an opportunity to play a lottery that depends on the outcome of flipping two fair coins (i.e. the probability of each outcome is 50%). If both coins come up tails, the lottery payoff is $20. If one coin comes up heads and the other tails, the lottery payoff is $50. If both coins come up heads, the lottery payoff is $100. a. Calculate the probability associated with each payoff. What is the expected value of the lottery?...
Given the following information, which investment(s) would risk-averse investors prefer if the risk-free rate is 5...
Given the following information, which investment(s) would
risk-averse investors prefer if the risk-free rate is 5
percent?
Value of Investment after one year if:
Investment
Cost
Today
Market Return > 0%
Probability: 40%
Market Return < 0%
Probability: 60%
I
$18
$36
$8
II
$14
$12
$16
III
$15
$30
$5
I only
II only
III only
I and II only
11. Sophie is a highly risk-averse investor. She wants to invest in the following two stocks: stock A has expected return of 4% and standard deviation of 40%, stock B has expected return of 12% and standard deviation of 30%. The correlation coefficient between the two stocks is (-1), Sophie's friend advises her to invest 50% in stock A and 50% in stock B. Calculate and explain if you agree or disagree with the advice (7 points).
You have $99,445 to invest in two stocks and the risk-free security. Stock A has an expected return of 13.34 percent and Stock B has an expected return of 11 percent. You want to own $30,372 of Stock B. The risk-free rate is 3.03 percent and the expected return on the market is 10.49 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the...
Given the following information, which investment(s) would
risk-averse investors prefer if the risk-free rate is 5
percent?
Value of Investment after one year if:
Investment
Cost
Today
Market Return > 0%
Probability: 40%
Market Return < 0%
Probability: 60%
I
$18
$36
$8
II
$14
$12
$16
III
$15
$30
$5
I only
II only
III only
I and II only
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