Question

In: Statistics and Probability

Suppose that you want to create a portfolio that consists of stock X and stock Y....

Suppose that you want to create a portfolio that consists of stock X and stock Y. For a​ $1,000 investment, the expected return for stock X is $ 71 and the expected return for stock Y is $ 102. The variance for stock X is 2,700 and the variance for stock Y is 8,625. The covariance of stock X and stock Y is 5,976.

Complete parts​ (a) through​ (c).

a.) Compute the portfolio expected return and portfolio risk if the percentage invested in stock X is 30 %.

b.) Compute the portfolio expected return and portfolio risk if the percentage invested in stock X is 50 %.

c.)Compute the portfolio expected return and portfolio risk if the percentage invested in stock X is 80 %.

Solutions

Expert Solution


Related Solutions

Suppose that you want to create a portfolio that consists of a corporate bond​ fund, X,...
Suppose that you want to create a portfolio that consists of a corporate bond​ fund, X, and a common stock​ fund, Y. For a​ $1,000 investment, the expected return for X is $75 and the expected return for Y is $ 90 The variance for X is 1,725 and the variance for Y is 12,225. The covariance of X and Y is 4,583. a. The portfolio risk is ​$ b. Compute the portfolio expected return and portfolio risk if you...
A portfolio consists of 50% invested in Stock X and 50% invested in Stock Y. We...
A portfolio consists of 50% invested in Stock X and 50% invested in Stock Y. We expect two probable states to occur in the future: boom or normal. The probability of each state and the return of each stock in each state are presented in the table below. State Probability of state Return on Stock X Return on Stock Y Boom 20% 25% 35% Normal 80% 10% 5% What are the expected portfolio return and standard deviation? Select one: a....
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not...
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not decided on the weights. Jane wishes to construct her portfolio with Stock Y and Z, also undecided on the weights. Stock X Stock Y Stock Z Expected Return 0.06 0.18 0.12 Standard Deviation 0.10 0.30 0.20 Covariance between X and Y -0.027 Covariance between Y and Z 0.054 Compute the correlation coefficients for John's and Jane's portfolios. Which person has a greater chance to...
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not...
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not decided on the weights. Jane wishes to construct her portfolio with Stock Y and Z, also undecided on the weights. Stock X Stock Y Stock Z Expected Return 0.06 0.18 0.12 Standard Deviation 0.10 0.30 0.20 Covariance between X and Y -0.027 Covariance between Y and Z 0.054 (4 points) Compute the correlation coefficients for John's and Jane's portfolios. (3 points) Which person has...
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not...
Suppose John wishes to construct his portfolio with Stock X and Y, but he is not decided on the weights. Jane wishes to construct her portfolio with Stock Y and Z, also undecided on the weights. Stock X Stock Y Stock Z Expected Return 0.06 0.18 0.12 Standard Deviation 0.10 0.30 0.20 Covariance between X and Y -0.027 Covariance between Y and Z 0.054 (4 points) Compute the correlation coefficients for John's and Jane's portfolios. (3 points) Which person has...
Tim sets up a portfolio of two stocks: stock X and stock Y. Heplans to...
Tim sets up a portfolio of two stocks: stock X and stock Y. He plans to put 40% of the funding in Stock X, and the rest in Stock Y. If Stock X’s return is 15%, whereas stock Y’s return is 22%, Calculate his portfolio return (rp). (you MUST show your work to earn ANY credit)
Your portfolio contains Stocks X and Y with the following dollaramount of investments: Stock X...
Your portfolio contains Stocks X and Y with the following dollar amount of investments: Stock X Y Investment $5,000 $15,000 The portfolio has a beta of 1.2. If you add Stock Z into your portfolio with an investment of $10,000, what is the beta of your new portfolio if Stock Z has a beta equal to 3?
Analyzing a Portfolio You have $100,000 to invest in a portfolio containing Stock X and Stock...
Analyzing a Portfolio You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 12.7 percent. If Stock X has an expected return of 11.4 percent and a beta of 1.25 and Stock Y has an expected return of 8.68 percent and a beta of .85, how much money will you invest in Stock Y? How do you interpret your answer? What is the...
please no excel usage Assume you create a portfolio that consists of a long position in...
please no excel usage Assume you create a portfolio that consists of a long position in two 3-month European call options and a short position in one 3-month European put option on euros. Both the call and the put options have 125,000 euros attached. The strike price for the call and put options is $1.1 and $1.2, respectively. The call and put premiums are $.02 and $.05, respectively.Calculate the profit/loss (in terms of USD) on your portfolio if the spot...
You want to create a portfolio equally as risky as the market,and you have $1,000,000...
You want to create a portfolio equally as risky as the market, and you have $1,000,000 to invest. Given this information, fill in the rest of the following table:AssetInvestmentBetaStock A180,0000.85Stock B290,0001.40Stock C1.45Risk free-rate
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT