1. Snowflake Inc.’s stock can return either -10% or 20% annually with equal probability, and Peloton Inc’s stock can return either -15% or 25% annually with equal probability. The correlation between Snowflake and Peloton’s stock returns is 0. You have $100 to invest, and you decide to build a portfolio P which invests $50 in Snowflake and $50 in Peloton.
a. What is Snowflake’s expected return?
b. What is Snowflake’s standard deviation?
c. What is portfolio P’s expected return?
d. What is portfolio P’s standard deviation? Instead of splitting $100 equally in Snowflake and Peloton, you invest $100 in Snowflake for the first year, and then you sell Snowflake and use the proceeds to invest in Peloton for the second year.
e. What is your expected return after two years?
f. What is the standard deviation of your return after two years?
Snowflake Inc.’s stock can return either -10% or 20% annually with equal probability, and Peloton Inc’s stock can return either -15% or 25% annually with equal probability. The correlation between Snowflake and Peloton’s stock returns is 0. You have $100
Returns for Stocks A and Stock B have the following distribution: Probability Rate of Return Stock A Rate of Return Stock B 0.20 +16% -10% 0.30 +10% -6% 0.50 -30% +40% a) What is the Expected Return for Stock A? b) What is the Standard Deviation for Stock A? c) What is the Expected Return for Stock B? d) What is the Standard Deviation for Stock B? e) What is the Expected Return for a Portfolio with an equal 50%...
The risk-free rate is 0%. The market portfolio has an expected return of 20% and a volatility of 20%. You have $100 to invest. You decide to build a portfolio P which invests in both the risk-free investment and the market portfolio.a. How much should you invest in the market portfolio and the risk-free investment if you want portfolio P to have an expected return of 40%?b. How much should you invest in the market portfolio and the risk-free investment...
Stock return r_stock is either +2500% or -100% with equal probabilities. Find: E[r_stock] = Var[r_stock] = std_stock= Is such stock attractive? Would you like to invest everything in this stock? What is the probability to survive after 2 periods of investing ALL your wealth into it? How should one approach instruments like that?
Suppose that in 2019 the Federal Reserve Bank can take three actions with equal probability: 1) not increasing short-term interest; 2) increasing short-term interest rate moderately; 3) increasing short-term interest rate aggressively. Further assume that the returns on the stock market will be 10%, 8%, and 3% respectively in these three scenarios, and the returns on the bond market will be 4%, 6%, and 8% in these three scenarios. Suppose that you can only invest in either the stock market...
letter b please You have estimated the following probability distribution of returns for two stocks: Stock N Stock O Probability 0.20 0.30 Return 8% Probability 0.20 0.30 0.30 Return 26% 12 0.30 0.20 -4 0.20 -4 Calculate the expected rate of return and standard deviation for cach stock If the correlation between the returns on the two stocks is -0.40, calculate the portfolio returm and the standard deviation for portfolios containing 100%, 75 % , 50 % , 25 %...
Outcome Probability .10 .20 UAWN Stock W +2% +18% +9% -12% +8% Stock X +25% +10% +14% +3% -10% .10 a. What is the expected return for each stock? b. What is the standard deviation for each stock? c. What is the correlation between the stocks? d. If you hold a portfolio of the stocks that is weighted 60% W, and 40% X, what is the expected return and standard deviation for the portfolio? e. Assume that Stock X is...
3. You have a risky portfolio that yields an expected rate of return of 15% with a standard deviation of 25%. Draw the CAL for an expected return/standard deviation diagram if the risk free rate is 5%. a. What is the slope of the CAL? b. If your coefficient of risk aversion is 5, how much should you invest in the risky portfolio? 4. A pension fund manager is considering three mutual funds. The first is a stock fund, the...
20. You have been given this probability distribution for the return of Apple (AAPL). Probability Rate of Return 0.5 30% 0.5 10% a. What are the expected return and the standard deviation of AAPL? (7 points) b. Suppose the expected return and standard deviation of Amazon (AMZN) is 10% and 5%. The correlation between AAPL and AMZN is 0.71. And the optimal risky portfolio, P*, comprising of AAPL and AMZN, is investing 50% in each. What is the optimal risky...
15% 0% TU) You are given Tollowing intornation: Market Scenario Probability cp) Stock A's Returns Stock B's Returns Market Index Returns 25% 0% 10.2 18% 10% 0.3 10% 8% 10.2 112% 10% 0.2 16% -4% Additional information: Standard Deviation: Stock A =10.67%; Stock B - 5%; Market Index - 6.02% Covariances: Cov(Stock A & Market Index) - 64.15 or 0.006415; Cov(Stock B & Market Index) = 30 or 0.003000; Cov(Stock A & Stock B) = -53.20 or -0.005320; Prote=27 a)...
1. Compute the expected return for a company that will be traded at $100, $120, and $140 next period with probabilities 20%, 40%, and 40%, respectively. The price of that company today is $110. 2. Compute the correlation between assets A and B if you know that the standard deviation of B is 50% of the standard deviation of A and the covariance between the two assets is 0.5 times the variance of asset A. 3. What is the risk...