Question

In: Finance

Consider the following two stocks. Probabilities (pi ) Stock "a" Stock "b" Recession p1= 31% -4%...

Consider the following two stocks.

Probabilities (pi ) Stock "a" Stock "b"
Recession p1= 31% -4% 4%
Normal p2= 26% 7% -4%
Boom p3= 43% 11% 26%

Expected Return

r¯a = 5.31

r¯b = 11.38

Standard Deviation

SDa = 6.44

SDb = 13.05

Question:

Using the correct answers from the previous questions, what is the covariance between the two stocks? Enter your answer rounded to 2 decimal places.

Cov(a, b) = ?

Solutions

Expert Solution

Probability

Stock a

Stock b

Deviation Stock a

Deviation Stock b

Recession

31%

                                   (4.00)

                                           4.00

                                 (9.31)

                    (7.38)

Normal

26%

                                     7.00

                                         (4.00)

                                   1.69

                 (15.38)

Boom

43%

                                   11.00

                                         26.00

                                   5.69

                    14.62

Covariance between Stock a and Stock b = Σ P*Deviation Stock a*Deviation Stock b

= 31%*(-9.31)*(-7.38)+26%*1.69*(-15.38)+43%*5.69*14.62

= 50.31


Related Solutions

Consider a stock market with two stocks A and B. Stock A always sells for $5...
Consider a stock market with two stocks A and B. Stock A always sells for $5 or $10; stock B always sells for $6 or $12. If stock A is selling for $5 today, there is a 75% chance it will sell for $5 tomorrow. If stock A is selling for $10 today, there is a 90% chance it will sell for $10 tomorrow. If stock B is selling for $6 today, there is a 90% chance it will sell...
Consider the following for returns of Stock A and B State of economy Recession Probability 0.20...
Consider the following for returns of Stock A and B State of economy Recession Probability 0.20 Stock A -0.020 Stock B. 0.034 Normal Probability 0.50 Stock A 0.138 Stock B. 0.062 Boom Probability 0.30 Stock A 0.218 Stock B 0.092 The market return is 12% the risk free rate is 5% assuming CAPM holds the market is in equilibrium the forecast E(r)= required E(R) Which stock has more total risk which stock has more systametic risk explain your answers
Consider Stocks A, B, and C. Stock A is currently selling at $13.43. Stock B is...
Consider Stocks A, B, and C. Stock A is currently selling at $13.43. Stock B is currently selling at $25.28. Stock C is currently selling at $10.31. You make the following trades at time 0 (today). a. You sell 3 contracts of puts on Stock A at exercise price of $13.99 and premium of $.91. b. You implement a 1 contract long straddle on Stock B at exercise price of $25.25. The call premium is $1.21 and the put premium...
There are two stocks in the market, Stock A and Stock B . The price of...
There are two stocks in the market, Stock A and Stock B . The price of Stock A today is $85. The price of Stock A next year will be $74 if the economy is in a recession, $97 if the economy is normal, and $107 if the economy is expanding. The probabilities of recession, normal times, and expansion are .30, .50, and .20, respectively. Stock A pays no dividends and has a correlation of .80 with the market portfolio....
There are two stocks in the market, Stock A and Stock B. The price of Stock...
There are two stocks in the market, Stock A and Stock B. The price of Stock A today is $85. The price of Stock A next year will be $74 if the economy is in a recession, $97 if the economy is normal, and $107 if the economy is expanding. The probabilities of recession, normal times, and expansion are .30, .50, and .20, respectively. Stock A pays no dividends and has a correlation of .80 with the market portfolio. Stock...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.3 -4 %...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.3 -4 % 12 % Normal economy 0.4 13 7 Boom 0.3 22 3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? (Enter your answer as a percent rounded to 1 decimal place.) Rate of Return Recession % Normal economy % Boom % b. What are the expected rate...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.3 -4 %...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.3 -4 % 12 % Normal economy 0.4 13 7 Boom 0.3 22 3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? (Enter your answer as a percent rounded to 1 decimal place.) b. What are the expected rate of return and standard deviation of the portfolio? (Do not...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.2 -4 %...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.2 -4 % 15 % Normal economy 0.7 16 11 Boom 0.1 25 3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? (Enter your answer as a percent rounded to 1 decimal place.) b. What are the expected rate of return and standard deviation of the portfolio? (Enter your...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 −4 %...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 −4 % 19 % Normal economy 0.40 20 % 9 % Boom 0.40 26 % 8 % a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? No Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.)
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 −4 %...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 −4 % 19 % Normal economy 0.40 20 % 9 % Boom 0.40 26 % 8 % a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? No Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT