Question

Q1) There is a 23.70% probability of a below average economy and a 76.30% probability of...

Q1) There is a 23.70% probability of a below average economy and a 76.30% probability of an average economy. If there is a below average economy stocks A and B will have returns of -8.00% and 4.90%, respectively. If there is an average economy stocks A and B will have returns of 13.60% and -4.10%, respectively. Compute the standard deviation for stock a and b.

Homework Answers

Answer #1

Expected return = sum of probability * return

standard deviation = [ sum of probability * ( return - expected return )^2 ] ^0.5

Calculation of mean & variance for A
Economy Return (x) Probability (P) Px x - mean (x - mean)^2 P(x - mean)^2
Below Average -8 0.237 -1.896 -16.4808 272 64.37
Average 13.6 0.763 10.377 5.1192 26 20.00
Mean 8.481 Variance 84.36851136

Standard deviation = 84.37^0.5 = 9.19%

Calculation of mean & variance for B
Economy Return (x) Probability (P) Px x - mean (x - mean)^2 P(x - mean)^2
Below Average 4.9 0.237 1.161 6.867 47 11.18
Average -4.1 0.763 -3.128 -2.133 5 3.47
Mean -1.97 Variance 14.647311

Standard deviation = 14.65^0.5 = 3.83%

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
There is a 28.50% probability of a below average economy and a 71.50% probability of an...
There is a 28.50% probability of a below average economy and a 71.50% probability of an average economy. If there is a below average economy stocks A and B will have returns of 4.90% and 19.90%, respectively. If there is an average economy stocks A and B will have returns of 6.50% and 2.80%, respectively. Compute the: a) Expected Return for Stock A: b) Expected Return for Stock B : c) Standard Deviation for Stock A: d) Standard Deviation for...
There is a 43.60% probability of a below average economy and a 56.40% probability of an...
There is a 43.60% probability of a below average economy and a 56.40% probability of an average economy. If there is a below average economy stocks A and B will have returns of -7.30% and 4.70%, respectively. If there is an average economy stocks A and B will have returns of 10.20% and 2.50%, respectively. Compute the:         a) Expected Return for Stock A         b) Expected Return for Stock B         c) Standard Deviation for Stock A           d)...
There is a 30% probability of a below average economy and a 70% probability of an...
There is a 30% probability of a below average economy and a 70% probability of an average economy. If there is a below average economy stocks A and B will have returns of -3% and -4%, respectively. If there is an average economy stocks A and B will have returns of 6% and 18%, respectively. Calculate the expected returns and standard deviations of stocks A and B. Stock A Expected Return (4 decimals):   Stock B Expected Return (4 decimals):   Stock...
Q9) There is a 17.35% probability of a below-average economy and a 82.65% probability of an...
Q9) There is a 17.35% probability of a below-average economy and a 82.65% probability of an average economy. If there is a below-average economy, Stocks A and B will have returns of 4.72% and -0.32% , respectively. If there is an average economy, Stocks A and B will have returns of 19.50% and 4.46%, respectively. Compute the Standard deviation for stocks a and b.
There is a 40.50% probability of a below average economy and a 59.50% probability of an...
There is a 40.50% probability of a below average economy and a 59.50% probability of an average economy. If there is a below average economy stocks A and B will have returns of -0.10% and 11.30%, respectively. If there is an average economy stocks A and B will have returns of 15.80% and -1.00%, respectively. Compute the:         a) Expected Return for Stock A: b) Expected Return for Stock B: c) Standard Dev for Stock A: d) Standard Dev for...
Q2) There is a 10.80% probability of an average economy and a 89.20% probability of an...
Q2) There is a 10.80% probability of an average economy and a 89.20% probability of an above average economy. You invest 38.10% of your money in Stock S and 61.90% of your money in Stock T. In an average economy the expected returns for Stock S and Stock T are 6.50% and 9.30%, respectively. In an above average economy the the expected returns for Stock S and T are 35.50% and 13.40%, respectively. What is the expected return for this...
Stock A has the following returns for various states of the economy: State of Economy Probability...
Stock A has the following returns for various states of the economy: State of Economy Probability Stock A's Return Recession 5% -50% Below average 25% -3% Average 35% 10% Above average 20% 20% Boom 15% 45% Stock A's standard deviation of returns is _______    20.62%    4.25%    6.47%    11%
Stocks X and Y have the following probability distributions of expected future returns: a. Calculate the...
Stocks X and Y have the following probability distributions of expected future returns: a. Calculate the expected rate of return for Stock X and Y respectively. b. Calculate the standard deviation of expected returns for X and Y respectively. c. What are the CV for both X and Y respectively? Probability X Y Week 0.1 -10% -35% Below Ave 0.2 2% 0 Average 0.4 12% 20% Above Ave 0.2 20% 25% Strong 0.1 38% 45% Expected Return Standard Deviation CV
Based on the following information: State of Economy Probability of State of Economy Return on Stock...
Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.010 .044 Normal .55 .148 .072 Bull .25 .228 .102 A.  Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return: Stock J Stock K B. Calculate the standard deviation for each of the stocks. (Do not round...
Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A...
Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom 0.30 50.0% 12.0% 20.0% Average 0.45 15.0% -5.0% 6.0% Recession 0.25 -8.0% 2.0% -3.2% Your portfolio manager has invested 30% of your money in Stock A, 50% in Stock B, and the rest in Stock C. 1. What is the correlation coefficient between Stocks B and C? 2. What is the standard deviation of your portfolio? Hint: Instead of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT