36) Based on the information provided below, estimate the correlation coefficient of returns between the two securities. Returns for Securities KLM and GDF (%) Scenario 1 Scenario 2 Probability of the 1st scenario KLM 4 1 0.4 GDF 12 8 0.2
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36)
Based on the information provided below, estimate the correlation coefficient of returns between the two securities.
Returns for Securities KLM and GDF (%)
| Scenario 1 | Scenario 2 | Probability of the 1st scenario | |
|---|---|---|---|
| KLM | 4 | 1 | 0.4 |
| GDF | 12 | 8 | 0.2 |
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- The covariance of the returns on the two securities, A and B, is -0.005. Thestandard deviation of A's returns is 3% and the standard deviation of B's returns is 5.5%.What is the correlation between the returns of A and B?Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?Consider the following factor model: E[R] - rf = b Mkt (E[RMkt] - rf) + b SMB E[R$MB] + b The term b O size. SMB measures the sensitivity of the securities returns to: book-to-market. momentum. HML E[RHML] the overall market.
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- Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What are the covariance and the correlation coefficient between the two stocks?Below is a table of probabilities and expected returns for 2 securities under 3 possible scenarios: Possible Outcomes Probability Rate of Return Company G Company H Bullish Trend 0.3 50% 25% Normal Trend 0.4 20% 15% Bearish Trend 0.3 (10)% 15% Required: On the basis of Expected Rate of Return, Standard Deviation, Variance and Coefficient of variation decide which of the above companies is best for investment (Single company Risk analysis)Two securities have the following characteristics: Security A Security B Expected return 32% 17% Standard deviation 28% 34% Proportion (Weight) 55% 45% Beta 1.2 0.25 Correlation Coefficient 0.85 Determine the risk (standard deviation) of the portfolio with Securities A and B.
- Consider the following data for two risk factors (1 and 2) and two securities (J and L):λ0 = 0.07 λ1 = 0.04 λ2 = 0.06bJ1 = 0.10 bJ2 = 1.60 bL1 = 1.80 bL2 = 2.45a. Compute the expected returns for both securities. b. Suppose that Security J is currently priced at $50 while the price of Security L is $15.00.Further, it is expected that both securities will pay a dividend of $0.95 during the coming year.What is the expected price of each security one year from now? c. Compute the correlation between stock A and stock B considering the following data.Standard deviation of stock A = 10 percentStandard deviation of stock B = 17 percentCovariance between the two stocks = 90.An investor is evaluating the common share of Bulldogs Inc. which has a beta of 1.8. The expected return for the securities market as a whole is 8%. The risk-free rate on a treasury bill is 2%. Based on the capital asset pricing model, what is the expected risk adjusted return of the Bulldogs Inc.’s common share? (Format: X.XX%)For the above shares if the expected inter correlations are given as follows: Investment in RM millions Weight Correlation Petronas 23 ? 0.15(P,M) Maxis 47 ? 0.25(M,B) Berjaya 40 ? 0.35(B,P) d) Compute Weights e) Compute the expected portfolio return and f) Expected portfolio risk g) Portfolio Sharpe ratio