8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Bonds Stocks Commodities Real Estate Correlation Matrix Bonds Stocks Commodities Real Estate Weight 50% 10% 15% 25% Bonds 1.0 Stocks -0.2 1.0 Expected Return 8% 12% 20% 16% Commodities 0.1 0.4 1.0 Variance (%²) 10 30 15 20 Real Estate 0.3 0.6 0.2 1.0 a. Calculate the expected return and the standard deviation of the return of the portfolio.
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- 8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Weight Expected Return Variance (%2) Bonds 50% 10% 15% 25% 8% 12% 20% 16% 10 30 15 20 0.1 0.3 0.4 0.6 1.0 0.2 1.0 Stocks Commodities Real Estate Correlation Matrix Bonds 1.0 -0.2 1.0 Stocks Commodities Real Estate Bonds Stocks Commodities Real Estate Calculate the standard deviation of the return of the portfolio.In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 20% and 40 securities? A. 0.5% B. 3.16% C. 3.54% D. 12.5% E. 625%Consider a portfolio comprise of three securities in the following proportion and with the indicated securities beta. Security Amount Invested Beta Expected return A 1.5million 1.0 12% B 1million 1.5 13.5% C 2million 0.8 9% Calculate the portfolio’s; Beta Expected return Determine whether this portfolio have more or less systematic risk than an average asset.
- 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 ratioAngela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: A five-year bond pays interest The par value is GHc 1000 and the coupon rate equals seven (7) percent. If the market's required return on the bond is eight (8) percent, at what market price does this sell for? Literature argues that bond prices are inversely related to interest rates leading to different types of bonds issue. Briefly define Par Bonds, Premium Bonds and Discount Cal Bank has a corporate bond that matures in two years but makes semi-annual interest The par…Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: a) Explain what happens to a portfolio's overall risk when securities that are uncorrelated are combined. b) List four steps that go into selecting an optimal portfolio of risky assets.
- Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: a) Expected return and Portfolio variance of Angela's Portfolio b) Portfolio Standard deviation of What happens to the portfolio risk if market conditions reduce the risk of security B by 50%? c) Explain what happens to a portfolio's overall risk when securities that are uncorrelated are combined.Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: 1. Portfolio Standard deviation of What happens to the portfolio risk if market conditions reduce the risk of security B by 50%?Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: a) Expected return b) Portfolio variance of Angela's Portfolio
- Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. Required: Calculate the: a) Expected return and Portfolio variance of Angela's Portfolio b) Portfolio Standard deviation of What happens to the portfolio risk if market conditions reduce the risk of security B by 50%?Angela’s portfolio holds security A, which returned 12.0%, security B, which returned 15.0% and security C, which returned -5.0%. At the beginning of the year 45% was invested in security A, 25.0% in security B and the remaining 30% was invested in security C. The correlation between AB is 0.75, between AC 0.35, and between BC -0.5. Securities A's standard deviation is 12%, security B's standard deviations is 15% and security C's is 10%. a) A five-year bond pays interest The par value is GHc 1000 and the coupon rate equals seven (7) percent. If the market's required return on the bond is eight (8) percent, at what market price does this sell for? Literature argues that bond prices are inversely related to interest rates leading to different types of bonds issue. Briefly define Par Bonds, Premium Bonds and Discount Bonds. b) Cal Bank has a corporate bond that matures in two years but makes semi-annual interest The par value is GHc 1000,…In-class Example 4: Portfolio Risk Return Suppose that a portfolio of stocks has an expected return E(rS) = 12% and a standard deviation of returns sS = 20%. A portfolio of corporate bonds has an expected return E(rB) = 6% and a standard deviation sB = 9%. a) What is the expected portfolio return and portfolio standard deviation for an equally weighted combination of the stock and bond portfolio if the correlation between stock and bond portfolio returns, rSB, is -0.5? b) Suppose you require a portfolio expected return of 15% per year. What weights must you assign to the stock and bond portfolios to achieve this expected return? What is the standard deviation of returns for this combination portfolio if the correlation between stock and bond returns is -0.5? C) Suppose that the standard deviation of the market (sM) is 15% and the correlation between the stock portfolio and the market is 0.7. What is the beta of the stock portfolio?
