Suppose only four assets A, B, C and F are being traded in the market. Asset В C Return RA RB Rc RF Expected 14% 8% 20% 5% Return Variance of 0.36% 0.09% 2.25% 0% Return An efficient portfolio with an expected return of 7% is formed by A, B, C and F. The weights of A, B, C and F are 16.09%, 1.15%, 3.45% and 79.31%, respectively.
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efficient portfolio
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- Consider a position consisting of a K200,000 investment in Asset A and a K300,000 investment in Asset B. Assume that the daily volatilities of the assets are 1.5% and 1.8% respectively, and that the coefficient of correlation between their returns is 0.4. What is the five day 95% Value at Risk (VaR) for the portfolio (95% confidence level represents 1.65 standard deviations on the left side of a normal distribution)?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 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%?You invest $1,028 portfolio holding a risky asset and a Treasury bill. You expect the portfolio to reach a value of $1,105 in 1 year. Expected Return of Risky Asset: 27% Standard Deviation of Risky Assets: 11% Expected Return of Treasury Bill: 3% This is only possible if the weight of the risky asset is ____________________________. *Please round to the nearest two decimals. *Please state your answer as percentage and not as decimal (i.e. 40 and not 0.40) *Please do not use the symbol %Expected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 1. Calculate the expected return and standard deviations of a portfolio of stocks A, B and C. Assume an equal investment in each stock. 2. Compute the Sharpe ratio of a portfolio that has 30% in A, 30% in B and 40% in C. The risk-free interest rate is 4%. 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.
- Portfolio consists of two independent risky assets AA and BB with expected returns 4\%4% and 5\%5% and standard deviations 2\%2% and 6\%6%. Share of asset AA is 60\%60% Standard deviation of the portfolio return is: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,…Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.