Stanislas Korowski owns a portfolio con- sisting of the following stocks below: Mytab PERCENTAGE OF PORTFOLIO STOCK OR SECURITY ВЕТА EXPECTED RETURN 1 15% 1.05 11% 2. 25% 0.75 7% 3 20% 1.15 13% 4 30% 0.75 9% 10% 1.80 18% The risk-free rate is 4 percent. Also, the expected return on the market portfolio is 12 percent. a. Calculate the expected return of the portfolio. (Hint: The expected return tíolio oguale tho weighted average of the individual stocks' expected
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- Keith holds a portfolio that is invested equally in three stocks (wDwD = wAwA = wIwI = 1/3). Each stock is described in the following table: Stock Beta Standard Deviation Expected Return DET 0.7 25% 8.0% AIL 1.0 38% 10.0% INO 1.6 34% 13.5% An analyst has used market- and firm-specific information to make expected return estimates for each stock. The analyst’s expected return estimates may or may not equal the stocks’ required returns. The risk-free rate [rRFrRF] is 6%, and the market risk premium [RPMRPM] is 4%. Use the following graph with the security market line (SML) to plot each stock’s beta and expected return. (Note: Click on the points on the graph to see their coordinates.) Stock DETStock AILStock INO00.20.40.60.81.01.21.41.61.82.020181614121086420RATE OF RETURN (Percent)RISK (Beta) A stock is in equilibrium if its required return its expected return. In general, assume that markets and stocks are in equilibrium (or fairly valued),…The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: 00.51.01.52.020.016.012.08.04.00REQUIRED RATE OF RETURN (Percent)RISK (Beta)Return on HC's Stock CAPM Elements Value Risk-free rate (rRFrRF) Market risk premium (RPMRPM) Happy Corp. stock’s beta Required rate of return on Happy Corp. stock An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is . Tool tip: Mouse over the points on…Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets. E(Rp) 12.00 % Standard Deviation of P 7.20 % T-Bill rate 3.60 % Proportion of Complete Portfolio in P 80 % Proportion of Complete Portfolio in T-Bills 20 % Composition of P: Stock A 40.00 % Stock B 25.00 % Stock C 35.00 % Total 100.00 % What are the proportions of stocks A, B, and C, respectively, in Bo's complete portfolio? A. 40%, 25%, 35% B. 8%, 5%, 7% C. 20%, 12.5%, 17.5% D. 32%, 20%, 28% E. 16%, 10%, 14%
- 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 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%?Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. For portfolio P with investment proportion of 0.4 in HD and 0.6 in ML, calculate the systematic risk, non-systematic risk, and total risk of P. xx
- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.5% + 0.60RM + eA RB = –1.5% + 0.70RM + eB σM = 19%; R-squareA = 0.24; R-squareB = 0.18 Assume you create a portfolio Q, with investment proportions of 0.40 in a risky portfolio P, 0.35 in the market index, and 0.25 in T-bill. Portfolio P is composed of 70% Stock A and 30% Stock B. What is the covariance between the portfolio and the market index? (Calculate using numbers in decimal form, not percentages. Do not round intermediate calculations. Round your answer to 2 decimal places.)The average return on the Market is 12% while the market risk premium is 7%. What is the require rate of return of the portfolio? (In percentage) Blue Co. has a collection of shares that is publicly trade. The value of each security and its stock beta are as follows: stock Investment Beta CEB 3,000,000 2 SMC 3,000,000 1.2 SCC 800,000 .5 MTB 1,200,000 1