You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 30%. The T-bill rate is 4%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund.   What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client’s? (Do not round intermediate calculations. Round your answers to 4 decimal places.)

Q: Find a portfolio with payoff at time T equal to if 0 ≤ S(T) ≤ 10, if 10 ≤S(T) ≤ 30, if 30 ≤S(T). VT…

A: To construct a portfolio with the desired payoff, we can break it down into three different regions…

Q: Assume that your client would prefer to invest her entire wealth into a portfolio with an annual…

A: To determine the optimal allocation, y, we need to use the Capital Market Line (CML) equation, which…

Q: Required: a. What proportion, y, of the total investment should be invested in your fund? b. What…

A: The expected return is a useful tool for estimating the potential average profit or loss on an…

Q: You manage a risky portfolio with an expected return of 12% and a standard deviation of 24%.…

A: The objective of the question is to understand the concept of Capital Allocation Line (CAL) and…

Q: You are managing a fund with an expected rate of return of 15% and a standard deviation of 27%. The…

A: A mixture of different kinds of funds and securities for the investment is term as the portfolio.

Q: You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of…

A: Here, Expected Return of Portfolio  is 12% Standard Deviation is 20% Risk-free rate is 4% Risk…

Q: After learning the course, you divide your portfolio into three equal parts (i.e., equal market…

A: Here,Beta of Market Index is always 1Since Treasury bills are risk free, Beta is 0Beta of Mutual…

Q: Find the optimal risky portfolio if you could only use these two funds, ABC and 123,  assume the two…

A: Here,   ABC 123 Expected return 0.12 0.15 Standard Deviation 0.2 0.3 Correlation…

Q: The risk-free rate is 4%, and the required return on the market is 12%. b. A portfolio invests 40%…

A: Portfolio return is the weighted average return of individual assets   Portfolio return = (WeightA *…

Q: After learning the course, you divide your portfolio into three equal parts, with one part in…

A: The beta of overall portfolio is calculated as weighted proportion of beta into each respective…

Q: You manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 34%.…

A: The Sharpe ratio refers to the measure of the risk-adjusted return to ascertain the compensation…

Q: You are evaluating various investment opportunities currently available and you have the fol- lowing…

A: Sharpe ratio refers to the measure of the performance of a portfolio based on its return after it…

Q: Problem 6-15 You manage a risky portfolio with an expected rate of return of 17% and a standard…

A: Sharpe ratio is used to help investors understand the return of an investment compared to its…

Q: You will have a portfolio that is only comprised of two assets. You plan to allocate 47.1% into…

A: Expected return on a portfolio refers to the anticipated gain or loss that an investor can expect…

Q: Aisyah is a new investor; she approached RHB Securities and the firm has provided her with the…

A: Hi, in order to answer part "f", d also needs to be calculated. d) Expected Return of Stock X:

Q: You estimate that the expected return of your portfolio is 30%. The standard deviation of the return…

A: z value = (-20 - 30)/25 = -2 so the probability = (100% - 95.44%)/2 = 2.28%

Q: Suppose that a fund that tracks the S&P has mean E(RM) = 16% and standard deviation OM = 10%, and…

A: Standard Deviation is mesaure the risk which is involved in earning the return from the stock. Lower…

Q: You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a…

A: Since equally invested in risk free asset and 2 stocks Weight of each stock=(1/3)

Q: Consider the following information about a risky portfolio that you manage and a risk-free asset:…

A: Expected return on overall portfolio= 7%Expected return on risky portfolio= 11%Risk-free rate=…

Q: The NXP fund has an expected return of 3.60%, with volatility 24.00%. The risk free rate is 1.70% ,…

A: The reward-to-volatility ratio, also known as the Treynor ratio, gauges how much excess return a…

Q: Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard…

A: Standard deviation is the quantitative measure of risk of stock return and is measured as the…

Q: After learning the course, you divide your portfolio into three equal parts (i.e., equal market…

A: Here, Beta of Market Index is always 1 Beta of Treasury Bills is always 0 Beta of Mutual Fund is 0.8…

Q: You plan to invest in either a mutual fund X or mutual fund Y. The following information about the…

A: Two asset portfolio expected return:  The anticipated return on an investment is the value assigned…

Q: You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5…

A: This consists of two parts: In the first part we need to calculate the beta of the portfolio. In the…

Q: After learning the course, you divide your portfolio into three equal parts (i.e., equal market…

A: So, the beta of your overall portfolio is approximately 0.573.

Q: You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 29%.…

A: The Sharpe ratio refers to the measure of the risk-adjusted return to ascertain the compensation…

Q: Consider a portfolio that offers an expected rate of return of 13% and a standard deviation of 20%.…

A: Given, Expected Rate of Return = 13% Standard Deviation = 20% T-Bill rate of return = 4% We will use…

Q: Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard…

A: Given data:> Risky portfolio rate of return (Re) = 17%>Risky portfolio standard deviation (Se)…

Q: Asset W has an expected return of 12.6 percent and a beta of 1.25. If the risk-free rate is 4.6…

A: Portfolio is a collection of investments. The portfolio is the collection of stocks, bonds, mutual…

Q: You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%.…

A: Solution:Sharpe ratio refers extra return over risk free return on per unit of risk.It is the ratio…

Q: After learning the course, you divide your portfolio into three equal parts (i.e., equal market…

A: A portfolio is a group of investments in which an investor has invested funds or money. A portfolio…

Portfolio Management

Portfolio management is the process by which an investor decides that how the person will invest in a variety of assets in order to get a desired return in the future. A portfolio means a pool of assets that includes securities, bonds, and other investment instruments which helps in risk minimization of the money that has been invested. In other words, it can be said that a portfolio means a combination of assets in which an investor decides to invest their money in order to get a lump sum return in the future or even a series of cash flow that the person is expecting at the end of their job life.