Problem 6. Find a portfolio of vanilla options written on the same stock that produces thefollowing payoff at expiry date.Profit10100 105150StockPrice

Vanilla option-is a call or a put option which enables the holder the right, but not the…

Answered: Problem 6. Find a portfolio of vanilla…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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onsider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 7% 2.2% 5.0% 2 0.5 15 25 12 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
Problem 2-12 (Algo) Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po A B P1 01 P2 02 00 140 145 145 145 145 145 135 290 130 290 130 290 270 290 280 290 145 580 C Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. a. Rate of return b. Rate of return % %
Please step by step answer.
Report the beta of each stock and demonstrate a clear understanding of the concept of market efficiency.
You decide to form a portfolio of the following amounts invested in the following stocks. What is the expected return of the portfolio? SET YOUR CALCULATOR TO 4 DECIMAL PLACES THEN INPUT THE NUMBER AS PERCENTAGE ROUNDING TO 2 DECIMALS. DO NOT ENTER THE % SYMBOL..i.e. if your answer is 7.7711%, enter it as 7.77. Stock Apple Microsoft Ford Time Warner Amount Beta Expected Return $1,125 2.40 10.50% $4,649 0.73 16.90% $9,502 1.95 15.75% $1,831 1.27 11.80%
Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% Portfolio
Historical Returns: Expected and Required Rates of Return You have observed the following returns over time: Assume that the risk-free rate is 5% and the market risk premium is 4%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. % Year 2017 2018 2019 2020 2021 % Stock X 12% 17 -13 2 22 % Stock Y 15% 7 -4 3 12 Stock X: Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: Stock Y: c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. Market 13% 12 -10 2 15
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Stock A's stock has a beta of 1.30, and its required return is 13.75%. Stock B's beta is 0.80. If the risk-free rate is 4.75%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.) Select the correct answer. a. 10.26% b. 10.32% c. 10.29% d. 10.35% e. 10.38%
2. The following table shows the constituent stocks of a hypothetical index. Stock B splits two-for-one during the period. Stock A B C Beginning of Period Price ($) Shares 30 75 36 2,000 500 1,200 End of Period Price ($) 26 40 32 Shares 2,000 1,000 1,200 a. Calculate the returns on both the price-weighted index and the market value- weighted index of three stocks over the period. b. If you just buy 5,000 shares of stock C for $36, hold for 1 year, collect $8 dividend and sell it at $32. Calculate your total return.
2. Consider stocks A and B with the following monthly returns: Stock 1 2 3 4 A -2% 3% 1% 6% 4% B 1% -2% 4% 5% 3% a. What is the expected return and risk of a portfolio composed of 30% A and 70% B? b. What is the contribution of each stock to portfolio's return and risk? c. What is the structure of the minimum risk portfolio? Compute its expected return and risk.
None

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Problem 6. Find a portfolio of vanilla options written on the same stock that produces the following payoff at expiry date. Profit 10 100 105 150 Stock Price