To create a delta-neutral portfolio, the SIT fund has sold 10,000 at-the-money (ATM) put options on Epsilon stock with when the shares were trading at $100. The risk manager from SIT uses the Black-Scholes model to value all option exposures. The current price of the shares is $90. The annualized standard deviation of Epsilon stock returns is 40% and the option expires in six months. If the risk-free rate is 2%, approximately, what is the likelihood that this option will be exercised? 26 (a) 0.6839 (b) 0.7975 (c) 0.3161 (d) 0.2025
Q: Your portfolio consists of two securities: Transcomm and MidCap. The expected return for Transcomm…
A: Transcomm expected return = 16.1%MidCap expected return = 6.1%Transcomm standard deviation (SD) =…
Q: The market risk premium is given as 10.3 percent. The risk free rate is 2.9 percent. You invest…
A: Capital Asset Pricing Model (CAPM) is a financial model to determine the minimum required rate of…
Q: Tyler Trucks stock has an annual return mean and standard deviation of 14 percent and 43 percent,…
A: To address this question, the initial step involves calculating the portfolio's expected return and…
Q: In addition to risk-free securities, you are currently invested in the Tanglewood Fund, a broadbased…
A:
Q: Assume the price of the Schwab Small-Cap index fund is $50 per share, the annual expected return is…
A: Let's first understand the information given in the question -Price of the Schwab Small-Cap index…
Q: A portfolio consists of 1,000 shares of stock and 500 short calls on that stock. The current stock…
A: To calculate the dollar change in the value of the portfolio in response to a one-dollar increase in…
Q: Assume you have $9000 to invest; A stock is trading at $90.00. A call option that expires in one…
A: As the portfolio's investment is made in stocks only, return on portfolio is calculated as the…
Q: The investor decides to diversify by investing $4,000 in Gryphon stock and $8,000 in Royal stock,…
A: The expected return of a portfolio comprising of two stocks is the sum of weighted average returns…
Q: You have been managing a $5 million portfolio that has a beta of 1.45 and a required rate of return…
A: The CAPM model refers to the relationship between the systematic risk faced by the investment and…
Q: You invest 70% of your funds in stock X with an expected return of 16% and a standard deviation of…
A: The amount invested in the portfolio in certain definite proportions will be multiplied by their…
Q: You use the standard binomial model and the following information to construct a one-period binomial…
A: First we need to calculate, the risk neutral probabilities which are given by P = upside…
Q: A portfolio manager decides to adjust the beta of his $101148 equity portfolio from 0.5 to 1.3 for…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: You have been managing a $5 million portfolio that has a beta of 1.35 and a required rate of return…
A: The objective of this question is to calculate the required return on a portfolio after investing…
Q: Consider a portfolio that is comprised of two stocks A and B. The position in stock A is valued at…
A: Note: As multiple questions have been posted, we will solve the first three questions for you. In…
Q: Your portfolio allocates equal funds to DW Company and Woodpecker, Incorporated. DW Company stock…
A: DW company:Weight = 50%Expected return = 12%Standard deviation = 41%Woodpecker Incorporated:Weight =…
Q: To create a delta-neutral portfolio, the SIT fund has sold 10,000 put options on Epsilon stock with…
A: Black Scholes Model is one of the model which is based on mathematical derivation so that prices of…
Q: You have been managing a $5 million portfolio that has a beta of 1.15 and a required rate of return…
A: Current investment value: $5,000,000Additional investment: $500,000Beta of current investment:…
Q: Consider the possible rates of return that Mr. Bernabe might earn next year on a $50,000 investment…
A: Aboitiz's Expected Returns=14% Aboitiz's Standard Deviation=20% ACEN's Expected Returns=9% ACEN's…
Q: You have a portfolio with a standard deviation of 20% and an expected return of 15%. You are…
A: The risk associated with the portfolio refers to the uncertainties resulting due to price…
Q: how much BP has to pay?
A: LIBOR: It is a benchmark for interest rates at which many international banks lend to one another…
Q: Greta has risk aversion of A3 when applied to return on wealth over a 1-year horizon. She is…
A: Here, Expected ReturnStandard DeviationRisk Premium of S&P 5009.00%18%Risk Premium of Hedge…
Q: You have been managing a $5 million portfolio that has a beta of 0.85 and a required rate of return…
A: Calculation of return on market (RM) Required return = risk free return + beta ×( market return -…
Q: Greta has risk aversion of A = 5 when applied to return on wealth over a one-year horizon. She is…
A: S&P 500Risk-premium =9%SD =17%Hedge fundRisk-premium=11%SD=32%
Q: (c) You have been assigned to implement a three-month hedge for a stock mutual fund portfolio that…
A: Cross Hedging: It is the type of hedging risk by utilizing two distinct assets with positively…
Q: daily volatility is 1%. Use the quadratic change in the portfolio value.
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Calculate the effect of your strategy on the fund manager’s returns if the level of the market in…
A: In order to hedge the risk in the portfolio value of $55 million, the fund manager uses a 6-month…
Q: Consider a portfolio that is comprised of two stocks A and B. The position in stock A is valued at…
A: Portfloio
Q: A portfolio manager in charge of a portfolio worth $10 million is concerned that the market might…
A: Put options are financial instruments used to safeguard against potential losses in investments.…
Q: Greta has risk aversion of A-5 when applied to return on wealth over a one-year horizon. She is…
A: Covariance measures the degree to which two random variables move together. If the covariance is…
Q: Assume you have $7000 to invest; A stock is trading at $100.00. A call option that expires in one…
A: Preimum on Options Purchased is $8.00Total Investment is $7,000Strike Price of Call Option is…
Q: A trader has invested $100,000 in Stock A and $150,000 in Stock B. She knows the following: • Stock…
A: Investments have been made into two different stocks. For this portfolio, 10 day Value-at Risk at…
Q: utual fund manager has a $80 million portfolio with a beta of 2.0. The risk-free rate is 4.3%, and…
A: Beta shows the risk related to the overall risk of the market and volatility shows volatility…
Q: What is the expected return on this portfolio
A: The Optimal Risky Portfolio, also known as the Tangency Portfolio or the Market Portfolio, is a key…
Q: Tyler Trucks stock has an annual return mean and standard deviation of 12.5 percent and 46 percent,…
A: Thus, the smallest expected loss for your portfolio in the coming month with a probability of 1.0…
Q: The following is part of the computer output from a regression of monthly returns on Waterworks…
A: The rate of return on an investment with no chance of financial loss is called to as the "risk-free…
Q: Use this information for problems through 24. The stock was priced at 165.13. The expirations are…
A: Let's discuss the alternatives table you gave in more detail. The options in the table are put and…
Q: Your portfolio allocates equal funds to DW Co. and Woodpecker, Inc. DW Co. stock has an annual…
A: Here, CompanyProbabilityMeanStandard DeviationDW Co.0.510%33%WP Inc0.521%47%Correlation0
Q: hares that have a front-end load of 5.25 percent, a 12b-1 fee of .33 percent, and other fees of 1.03…
A: The rate of return refers to the expected cash inflows out of an investment in the near future on…
Q: Greta has risk aversion of A = 4 when applied to return on wealth over a one-year horizon. She is…
A: Capital allocation refers to the method which is helpful in determining the strategy of investment…
Q: ppose the stock price is 40 and we need to price a put option with a strike of 45 maturing in 4…
A: The given problem relates to black-Scholes Model.
Q: You are creating a new portfolio by investing 50% of your money in a stock fund and the rest in a…
A: Standard deviation of portfolio comprising of 2 securities is computed by following formula-Where,=…
Q: You have recommended a portfolio comprising of 65 percent in a bond index and 35 percent in a stock…
A: Portfolio refers to the collection of all individual securities or investments held by a person or…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- This example is part of "Hedged Portfolios" to minimize risk. Assume you have $9000 to invest; A stock is trading at $90.00. A call option that expires in one year with a strike price of $90.00 is trading at $10.00. What is your portfolio's 1-year return if you invest in "Only Stocks" and the the stock price after one year is $48.00? Enter your answer in the following format: + or - 0.1234 Hint: Answer is between -0.4212 and -0.5042 ___________? ANSWER IN TYPINGThis example is part of "Hedged Portfolios" to minimize risk. Assume you have $7000 to invest; A stock is trading at $100.00. A call option that expires in one year with a strike price of $100.00 is trading at $8.00. How much is your portfolio's 1-year return if you invest in "Only Options" and the stock price after one year is $54.00? Enter your answer in the following format: + or - 0.1234 Hint: The Answer is between -0.89 and -1.08A portfolio consists of 1,000 shares of stock and 500 short calls on that stock. The current stock price is $92.20. The call option has a maturity of one year, with an exercise price of $100 and a standard deviation of 25%. The risk-free rate is 5%. The call option price is found by using the Black-Merton-Scholes model. What would be the dollar change in the value of the portfolio be in response to a one-dollar increase in the stock price?
- A fund manager has a portfolio worth $95 million with a beta of 1.16. The manager is concerned about the performance of the market over the next two months and plans to use three-month futures contracts on the S&P 500 to hedge the risk. The current level of the S&P 500 index is 2,675, the risk-free rate is 2% per annum, and the dividend yield on the index is 4% per annum. The current 3-month S&P 500 index futures price is 2,660, and one contract is on 250 times the index. (a) What position should the fund manager take to eliminate all risk exposure to the market over the next two months? (B' = 0) How many three-month S&P 500 futures contracts should the fund manager buy or sell now? (Rounding to the nearest whole number.) (b) Calculate the effect of your strategy on the fund manager's returns if the level of the S&P 500 index in two months is 2,585. Assume that the 3-month S&P 500 index futures price is 2,570 in two months. What would be the expected value of the fund manager's hedged…A fund manager owns a portfolio of 10 stocks. Explain how the manager can reduce the systematic risk of his portfolio by 10% over the next year using futures. Will the expected return on the manager’s portfolio also drop by 10%? Is it possible for the manager to perfectly hedge his exposure to equity risk? Explain your answers.A trader has invested $100,000 in Stock A and $150,000 in Stock B. She knows the following: • Stock A's daily average return is 0% and its daily standard deviation is 1%. • Stock B's daily average return is 0% and its daily standard deviation is 4%. • The stocks have a correlation of 0.8. If returns are assumed to be normally distributed, calculate the 10 day Value-at Risk for this portfolio at the 99% level. Use 4-digit decimal places throughout the calculation.
- At time t=0 Mr. Anderson sets up a riskless portfolio by taking a position in an option and in the underlying asset. Explain what Mr. Anderson needs to do at time t=1 to keep his portfolio risk neutral and why. A stock price is currently $100 and at the end of four months it will be ST . A derivative written on this stock pays off expST1/3 in four months. Given that u = 1.15, d = 0.87, and that the risk-free interest rate is 10% p.a. (continuously compounded), answer the following questions using a one-period binomial model (show all the details of your calculations and display the results with four decimal places): Calculate the value of ∆ Calculate the current value of the derivative.Your portfolio allocates equal funds to DW Company and Woodpecker, Incorporated. DW Company stock has an annual return mean and standard deviation of 12 percent and 41 percent, respectively. Woodpecker stock has an annual return mean and standard deviation of 10.8 percent and 55 percent, respectively. The return correlation between DW and Woodpecker is zero. What is the smallest expected loss for your portfolio in the coming month with a probability of 16 percent? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round the z-score value to 3 decimal places when calculating your answer. Enter your answer as a percent rounded to 2 decimal places. Smallest expected lossConsider a portfolio manager with a $20,500,000 equity portfolio under management. The manager wishes to hedge against a decline in share values using stock index futures. Currently a stock index future is priced at 1250 and has a multiplier of 250. The portfolio beta is 1.25. Calculate the number of contract required to hedge the risk exposure and indicate whether the manager should be short or long. 82 contracts long. 100 contract short. 82 contracts short. 100 contracts long.
- A portfolio manager decides to adjust the beta of his $101148 equity portfolio from 0.5 to 1.3 for the next five months. The manager selects a future on the market index, which is currently traded at $487, to adjust the beta of his equity portfolio. The expectation about the market underpinning the adjustment of beta and the number of futures contracts the manager should take are: a. The market will be moving up, and a long position in 166 futures contracts should be held b. The market will be moving down and a short position in 104 futures contracts should be held c. The market will be moving down, and a long position in 270 futures contracts should be held d. The market will be moving up, and a short position in 166 futures contracts should be held Which of the following best describes the role of central clearing parties a. CCPs are used to manage price risk of futures transactions b. CCPs services are used in all OTC derivative transactions c. CCPs help market participants to…, assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected return and standard deviation of your client’s portfolio? Suppose your risky portfolio includes the following investments in the given proportions: Stock A 27% Stock B 33 Stock C 40 What are the investment proportions of each stock in your client’s overall portfolio, including the position in T-bills? What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? Draw the CAL of your portfolio on an expected return/standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund’s CAL.As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 f the risk-free rate (RFR) is 3.9% and the expected market risk premium (i.e., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ.