(a) Using a mean-variance framework, compute the optimal hedge ratio of a producer using oil futures contracts if in the oil market, the current spot price is $50, the current futures price is $45, the expected futures price is $35, the variance of the futures price is 300, the variance of the spot price is 400, the correlation between the spot and futures prices is 0.84 and the level of risk aversion has a value of 0.5 (NB: all prices are nor

(a) Using a mean-variance framework, compute the optimal hedge ratio of a producer using oil futures contracts if in the oil market, the current spot price is $50, the current futures price is $45, the expected futures price is $35, the variance of the futures price is 300, the variance of the spot price is 400, the correlation between the spot and futures prices is 0.84 and the level of risk aversion has a value of 0.5 (NB: all prices are nor

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter5: Currency Derivatives

Section: Chapter Questions

Problem 6BIC

See similar textbooks

Similar questions

Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) = ???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)
The data on the expected return of 2 stocks (M and C) along with the economic conditions and their probabilities is attached below Questions : Calculate the expected return for asset M and asset C. Calculate the standard deviation for asset M and asset C. c) If asset M is a market portfolio, while the beta (β) for asset C is 1.25 and the risk-free asset is 6%. What is the required rate of return for asset C according to the CAPM method ?. .
The expected return on the Market Portfolio M is E(RM)=15%, the standard deviation is sM=25% and the risk-free rate is Rf=5%. a.    Suppose that stock X has standard deviation sX=30%, and correlation with the market portfolio rXM=0.5. Compute bX and E(RX) (the beta and the expected return of stock X) according to the Market Model (ie: alpha equals zero under the Market Model). b.    Suppose that stock Y has standard deviation sy=15%, and correlation with the market portfolio rYM=-0.1. Compute bY and E(RY) (the beta and the expected return of stock Y) according to the Market Model (ie: alpha equals zero under the Market Model). c.    Compute the beta of a portfolio composed 65% of stock X and 35% of stock Y.
Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks                       Beta A                                  0.70 B                                   1.00 C                                   1.15 D                                  1.40 E                                 -0.30 Assume that you expect the economy RFR to be 6% (0.06) The expected return on the market portfolio (E(Rm)) to be 8% (0.08) A market risk premium of (0.04). Question: What would be the SML required rate of return for the following stocks. A, B,C,D and E
Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks                   Beta A                             0.70 B                             1.00 C                             1.15 D                             1.40 E                              -0.30 Also assume that you expect the economy RFR to be 6% (0.06) and the expected return on the market portfolio (E(Rm)) to be 8% (0.08) which implies a market risk premium of (0.04). What would be the SML required rate of return for the following stocks: A, B, C, D and E.
Assume that two securities, A and B, constitute the market portfolio, their proportions and variances are 0.39, 160, and 0.61, 340, respectively. The covariance of the two securities is 190. Estimate the systematic risk (beta) of the two securities. Note that the covariance of security-i with the market portfolio is simply the weighted average of the covariances of security-i with all the securities included in the market portfolio – the lesson you learned in the context of the bordered covariance matrix. Answer step by step.Do all part.Answer must be correct.
Suppose the standard deviation of monthly changes in the price of a commodity is 0.4. The standard deviation of monthly changes in futures price for a contract on commodity B (similar to commodity A) is 0.5. The correlation between the futures and commodity price is 0.88. What is the hedge ratio and the optimal number of contracts if the commodity trader wants to hedge 10000 bushels and one contract is on 100bushels? Hedge ratio should be rounded off to three decimal places and optima number of contracts should be in whole numbers.
Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium. (b) Draw the security market line, showing the positions of stocks A and B, as well as the risk-free rate and the market portfolio on the plot. You are not required to draw the security market line to scale. (c) Consider stock C that has an expected return of 30%, a beta of 2.3, and a standard deviation of returns of 20%. According to the CAPM, calculated in part (a) above, is stock C overpriced, underpriced, or correctly priced? What would you recommend to investors? (d) Briefly explain the definition of market portfolio in a CAPM economy
Given that the formula for CAPM is Expected return= risk free rate + Beta*(Return on market - risk free rate), Security A has a beta of 1.16 and an expected return of .1137 and Security B has a beta of .92 and expected return of .0984. If these securities are assumed to be correctly priced, what is their risk free rate? Based on CAPM, what is the return on the market?
The CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio. Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimate
Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.