By looking at the sensivities of your portfolio to ds = -$2 and 80 = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.) Variable Delta (A) Gamma (T) Vega (v) Option A Option B -0.5 0.2 0.2 0.1 7 8

By looking at the sensivities of your portfolio to ds = -$2 and 80 = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.) Variable Delta (A) Gamma (T) Vega (v) Option A Option B -0.5 0.2 0.2 0.1 7 8

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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Two call options, A and B, are on the same stock. Their hedge ratios are 0.4 and 0.7, respectively. If a riskfree portfolio of the two calls contains one Call A, then the portfolio needs to contain Call Bs (use negative numbers to mean short positions. Keep 2 decimal places.)
a) Calculate the expected return for Stock media Prima and Stock Astro b) Calculate the standard deviation for Stock media Prima and Stock Astro Note: please clear answer no lile, answer a, answer b.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
You want to allocate your money between the risk free asset (0.015), a fixed income fund ( E(B)=0.079, Volatility(B)=0.11), and a diversified stock fund ( E(S)=0.116, Volatility(S)=0.18). The correlation between the two risky funds is 0.57. When creating the optimal risky portfolio, how much weight in decimals should you invest in the diversified stock fund?
After learning the course, you divide your portfolio into three equal parts (i.e., equal market value weights), with one part in Treasury bills, one part in a market index, and one part in a mutual fund with beta of 0.72. What is the beta of your overall portfolio? 고
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Please advise
You are facing three stock investment alternatives, Stock A, Stock B and Stock C. Given the following information, please indicate which stock is (are) overvalued, which stock is (are) undervalued, and which stock is (are) correctly priced based on the required returns calculation using the Capital Asset Pricing Model (CAPM or Security Market Line=SML). The risk free rate is 3% and the risk premium for the market index return is 5%. Please Show Work Expected Stocks Returns BETA A 14% 1.2 B 8% 0.67 C 20% 2.5
A close family friend has approached you to help her determine which of the two common stocksshe should invest in. Common Stock A Common Stock BProbability Return Probability Return 0.3 11% 0.2 -5% 0.4 15% 0.3 6% 0.3 19% 0.3 14% 0.2 22%Required:a) Calculate the expected returns of stock A b) Determine the risk (standard deviation) and return of stock Ac) Calculate the expected returns of stock B d) Determine the risk (standard deviation) and return of stock Be) Which investment should your friend invest in?
The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45
A) Assume that you have some shares of stock in ABC Inc. Why do we say that if you also purchase a put option on the same stock, the price paid to buy the put option is like paying an insurance premium? B) We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value?
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.23 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock beta

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