For each of the statements below, determine if they are TRUE/FALSE and briefly explain why. a) Delta hedging is most difficult for at-the-money options just before their expiration. b) A protective put with a higher strike price provides greater downside protection but lower upside gains. c) A covered call with a lower strike price provides greater

For each of the statements below, determine if they are TRUE/FALSE and briefly explain why. a) Delta hedging is most difficult for at-the-money options just before their expiration. b) A protective put with a higher strike price provides greater downside protection but lower upside gains. c) A covered call with a lower strike price provides greater

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 13QTD

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Draw the profit diagram (profit not payoff) of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. Clearly state any assumptions made. Is the cost of the portfolio positive?
a)explain the concept of the delta normal method for calculating VAR when options are present in the portfolio. b)explain the basic concepts of the historical method and the Monte Carlo simulation method of calculating VARs. c)discuss the benefits and limitations of VAR. d)define credit risk (default risk). e)explain how option pricing theory can be used in valuing default risk.
Which of the following statements is correct? A delta-neutral portfolio is protected against large changes in the underlying asset price. The delta hedging error increases as gamma decreases. To change the vega of a portfolio, we need to trade the portfolio’s underlying asset. A delta-neutral portfolio needs to be rebalanced more frequently as the gamma increases to maintain delta-neutrality. Please explain and justify your choice using your own words.
a) discuss the relationship between the up-factor (u), down-factor (d), risk-free rate (r), and binomial probability (p) in the binomial model. b) discuss the assumptions in Black-Scholes-Merton model (BSM) from memory. c) discuss the variables in the BSM formula and explain how they affect call option pricing. d) define historical volatility and implied volatility. e) demonstrate how to reduce risk with gamma hedging.
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
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 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45
Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.
Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.
An efficient portfolio is one that: Select one: a. maximises return for a given level of risk. b. maximises risk for a given level of return. c. minimises risk for a given rate of return. d. Both A and C. are efficient portfolios.
The optimal proportion of the risky asset in the complete portfolio is given by the equation below y*= E(Rp− Rf) A0² For each of the variables on the right side of the equation, discuss the impact of the variable's effect on y* and why the nature of the relationship makes sense intuitively. Assume the investor is risk averse