A stock has a price of $73, which can later be $77 or $69 with equal probabilities. The options with exercise price $77 are valued at $1.53 for the call and $1.73 for the put. Calculate the gains/losses/returns for the stock. Calculate the gain/losses/returns for a covered call and protective put portfolio.
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A stock has a price of $73, which can later be $77 or $69 with equal probabilities. The options with exercise price $77 are valued at $1.53 for the call and $1.73 for the put.
- Calculate the gains/losses/returns for the stock.
- Calculate the gain/losses/returns for a covered call and protective put portfolio.
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- Discuss the risks and payoffs of the following positions, accompanied by payoff graphs. Buy a stock. Buy a call. Buy stock and sell a call option on the stock (covered call).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?Under which of the following circumstances would you want to buy a stock? Select one: a. The HPR is greater than zero. b. A stock's holding period return is greater than the CAPM return c. A stock's CAPM return is greater than its holding period return d. The stock's price is higher than its value
- 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% 2.5By looking at the sensivities of your portfolio to ds = -$2 and So = -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 Option A Option B Delta (A) -0.5 0.2 Gamma (T) 0.2 0.1 Vega (v) 8Call options on a stock are available with strike prices of $15, $17.5 and $20 before expiration date. The call premiums for each are $4, $2 and $0.5 respectively. Explain how the options can be used to create a butterfly spread. A. Construct a table showing how profit varies with stock price for the butterfly spread. B. Plot the profit with stock price for the butterfly spread. List the profit formula for each trend.
- Suppose that put options on a stock with strike prices $18 and $20 cost $2 and $3.50, respectively. How can the options be used to create a bull spread? Construct atable that shows the profit and payoff for the spread.Describe the effect on a call option’s price that results from an increasein each of the following factors: (1) stock price, (2) strike price, (3) time toexpiration, (4) risk-free rate, and (5) standard deviation of stock return.Assume that there are three different put options on a stock available and that all of them have the same expiration date. These three options have the following market prices $6, $3, and $1, and strike prices $40, $35, and $30, respectively. Construct a butterfly spread and show the relevant profits and losses. The use of graph is essential.
- Finance (a) Consider a portfolio with a Delta of 100, a Gamma of -20, and a Vega of -10. There are two traded options available: Traded options 1 Traded options 2 Delta 0.2 -0.1 Gamma Vega 0.01 0.05 0.5 0.3 What position in the traded option and/or underlying stock would make the portfolio Gamma and Vega neutral? (Required: Show your work step by step)V3. By looking at the sensivities of your portfolio to δs = -$2 and δσ = -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.)In the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike price