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Time Value of Options [LO2] You are given the following information concerning options on a particular stock:
a. What is the intrinsic value of the call option? Of the put option?
b. What is the time value of the call option? Of the put option?
c. Does the call or the put have the larger time value component? Would you expect this to be true in general?
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Chapter 25 Solutions
Fundamentals of Corporate Finance
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- 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.)arrow_forwardAssume a stock is selling for GH¢48.50 with options available at 40, 50, and 60 strike prices.The 50 call option price is at 2.75.a. What is the intrinsic value of the 50 call?b. Is the 50 call in the money?c. Are the 40 and 60 call options in the money?arrow_forwardSuppose that call options on a stock with strike prices $100 and $106 cost $8 and $5, respectively. How can the options be (the profits from option positions and the total profit).arrow_forward
- 1. An option is trading at $5.26, has a delta of .52, and a gamma of .11. what would the delta of the option be if the underlying increases by $.75? What would the delta of the option be if the underlying decreases by $1.05? Explain.arrow_forwardYou have a portfolio of options on the same underlying as follows. Each option controls 100 shares. Long 1 call ∆ ±0.5 Short 5 calls ∆ ±0.8 Short 2 puts ∆ ±0.4 b) A traded option exists with a ∆ 0.45. This option controls 100 shares. What position in this traded option would make your portfolio delta neutral?arrow_forwardConsider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option Xarrow_forward
- Q.20 The risk manager of a large investment bank is reviewing the bank's investments in options contracts. He is particularly interested in call options contracts on shares of Hamilton Invest that the bank bought a few months ago. Hamilton Invest just unexpectedly announced that they would pay a USD 3 dividend per share in the sixth and twelfth months. The risk manager is concerned with the impact of dividends on the option's price. The risk- free rate is 5%, and the option has the following characteristics: A By how much will the price of the options change after the announcement of the dividends? Assume that N(d,) before and after the announcement of the dividend is 0.7654 and N(d₂) before and after the announcement of the dividend is 0.5489? B Strike price Expiration Underlying's Price Annual volatility The price of the option will increase by USD 3.32 USD 140 13 months USD 151 35% The price of the option will decrease by USD 3.32arrow_forwardfr1. Subject :- Accounting \ Graph the value of your portfolio as a function of the relevant stock price. Please create a graph for stock prices between 130 and 165. Assume today is the last day for exercising your options. Short a call at 163, long a put at 163, and long one share of the stock.arrow_forwardYou have a portfolio of options on the same underlying as follows. Each option controls 100 shares. Long 1 call ∆ ±0.5 Short 5 calls ∆ ±0.8 Short 2 puts ∆ ±0.4 a) How many shares would you need to buy or sell to get your portfolio delta neutral?arrow_forward
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