(10%) Assume there are two Call options for Intel stock at CBOE with strike price 100 and 120.. The current stock price for Intel is 110. (i) Construct a Bear Spread using these options. Specify the option positions you hold. Draw the terminal payoff graph for the bear spread.

Suppose you want to price an American style put option for a stock being traded on theDryfontein Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ =0.2 and r = 0.07. Using n = 5, calculate the value of V2(2). Provide all necessary details.

Three call options on a stock have the same expiration date and strike prices of $55, $60, and $65. The market prices are $8, $5, and $3, respectively. Explain how a butterfly spread can be created. Construct a table showing the profit from the strategy. For what range of stock prices would the butterfly spread lead to a loss?

Call 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.

Based on the put - call parity, please briefly explain how to replicate a call option of a stock with a strike price of $100. Assume that the risk-free rate is 5%.

Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?

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You are long both a call and a put on the same share of stock with the sameexercise date. The exercise price of the call is $40 and the exercise price of the put is$45. Plot the value of this combination as a function of the stock price on the exercisedate (draw a payoff diagram)

We will derive a two-state put option value in this problem. Data: S0 = 100;   X = 110; 1 + r = 1.10. The two possibilities for ST are 130 and 80.a. Show that the range of S is 50, whereas that of P is 30 across the two states. What is the hedge ratio of the put?b. Form a portfolio of three shares of stock and five puts. What is the (nonrandom) payoff to this portfolio?c. What is the present value of the portfolio?d. Given that the stock currently is selling at 100, solve for the value of the put.

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