Dayo is long a bear spread with strike prices 9.00 and 19.00. The ons expire in 12 months, the spot price is $12.50, the stock volatility is 0%, the risk free interest rate is 5.75% and the stock dividend rate is . Dayo delta hedges the position initially and then doesn't adjust the a hedge. One month later the stock price is still the same. How much s delta change? 0.02407 0.02721 0.02093 0.01988 It depends on whether she used put options or call options for the initial sition.
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- The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is zero. An investor sells put options with a strike price of $32. What is the risk-neutral probability of the underlying hitting $36 and what is the value of each put option? Question 5Answer a. 0.4 and $3.6 b. 0.6 and $3.6 c. 0.6 and $1.6 d. 0.4 and $1.6At time t=0 Mr. Anderson sets up a riskless portfolio by taking a position in an option and in the underlying asset. Explain what Mr. Anderson needs to do at time t=1 to keep his portfolio risk neutral and why. A stock price is currently $100 and at the end of four months it will be ST . A derivative written on this stock pays off expST1/3 in four months. Given that u = 1.15, d = 0.87, and that the risk-free interest rate is 10% p.a. (continuously compounded), answer the following questions using a one-period binomial model (show all the details of your calculations and display the results with four decimal places): Calculate the value of ∆ Calculate the current value of the derivative.A stock is currently priced at $53.87 and the futures on the stock that expire in six months have a price of $55.94. The risk-free rate is 5 percent and the stock is not expected to pay a dividend. Is there an arbitrage opportunity here? How would you exploit it? What is the arbitrage opportunity per share of stock?
- The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume the risk-free rate is zero. An investor sells put options with a strike price of $32. What is the price of each put option? O $3.6 O $1.6 O $2.4 О о O None of these KAMFOUNDEQ7: TFS stock is eurrently trading at $17.25 per share. In 4 months it will either rise by 24.00% or fall by 20.00% with equal probability. A 4 month put option struck at $22.43 is trading at $2.59. The risk free rate is 5.50%. What is the expected profit or loss (at maturity) of the put option? A) $2.41 B) $1.32 C) $2.63 D) $1.87 E) $2.19In two-months the price of stock will be either $23 or $27. The risk-free interest rate is 10%. The current price of the stock is $25. Suppose the price of the stock will be ST at the end of the two-months and the derivative on the stock will pays off Sr?. Find the value of the derivative. (A) $621.39 (B) $729.39 (C) $529.39 (D) $639.26
- 4. A stock is about to pay a dividend. You are given (i) The stock's current price is 110. (ii) The stock pays dividends of 2 quarterly. (iii) The continuously compounded risk-free rate is 0.05. Consider an European call optionon the stock expiring in 4 months with strike price 100. An European put option with the same conditions is worth 3.87. Determine the value of the European call option. [Hint: The forward price for a stock with dividends is given by F(t, T) = St-(Present Value of Dividens) Dividens are paid at time 0 and in a 3 month].Crisp Cookware’s common stock is expected to pay a dividend of $3 a share at the end of this year (D1 = $3.00); its beta is 0.8. The risk-free rate is 5.2%, and the market risk premium is 6%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $40 a share. Assuming the market is in equilibrium, what does the market believe will be the stock’s price at the end of 3 years (i.e., what is )?Assume S = $33.00, σ = 0.32, r = 0.06, div = 0.01. You short 100 $35 strike calls at 68 days until expiration. Under a delta hedge position, what is your overnight profit/loss if the stock rises to $34.50?
- The current price of a non-dividend-paying stock is $56. Over the next six months it is expected to rise to $65 or fall to $52. Assume the risk-free rate is 5%. An investor sells call options with a strike price of $58. What is the value of each call option? O $3.37 O $2.85 O $3.11 O $2.76The current price of a non-dividend-paying stock is $40. Over the next year it is expected to rise to $44 or fall to $36. An investor buys put options with a strike price of $41. What is the price of each option? The risk-free interest rate is 2% per annum (assume discrete compounding). a. $2.35 b. $1.76 c. $2.18 d. $1.96AMZN shares currently sell for 775. The stock pays no dividend. The current risk-free rate is 1.50% compounded continuously. You believe AMZN European options, with a strike price of 780, maturing in 24 trading days, should be selling for an implied volatility of 21%. (Assume there are 252 trading days in a calendar year.) What is the value for d₂ for this option as defined by the Black-Scholes Merton model (BSM model)? O d₂ < -0.05 -0.05 ≤ d₂ <-0.04 -0.04 ≤ d₂ <-0.03 -0.03 ≤ d₂ <-0.02 -0.02 ≤ d₂