What is the price today of a two-year put option on this stock with a strike price of $32? The maximum error is 0.1. a. 1.52 O b. 2.47 c. 1.82 d. None of these answers e. 2.07
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- Far a nonclividend-paying stock, yOU are giveni) The current stock price is 100 ii) At the end of one year the stock price will either be 100 u or 92 iii) The continuously compounded risk-free interest rate is 0.05 iv) The price of a one-year at the money call option on the stock is 1.78 Calculate uConsider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .Assume the Black-Scholes framework. Let S be a stock such that S(0) = 21, the dividend rate is δ = 0.02, the risk free rate is r = 0.05, and the volatility is σ = 0.2. (a) Calculate the expected payoff of a 6 month call with strike price 17. (b) Calculate the cost of such a call. (c) Calculate the cost of a 6 month put with strike price 17. (d) Calculate the price of a derivative that pays |S(0.5) − 17| in six months
- Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = 0.34. What would be the appropriate values for u and d if your binomial model is set up using: 1 period of 1 year. 4 subperiods, each 3 months. 12 subperiods, each 1 month.Suppose the stock price is $ 95 and the continously compounded interest rate is 7 %. a) What is the price of a 6 - month forward price, assuming dividends are zero? $ ? b) If the 6 - month forward price is $ 96.55, what is the annualized forward premium? % ? c) If the 6 - month forward price is $ 96.55, what is the annualized continous dividend yield? % ?Consider a 4-month forward contract for which the underlying asset is a stock index with value of 3, 825.97 and a continuous dividend yield of 0.5% Assume the continuous risk-free annual interest rate is 4.5%, a. Determine the no arbitrage forward price. $ Round your answer to the nearest cent b. Calculate the value of a long position if 2 month(s) later the index changes to 3, 825.97 and the risk-free rate is still 4.5% $ Round your answer to the nearest cent
- Suppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?Suppose that you are willing to pay $450.33 today for a share of stock which you expect to sell at the end of one year for $500.25. If you require an annual rate of return of 15 percent, what should be the estimate of the amount of the annual dividend which you expect to receive by the end of Year 1 prior to the sale of the stock? Assume that the estimated return equals the required rate of return. Options: a. $17.63 b. $1.60 c. $10.99 d. $19.25 e. $3.60Consider a stock with a current price of P = $27.Suppose that over the next 6 months the stockprice will either go up by a factor of 1.41 or downby a factor of 0.71. Consider a call option on thestock with a strike price of $25 that expires in6 months. The risk-free rate is 6%.(1) Using the binomial model, what are the endingvalues of the stock price? What are the payoffsof the call option?
- Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?Suppose that a stock price is currently 51 dollars, and it is known that one month from now, the price will be either 6 percent higher or 6 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 49 dollars. Assume that no arbitrage opportunities exist, and a risk free interest rate of 10 percent