"ULTA's current stock price is $265, Its return volatility is 60%. Assume no dividend and a continuously compounding interest rate of 5%. Construct a twe step binomial tree with each step being 6-month based on the approach on the lecture notes, and value a 1-year $200 - strike ULTA put option on this tree (You will be asked about the option's payoff, value, delta, and the tree probability in separate numerical questions on ULTA. So please keep the tree result to avoid repetition). What's the delta of this 1 - vear put option? (round answer to 0.01)"
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- Consider 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?HEJO company has the current stock price of $20 today. Use a 1 step binomial tree to estimate the price of a oneyear call on thisstock. Assume the price can increase or decrease by 10% in in the next year with equal likelihood. Risk free rate is 2%, the strike is $21. A. Find the hedge ratio(H), (make sure have the correct sign, this will be written out as a decimal Answer: 0.25 B) Find the call's value or price today Answer: .58 C) Using the above information to price a put using call parity. Answer: 1.17 Please explain without using excel.Suppose XYZ stock pays no dividends and has a current price of $50. The forward price for delivery in 1 year is $55. Suppose the 1-year eective annual interest rate is 10%. (a) Graph the payo and prot diagrams for a forward contract on XYZ stock with a forward price of $55. (b) Is there any advantage to investing in the stock or the forward contract? Why? (c) Suppose XYZ paid a dividend of $2 per year and everything else stayed the same. Now is there any advantage to investing in the stock or the forward contract? Why?
- Assume the price of an non-dividend stock is $40, the annual volatility of the stock is 20%, and the continuous compound risk-free interest rate is 5%. What's the price of a European put option on this stock with delivery price of $40 with 1-year expiration? (The standard normal distribution table is in the attachment or you can use excel function NORMSDIST, and please keep the results with 3 decimal places.) (BS Model-Option Pricing)The current price of a non-dividend paying stock is $30. Use a two -step tree to value a European call option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, the risk free rate is 8% per annum with continuous compounding. What is the option price when the volatility is 20%? (Hint: Calculate u and d using the CRR approach.) A. $1.48 B. $1.08 C. $1.68 D. $1.282) Suppose that the price of a non-dividend-paying stock is $32, its volatility is 30%, and the risk-free rate for all maturities is 5% per annum. Provide a table showing the relationship between profit and final stock price for a bull spread using European put options with strike prices of $25 and S$30 and a maturity of one year. Ignore the impact of time value of money.
- A stock has a price of $37 and an annual return volatility of 59 percent. The risk-free rate is 3.13 percent. Perform calculations in Excel. a. Calculate the European call and European put option prices with a strike price of $38.00 and a 90-day expiration. (Use 365 days in a year. Do not round Intermediate calculations. Round your answers to 2 decimal places.) Call premium Put premium b. Calculate the deltas of the European call and European put. (Use 365 days In a year. A negative value should be Indicated by a minus sign. Do not round Intermediate calculations. Round your answers to 4 decimal places.) Call delta Put delta3. Consider a non-dividend paying stock whose initial stock price is 62 and has a log- volatility of σ = 0.20. The interest rate r = 10%, compounded monthly. Consider a 5-month option with a strike price of 60 in which after exactly 3 months the purchaser may declare this option a (European) call or put option. Assume u = 1.05943 and d = = 0.94390 (a) Compute the values of the binomial lattice for 5 1 month period. 0 1 2 3 4 5 62 (b) Compute the appropriate risk-free rate. (c) Find the risk-neutral probability p of going up? (d) Find the values of call option and put option along this lattice: 0 5.85 1 2 3 4 5 call option 0 1 2 3 4 5 1.40 put optionPerform all calculations with excel: ABC Corporation is currently trading at $40, with volatility\ sigma 30%, r = 5%, and no dividends. Assume that the ABC stock price can be modeled according to a three period binomial approach with T = 9 months and n = 3, so that the stock price moves every 3 months. 1. Build out the binomial tree for ABC. 2. What is the value of an American put option with strike price 40? 3. What is the value of a European call option with strike price 50?
- Consider a stock with a current price of P $27 Suppose that over the next 6 months the stock price will either go up by a factor of 1.41 or down by a factor of 071. Consider a call option on the stock with a strike price of $25 that expires in 6 months. The nsk-free rate is 6%. (1) Using the binomial model, what are the ending values of the stock price? What are the payoffs of the call option? (2) Suppose you write one call option and buy N shares of stock How many shares must you buy to create a portfolo with a riskless payoff Ge, a hedge portfolio)? What is the payoff of the portfolio? 13)What.is the.present.value of the hedge port- Tolot What &the value of phe calt.option? (4) What s a teplieatirg portfolio What is 2otrage?3) Suppose that the price of a non-dividend-paying stock is $27, its vo itility is 20%, and the risk- free rate for all maturities is 6% per annum. Provide a table showing the relationship between profit and final stock price for a butterfly spread using European put option with strike prices of $20, $25, and $30 and a maturity of one year. Ignore the impact of time a e of money.he stock price of Copious Corp. is currently $31. The stock price 2 year(s) from now will be either $34 or $ 27. The annual risk - free rate is 7.2%. Using the binomial model, what is the value of a call option with an exercise price of $31 and an expiration date 2 year(s) from now?