The below table shows the list of prices for puts expiring in 30 days (T = 1/12). Using the put option with a strike price of $234, estimate the level of the VIX index. K р 230 2.14 231 2.37 232 2.62 233 2.91 234 3.23 235 3.60 236 4.01 237 4.47 238 4.95 Other parameters you'll need: SO = $234.35 r = 0.74% T = 1/12 years (required precision 0.01 +/- 0.01)
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- The below table shows the list of prices for puts expiring in 30 days (T = 1/12). Using the put option with a strike price of $236, estimate the level of the VIX index. K p 230 2.14 231 2.37 232 2.62 233 2.91 234 3.23 235 3.60 236 4.01 237 4.47 238 4.95 Other parameters you'll need: s0 = $234.35r = 0.74%T = 1/12 years (required precision 0.01 +/- 0.01)1) Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $40, S = $37.90, r = 5.0%, σ = 0.35 2) Draw the binomial tree listing only the stock prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $70, S = $68.50, r = 6.0%, σ = 0.32 3) Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month put option, using 3-month intervals as the time period. K = $40.00, S = $37.90, r = 5.0%, σ = 0.35 4) Using a binomial tree explanation, explain the situation in which an American option would alter the pricing of an option.This section asks you to calculate prices for various options. In all cases, consider a rate r = 7.97% per year. Estimate the volatility of returns using the estimator: 1 n-1 σ²≈ T-t i=0 Si+1 log. Sti 2 The term of each option will be T = 182/360 (half a year). Determine a reasonable strike K, which is at similar levels to the price series you have downloaded. An option is a derivative instrument that gives its holder the right to buy or sell an underlying asset at a pre-agreed price K at a future date T. If this right can only be exercised in time T, we say that the option is of the European type. If it can be exercised at T or at any time prior to T, then we say that the option is American. Likewise, if the option grants the right to buy, we say that the option is Call type, if it grants the right to sell then the option is Puttype. These types of options are the simplest and are known as European vanilla options. In this case, if T is the expiration date of the contract, and St is…
- Ringling Cycle’s stock price is now $20. You need to find the valueof a call option with a strike price of $22 that expires in 2 months.You want to use the binomial model with 2 periods (each period isa month). Your assistant has calculated that u = 1.1553, d = 0.8656,pu = 0.4838, and pd = 0.5095. Draw the binomial lattice for stockprices. What are the possible stock prices after 1 month? ($23.11or $17.31) After 2 months? ($26.69, $20, or $14.99) What are theoption’s possible payoffs at expiration? ($4.69, $0, or $0) Whatwill the option’s value be in 1 month if the stock goes up? ($2.27)What will the option’s value be in 1 month if the stock price goesdown? ($0) If each month is 1/12 of a year, what is the currentvalue of the option? ($1.10)Please calculate the price of a put option that matures in 2 months with a strike price of $58. Assume the risk free rate is 3%/month. 50 Month 1 A. 7.29 B.1.07 OC.11.3 OD.O 62.5 45 Month 2 78.125 56.25 40.5For the European Put with the parameters S0 = 100, E = 110, r = 0, expiration in 3 months, use the 3-level tree model (At = 1/12) with u = 1.1, d = 0.9. Calculate the option price and deltas. %3D
- Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.Give typing answer with explanation and conclusion A call option has a strike price of $11, and a time to expiration of 0.8 in years. If the stock is trading for $20, N(d1) = 0.5, N(d2) = 0.12, and the risk free rate is 5.40%, what is the value of the call option?You have the following information about LearnMore Inc.’s stock and a two-month call option with a strike price of $140.00. LearnMore Inc.’s current stock price is $100.00. You are using the multiperiod binomial option pricing model to find the value of the two-month option with two periods. ∏u∏u and ∏d∏d values given here apply to any period. Data Collected for LearnMore Inc. u 1.5032 d 0.5922 ∏u∏u 0.2357 ∏d∏d 0.3555 You work with a junior analyst to calculate the value of the option, and she submits her inferences to you. Which of the following points are true in the case of LearnMore Inc.’s stock options? Check all that apply. The option payoff if the stock goes up in two months will be $10.32. The value of the two-month call option with a strike price of $140.00 at the end of two months will be $2.43. The value of the call option will always remain $2.43, irrespective of the time until expiration. LearnMore Inc.’s stock price…
- You are using a two-step binomial tree to estimate the price of a put option on MCD. The strike price of the put option is $22. The price of MCD today is $32. The risk-free rate is 5%. What is the price of the put? Round your solution to the nearest three decimals if needed (Le. 2.312). Please do not type the $ symbol. u-3 d= 0.59 Click on the arrow next to the file below. Next, create a new sheet in the Respondus LockDown Browser spreadsheet. You can use this blank spreadsheet to calculate the answer. Blank Spreadsheet.xisxGive typing answer with explanation and conclusion to all parts Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900Using put-call parity, if the price of an At-the-Money Call option maturing in 1 day is $3.14, what is the price of an of an At-the-Money Put option maturing in 1 day (give an approximation)? A. $0.95 B. $2.86 C. $3.14 D.$3.26