There is a European put option on a stock that expires in two months. The stock price is $93 and the standard deviation of the stock returns is 68 percent. The option has a strike price of $101 and the risk-free interest rate is an annual percentage rate of 7 percent. What is the price of the put option today? Use a two-state model with one-month steps. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
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There is a European put option on a stock that expires in two months. The stock price is $93 and the standard deviation of the stock returns is 68 percent. The option has a strike price of $101 and the risk-free interest rate is an annual percentage rate of 7 percent. What is the price of the put option today? Use a two-state model with one-month steps. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

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- There is a European put option on a stock that expires in two months. The stock price is $76 and the standard deviation of the stock returns is 58 percent. The option has a strike price of $84 and the risk-free interest rate is an annual percentage rate of 4.8 percent. What is the price of the put option today? Use a two-state model with one- month steps. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Put valueConsider a European Call option of stock XYZ. The current price of the option is $5.67. This option has 3 months to maturity, and the strike price is $80. Currently, the price of XYZ stock is $65. The 3-month interest rate (annualized, continuously compounded) is 4%. Compute the net payoff to the buyer of the option at the expiration of the options, assuming that: the price of XYZ at maturity is $105 $ the price of XYZ at maturity is $70 $Consider an American put option with time to expiry 15 months, and a strike of 74. The current price of the underlying is 71. Divide the time to expiry into three 5-months intervals. Assume that in each 5-months interval, the price can either rise by 5, or fall by 5, with unknown probability. The risk-free (continuously compounding) rate is 0.042. Using a binomial tree, identify the circumstances under which early exercise would be rational for the holder of this option. Draw the binomial tree and show the necessary calculation and briefly explain the answer.
- A stock price is currently $80. At the end of four months it will be either $75 or $85. The risk-free rate is 5% per annum with continuous compounding. What is the value of a four-month European put option with a strike price of $80? Use the risk-neutral valuation to answer the question. (Round your answer to the 4 decimal places)You observe the price of a European put option that expires in nine months and has a strike price of$45 is $3. The underlying stock price is $49.50. The term structure is flat, with all risk-free interestrates being 8%.a. What is the price of a European call option that expires in nine months and has a strike priceof $45? b. You observe next that the price of the call option (in part (a)) in the market is $9.59. Statewhy an arbitrage opportunity exists and explain how you would take advantage of thisopportunity. (Hint: answer should include an outline general strategy, net cost ofstrategy at initiation and net profit at expiration using the numbers in the question)A stock price is currently $71. Over each of the next two 3-month periods it is expected to go up by 8% or down by 8%. The risk - free interest rate is 4% per annum with continuous compounding. What is the value of a 6 month European call option with a strike price of $70? Keep intermediate step numerical values correct to 3 decimal places and calculate your final answer to 2 decimal places.
- A put option that expires in six months with an exercise price of $65 sells for $4.45. The stock is currently priced at $61, and the risk-free rate is 3.9 percent per year, compounded continuously. What is the price of a call option with the same exercise price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Call priceThe market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31A put option and a call option with an exercise price of $55 and three months to expiration sell for $1.15 and $5.30, respectively. If the risk-free rate is 4.2 percent per year, compounded continuously, what is the current stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price
- The stock price 6 months from the expiration of an option is $42, the exercise price of the option is $40, the risk-free rate is 10% per annum, and the volatility is 20% per annum. a) What is the price on a European call? b) What is the price of a European put? c) Check the put-call parity is satisfied.A stock, priced at $ 100 at spot(t = 0), can go up to $ 120 or down to $ 90 next month following a binomial model. Price a European Call Option with maturity in three months and strike price $ 100. The monthly interest rate is 1% (consider monthly steps).A put option that expires in six months with an exercise price of $65 sells for $4.45. The stock is currently priced at $61, and the risk-free rate is 3.9 percent per year, compounded continuously. What is the price of a call option with the same exercise price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) X Answer is complete but not entirely correct. Call price $ 1.68 X