A company stock whose current price is $192 is expected to either increase to $242 or decrease to $185 over the next nine months with equal probability. Compute the price of a nine-month at-the-money European put option. Use the fact that the riskless rate is 3.3% per year with continuous compounding. Express your answer with two decimals.
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A company stock whose current price is $192 is expected to either increase to $242 or decrease to $185 over the next nine months with equal probability. Compute the price of a nine-month at-the-money European put option. Use the fact that the riskless rate is 3.3% per year with continuous compounding. Express your answer with two decimals.
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- The current price of a non-dividend paying stock is $100. Every three months, it is expected to go up or down by 9% or 5%, respectively. The risk-free rate is 4% per year with continuous compounding. Compute the price of a European call option with strike price $98 and maturity six months written on the stock.Suppose that a stock price is currently 61 dollars, and it is known that at the end of each of the next two six-month periods, the price will be either 18 percent higher or 18 percent lower than at the beginning of the period. Find the value of a European put option on the stock that expires a year from now, and has a strike price of 64 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 10 percent.A stock is currently trading at $57 and we assume a three-period binomial tree model where each period the stock can either increase by 13%, or fall by 15%. Each step in the tree is 3 months. The interest rate is 2.0% per year (continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals
- The current price of a stock is $30. Over each of the next two three-month periods it is expected to go up by 5% or down by 5%: The risk-free interest rate is 12% per annum with continuous compounding. What is the value of a six-months European put option with a strike price of $32? Please solve by hand and show all the steps of answer in order me to understand it at best :)Consider an underlying stock worth $100 today and will either increase by 25 % or decrease by 20 % in value in six months. In the following six months, it will either increase by 25 % or decrease by 20 %. The risk-free rate semi-annually is 1 %. a ) What is the price of a European put with a strike price of $ 105? b ) What is the price of an American put with a strike price of $ 105?Give typing answer with explanation and conclusion A stock price is currently $40. Over each of the next two three-month periods it is expected to go up by 10% or down by 10%. The risk-free rate is 12% per annum with continuous compounding. What is the value of a six-month American put option with a strike price of $42? (Round your answer to the 4 decimal places)
- The spot price of a non-dividend paying stock is recorded as ₺80 at the close of the day. You estimatethat this price is equally likely to go up by 11.1% or go down by 10% every two months and observe thatthe continuously compounded annual risk-free rate is 20% per year across all maturities. Use a three-stepbinomial tree and the risk-neutral valuation approach to compute the theoretical value of a European putoption written on this stock that has a strike price of ₺75 and exactly six months until its expiration date.Suppose that a stock price is currently 35 dollars, and it is known that four months from now, the price will be either 51 dollars or 29 dollars. Find the value of a European call option on the stock that expires four months from now, and has a strike price of 39 dollars. Assume that no arbitrage opportunities exist and a risk-free interest rate of 10 percent.Answer =dollars.A stock price is currently $60. Over each of the next two six-month periods, it is expected to go up by 6% or down by 6%. The risk-free interest rate is 5% per year with semi-annual compounding. Part I. Use the two-step binomial tree model to calculate the value of a one-year European put option with an exercise price of $61. Part II. Discuss how you can hedge risk when you initially write the put option? Part III. Assume six months have passed, discuss how you can hedge risk when you realize that the stock price is $63.6?
- A stock price is currently $50. Over each of the next two three-month periods it is expected to go up by 6% or down by 5%. The risk-free rate is 5% per annum with continuous compounding. What is the value of a six-month European call option with a strike price of $51? (Round your answer to the 4 decimal places) Consider the setting of the previous problem but now find the value of a six-month European put option with a strike price of $51. (Round your answer to the 4 decimal places)A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European put option with a strike price of $95. The risk-free interest rate is 8% per annum, compounded continuously. What is the value of the option if it is American?The spot price of a non-dividend paying stock is recorded as ₺100 at the close of the day. You estimate that this price is equally likely to go up by 11.1% or go down by 10% every two months and observe that the continuously compounded annual risk-free rate is 20% per year across all maturities. Use a multistep binomial tree together with the risk-neutral valuation approach to compute the theoretical price of a European put option written on this stock with a strike price of ₺80 and exactly six months until expiration