Use the information below to calculate today's European call price in a two-step binomial tree. [round to two decimal places] The stock's price S is $53. After three months, it either goes up and gets multiplied by the factor U = 1.15, or it goes down and gets multiplied by the factor D = 1/U. Options mature after T = 0.5 year and have a strike price of K = $50. The continuously compounded risk-free interest rate r is 1.9 percent per year
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- 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 decimalsConsider a two-period binomial tree model with u = 1.1 and d = 0.90. Suppose the current price of the stock is $50 and the nominal interest rate is 2%. What is the value of an American put with a strike price of $60 that will expire in 3 months? Use at least four decimal places for those questions that require a numerical answer.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
- 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.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?Consider a two - period binomial model, where each period is 6 months. Assume the stock price is $75.00, \sigma 0.35, and r = 0.05. An American call option with a strike price of $80 would be exercised early at what dividend yield? () (A) 5.0% (B) 7.0 % (C) 9.0% (D) Never exercise early
- I. Find the value (using Binomial Tree) of a European style call option on an underlying stock which is currently selling at RM10 with the following assumptions:• The call option on the stock has a RM10 exercise price and one year maturity;• Change in price three times during the one year;• The percentage change in the stock’s price is 10%, that is, it can either go up or down by a fixed 10%;• The probability of an up is 60% and down movement is an equal 40%; and• Interest rate is 8% per annum use excel to show the answerConsider a stock in two periods (two years). The stock price goes up by 30% or down by 10%in each period. Current stock price is $100. There is a European put option on the stock withexercise price $110 and time to maturity of two years. The interest rate in each period is 6%. Inthe template, Date 0 denotes today, Date 1 denotes the end of year 1 and Date 2 denotes the endof year 2. Use the two-period binomial tree model and discrete discounting to find the put optionprice on Date 0.Assume you want to price a call on a stock that has the price of $35 today. The option matures in one year and has the strike price of $34. Assume the stock price is equally likely to go up by 10% or down by 10% in one year, and you plan to use a one-step binomial tree to price the call option. What is the hedge ratio (in decimal format, use 5 decimal places)?
- 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.)A stock price is currently $50. Over each of the next two three-month periods it is expected to go up by 10% with a probability of 50% or down by 5% with a probability of 50%. The risk-free interest rate is 4% per annum with continuous compounding. What is the value of a six-month European call option with a strike price of $50? Use binomial tree method to solve this problemCalculate the price of a put option on stock using a three-time-step binomial tree model. We know that the current stock price is $70, the strike price is $73, the volatility of the stock is 25%, the maturity of the option is 3 years, and the annual effective risk-free rate is 10%, yearly compounding. How much does this put option worth today if it is American? According to the Put-Call Parity, what should be the price of the European call option that is written on the same stock with the same expiration and the same strike price?