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- Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)Please answer below three requirements: Question- The current price of a non-dividend paying stock is $30. Use a two-step tree to value a put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, and in each step the stock price either moves up by 10% or moves down by 10%. Suppose that the risk free rate is 8% per annum with continuous compounding. 1) What should be the EUROPEAN put option price today? 2) If the option was an AMERICAN put option, what should be the price today? 3) If the volatility was given as 30%, how would the AMERICAN put option price change?Calculate the price of a 6-month European call option on a non-dividend paying stock with a strike price of $50 when the current stock price is $50, the risk-free rate is 10% per annum, and the volatility is 30% per annum Give typing answer with explanation and conclusion
- The market price of a one-year European call option is $9.243, written on a stock that is currently selling for $70. The stock is expected to go ex‑dividend in 6 months on a declared dividend of $5. The exercise price of the call is $80 and the current riskless rate of return is 3% per annum. What is the volatility (standard deviation) implied by the market price of this call option and an appropriate option pricing model allowing for dividends? Your answer should be within 2% of the correct solution (i.e., the correct σ ± .02).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. $1.28What would be the price of a two-month European put option on a non-dividend-paying stockwhen the stock price is $68.50, the strike price is$70, and the risk-free interest rate is 5% per annum?Assume a volatility of 60% for this stock.
- Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. a) What is the price of the option if it is a European put?Consider a European put and a European call option which are both written on a non-dividend paying stock, have the same strike price K = £80 and expire in T = 2 months. These options are trading for p = £21 and c = £30.80, respectively. The underlying stock price is S0 = £90. The continuously compounded risk-free rate of interest is r = 10% per annum. What is the present value of the arbitrage profit? Please explain your answer and show your workings. In your response, please show all cash flows (both today and at expiration) and explain why this is an arbitrage (i.e. risk-less) profit.The current price of a non-dividend paying stock is $50. Use a two-step tree to value a European put option on the stock with a strike price of $50 that expires in 12 months. Each step is 6 months, the risk free rate is 5% per annum, and the volatility is 50%. What is the value of the option according to the two-step binomial model. Please enter your answer rounded to two decimal places (and no dollar sign).
- What is the lower bound for the price of a 7-month European call option on a dividend-paying stock when the stock price is $38.3, the strike price is $40, the risk-free interest rate is 1.1% per annum, and the stock is expected to pay a dividend of $2.56 in three months? Report your answer in dollars and cents.Consider a two-period binomial model in which a non-dividend-paying stock currently trades at £35. Over each of the next two six-month periods, the share price is expected to go up by 12% or down by 9%. The risk-free interest rate is 6% per annum with continuous compounding Calculate the value of a one-year American put option with a strike price of £36, using a two-period binomial tree method.A stock has a current price of $106. An option on this stock that expires in seven months has an exercise price of $105. The stock will pay a dividend of $4.50 in four months. Assume an annualized volatility of 25% and a continuously compounded risk-free rate of 6% per annum. Use the Black-Sholes-Merton model to price this option. (In all your calculations, round the numbers to 4 decimal places.) 1) Suppose the option is a European put. Calculate the value of the put. $ Answer
