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perties of Stock Options - Practice problems.pptx (537 KB) Page 7 of 7 0 - ZOOM...
Consider European call and pit on a non dividend paying stock; both for T=1yr. The stock...
Consider European call and pit on a non dividend paying stock; both for T=1yr. The stock price is $45/share and k=$45/share for both options. The call premium is equal to the put premium c=p= $7/share. The annual risk-free rate is 10%. Use the put-call parity and show that there exist an arbitrage opportunity. Also, show the complete table of cash flows and P/L at the options expiration of a strategy that will create the arbitrage profit in Q2.
On October 2, 2018, Tesla stock was trading $305.65. There are options on Tesla stock, Below...
On October 2, 2018, Tesla stock was trading $305.65. There are options on Tesla stock, Below are the yarigble inputs you require. Using the Black-Scholes-Merton model and Solyer, solve for the implied volatility that causes the option to be valued at $44.25. The appropriate risk free rate c.c. is 0.85%. These are European Options. Underlying So Call or Put Strike 306.65 Put 300.00 10/2/18 3/15/19 Today Maturity Time to Expiration Volatility Risk Free Rate 59.52% 0.85% #N/ A #N/A #N/A...
(a) State the Black-Scholes formulas for the prices at time 0 of a European call and put options on a non-dividend-paying stock ABC
2. (a) State the Black-Scholes formulas for the prices at time 0 of a European call and put options on a non-dividend-paying stock ABC.(b) 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 20% per annum, and the time to maturity is 5 months. What is the price of the option if it is a European call?
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
Question 1 a. A stock price is currently $30. It is known that at the end...
Question 1 a. A stock price is currently $30. It is known that at the end of two months it will be either $33 or $27. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European put option with a strike price of $31? b. What is meant by the delta of a stock option? A stock price is currently $100. Over each of the next two three-month periods it is...
Question 7: 1. Both a call option and a put option are currently traded on stock...
Question 7:
1. Both a call option and a put option are currently traded on stock AXT. Both options have a strike price of $90 and maturity (T) of three months. The call premium (Co) is $2.75, the put premium (Po) is $4.12, and the underlying stock price (So) is $89.50. Assume that you trade one contract that has 100 shares when you calculate profit or loss. What will be your profit (or loss) if you take a long position...
Let S = {S(t), t > 0) denote the price of a continuous dividend-paying stock. The prepaid forward price for delivery...
Let S = {S(t), t > 0) denote the price of a continuous dividend-paying stock. The prepaid forward price for delivery of one share of this stock in one year equals $98.02. Assume that the Black-Scholes model is used for the evolution of the stock price. Consider a European call and European put option both with exercise date in one year. They have the same strike price and the same Black-Scholes price equal to $9.37. What is the implied volatility...
Q8-Part I (6 marks) The current price of a non-dividend-paying stock is $42. Over the next...
Q8-Part I (6 marks) The current price of a non-dividend-paying stock is $42. Over the next year it is expected to rise to-$44. or fall to $39. An investor buys put options with a strike price of $43. To hedge the position, should (and by how many) the investor buy or sell the underlying share (s) for each put option purchased? (6 marks) 08-Part II (9 marks) The current price of a non-dividend paying stock is $49. Use a two-step...
Question 7: Consider a European call option and a European put option on a non dividend-paying...
Question 7: Consider a European call option and a European put option on a non dividend-paying stock. The price of the stock is $100 and the strike price of both the call and the put is $103, set to expire in 1 year. Given that the price of the European call option is $10.57 and the risk-free rate is 5%, what is the price of the European put option via put-call parity? Question 8: Suppose a trader buys a call...
please type your answer 4. Consider a portfolio consisting of 6 stocks and 10 put options...
please type your answer
4. Consider a portfolio consisting of 6 stocks and 10 put options on the stocks. The current stock price is So = 100 and the stike price of the options is X = 100. The stock price can take on only two values at maturity T given by Su = 120 and Sd = 90. The risk-free rate is given by 5%. (a) What is the payoff at maturity of the portfolio? (b) Calculate the "Delta"...
On October 2, 2018, Tesla stock was trading $305.65. There are options on Tesla stock, Below are the yarigble inputs you require. Using the Black-Scholes-Merton model and Solyer, solve for the implied volatility that causes the option to be valued at $44.25. The appropriate risk free rate c.c. is 0.85%. These are European Options. Underlying So Call or Put Strike 306.65 Put 300.00 10/2/18 3/15/19 Today Maturity Time to Expiration Volatility Risk Free Rate 59.52% 0.85% #N/ A #N/A #N/A...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
Question 1 a. A stock price is currently $30. It is known that at the end of two months it will be either $33 or $27. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European put option with a strike price of $31? b. What is meant by the delta of a stock option? A stock price is currently $100. Over each of the next two three-month periods it is...
Question 7:
1. Both a call option and a put option are currently traded on stock AXT. Both options have a strike price of $90 and maturity (T) of three months. The call premium (Co) is $2.75, the put premium (Po) is $4.12, and the underlying stock price (So) is $89.50. Assume that you trade one contract that has 100 shares when you calculate profit or loss. What will be your profit (or loss) if you take a long position...
Q8-Part I (6 marks) The current price of a non-dividend-paying stock is $42. Over the next year it is expected to rise to-$44. or fall to $39. An investor buys put options with a strike price of $43. To hedge the position, should (and by how many) the investor buy or sell the underlying share (s) for each put option purchased? (6 marks) 08-Part II (9 marks) The current price of a non-dividend paying stock is $49. Use a two-step...
please type your answer
4. Consider a portfolio consisting of 6 stocks and 10 put options on the stocks. The current stock price is So = 100 and the stike price of the options is X = 100. The stock price can take on only two values at maturity T given by Su = 120 and Sd = 90. The risk-free rate is given by 5%. (a) What is the payoff at maturity of the portfolio? (b) Calculate the "Delta"...
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