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European put option with strike Find the expected gain (or loss) for a holder of a...
Consider a European put option on the stock of XYZ, with a strike price of $30...
Consider a European put option on the stock of XYZ, with a strike price of $30 and two months to expiration. The stock pays continuous dividends at the annual continuously com- pounded yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either $18 per share or $29 per share. Use the one-period binomial option pricing to find...
Find the fair value of an European call option and an American put option using the...
Find the fair value of an European call option and an American put option using the incoherent and coherent binomial option tree if the underlying asset pays dividend of 4 PLN in one and half month. The initial stock price is 60 PLN, the strike price of 58 PLN is expiring at the end of the third month, the continuously compounded risk-free interest rate is 10% per annum, and the stock volatility is 20%.
Investor A sells a put option for $6.60, and investor B sells a call option for...
Investor A sells a put option for $6.60, and investor B sells a call option for $8.79. Both options have the same strike price of $45 and can be exercised in 15 months. Suppose the stock price on the exercise date is $50, and the continuously compounded interest rate is 4%. a) What is the total profit of investor A on the exercise date? Answer = $ b) What is the total profit of investor B on the exercise date?...
There is a European put option in two months. The stock price is 58,u=0.2239 ,d=-0.183.The option...
There is a European put option in two months. The stock price is 58,u=0.2239 ,d=-0.183.The option has a strike price of 65, and the risk-free interest rate is a 5 percent annual percentage rate. What is the price of the put option today using one month steps?
Draw a diagram showing the profit and loss of a natural gas put option (for March...
Draw a diagram showing the profit and loss of a natural gas put option (for March 2018) with a strike price of $3.10/MMBtu and the premium of $0.2. Make sure to show how the profit/loss situation depends on the gas price at the time of the option maturity. Under what circumstances will the holder of the option make a gain? Under what circumstances will the option be exercised?
The price of a European call option on a non-dividend-paying stock with a strike price of...
The price of a European call option on a non-dividend-paying stock with a strike price of $50 is $6. The stock price is $51, the continuously compounded risk-free rate (all maturities) is 6% and the time to maturity is one year. What is the price of a one-year European put option on the stock with a strike price of $50? $2.09 $7.52 $3.58 $9.91
The potential gain for a holder of a naked call option on a stock is _________....
The potential gain for a holder of a naked call option on a stock is _________. Multiple Choice equal to the strike price plus the premium Incorrect larger with a higher strike price unlimited larger with a higher stock price A put option on Brocklehurst Corp. has an exercise price of $30. The current stock price of Brocklehurst Corp. is $32. The put option is _________. Multiple Choice at the money in the money Incorrect out of the money Not...
Question 1 - 35 Points Consider a European put option on a non-dividend-paying stock where the...
Question 1 - 35 Points Consider a European put option on a non-dividend-paying stock where the stock price is $15, the strike price is $13, the risk-free rate is 3% per annum, the volatility is 30% per annum and the time to maturity is 9 months. Consider a three-step troc. (Hint: dt = 3 months). (a) Compute u and d. (b) Compute the European put price using a three-step binomial tree. (c) If the option in (b) is American instead...
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is...
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.
A European call option and put option on a stock both have a strike price of...
A European call option and put option on a stock both have a strike price of $45 and an expiration date in six months. Both sell for $2. The risk-free interest rate is 5% p.a. The current stock price is $43. There is no dividend expected for the next six months. a) If the stock price in three months is $48, which option is in the money and which one is out of the money? b) As an arbitrageur, can...
Consider a European put option on the stock of XYZ, with a strike price of $30 and two months to expiration. The stock pays continuous dividends at the annual continuously com- pounded yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either $18 per share or $29 per share. Use the one-period binomial option pricing to find...
Investor A sells a put option for $6.60, and investor B sells a call option for $8.79. Both options have the same strike price of $45 and can be exercised in 15 months. Suppose the stock price on the exercise date is $50, and the continuously compounded interest rate is 4%. a) What is the total profit of investor A on the exercise date? Answer = $ b) What is the total profit of investor B on the exercise date?...
Question 1 - 35 Points Consider a European put option on a non-dividend-paying stock where the stock price is $15, the strike price is $13, the risk-free rate is 3% per annum, the volatility is 30% per annum and the time to maturity is 9 months. Consider a three-step troc. (Hint: dt = 3 months). (a) Compute u and d. (b) Compute the European put price using a three-step binomial tree. (c) If the option in (b) is American instead...
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.
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