Ryman Healthcare stock is trading at $13. Every six months, they pay a 15 cent dividend. The next dividend is due in two months time. Interest rates are 1% (with continuous compounding), and the shares have volatility 12%. Price a nine month American call option with strike price $13.50, using Black’s approximation
Ryman Healthcare stock is trading at $13. Every six months, they pay a 15 cent dividend....
A stock that does not pay dividend is trading at $50. A European call option with strike price of $60 and maturing in one year is trading at $10. An American call option with strike price of $60 and maturing in one year is trading at $15. You can borrow or lend money at any time at risk-free rate of 5% per annum with continuous compounding. Devise an arbitrage strategy. So I know that usually american calls are never exercised...
A stock currently trading at $115 pays a $4 dividend in three
months and nine months. An option on the stock with an exercise
price of $105 expires in ten months. Annualized yield for T-bill
for this option is 11% and annualized standard deviation
(volatility) of the continuously compounded return on the stock is
17% per annum.
14. A stock currently trading at $115 pays a $4 dividend in three months and nine months. An option on the stock...
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%...
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is 10%. What, to the nearest cent, is the value of a 6-month European call option on the stock with a strike price of $33?
XYZ stock is trading at $120 per share, and the company will not pay any dividends over the next year. Consider an XYZ European call option and a European put option, both having an exercise price of $124 and both maturing in exactly one year. The simple (annualized) interest rate for borrowing and lending between now and one year from now is 3% for each 6 month period (6.09% per year). Assume that there are no arbitrage opportunities. Is there...
Question 1 Assume Alpha Ltd is currently trading on the NYSE with a stock price of $65. The American one-year call option on the stock is trading at $20 with strike price of $65. If the one-year rate of interest is 10% p.a. (continuously compounding), is the call price free from arbitrage or is it too cheap/expensive, assuming that the stock pays no dividends? What if the stock pays a dividend of $5 in one year? Question 2 The current...
4) A nine-month European call option is written on a stock that provides a continuous dividend yield of 4%; the strike price is $110, the risk-free rate is 2% and the stock's volatility is 30%. Assume that the stock is currently selling for $115. What is the price of the call?
1) The current price of a stock is $15. In 6 months, the price will be either $18 or $13. The annual risk-free rate is 3%. Find the price of a call option on the stock that has a strike price of $14 and that expires in 6 months. (Hint: Use daily compounding.) Round your answer to the nearest cent. Assume a 365-day year. Do not round your intermediate calculations. 2) The current price of a stock is $20. In...
Problem 1. 1. Calculate the price of a six-month European put option on a non-dividend-paying stock with an exercise price of $90 when the current stock price is $100, the annualized riskless rate of interest is 3%, and the volatility is 40% per year. 2. Calculate the price of a six-month European call option with an exercise price on this same stock a non-dividend-paying stock with an exercise price of $90. Problem 2. Re-calculate the put and call option prices...
1. A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 10% or down by 10%. The risk-free rate is 8% per annum with continuous compounding. (a) What is the value of a one-year European call option with a strike price of $100? (b) What is the value of a one year European put option with a strike price of $100? (c) What is the value of a one-year...