Write the Black-Scholes option price formula for non dividend paying stocks.
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Write the Black-Scholes option price formula for non dividend paying stocks.
In referring to the Black-Scholes formula for pricing a European put option on a dividend paying stock, which of the following statements are true? I. The put price increases as the strike decreases II. The put price increases as volatility increases III. The put price increases as the dividend decreases a) I only c) I and II e) I, II and III b) Il only d) II and III
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. Use the Black-Scholes-Merton formula. What is the price of the option if it is a European call? What is the price of the option if it is an American call? What is the price of the option if it is...
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?
Consider an option on a non-dividend paying stock when the stock price is $90, the exercise price is $98 the risk-free rate is 7% per annum, the volatility is 49% per annum, and the time to maturity is 9-months. a. Compute the prices of Call and Put option on the stock using Black & Scholes formula. b. Using above information, does put-call parity hold? Why?c. What happens if put-call parity does not hold?
Consider an option on a non-dividend-paying stock when the stock price is $67, the exercise price is $61, the risk-free rate is 0.5%, the market volatility is 30% and the time to maturity is 6 months. Using the Black-Scholes Model when necessary:Given: Two dividend payments $1.75 and $2.75, two months and five months from now.(v) Compute the price of the option if it is an American Call (In Excel & show formulas).
QUESTION # 10 Consider an option on a non-dividend paying stock when the stock price is $90, the exercise price is $98 the risk-free rate is 7% per annum, the volatility is 49% per annum, and the time to maturity is 9-months. a. Compute the prices of Call and Put option on the stock using Black & Scholes formula. b. Using above information, does put-call parity hold? Why?-dNCa) c. What happens if put-call parity does not hold? [Max. Marks =...
A non-paying dividend stock price is currently 40 US$. Over each of the next two three-month periods it is expected to go either up by 10% or down by 10%. The riskless interest rate is 12% per annum with continuous compounding. What is the value of a six-month European put option with a strike price of 42 US$? Given the information above find the relevant call and put price of that European non-paying dividend stock option using the Black-Scholes formula
Consider a European put option on a non-dividend-paying stock. The current stock price is $69, the strike price is $70, the risk-free interest rate is 5% per annum, the volatility is 35% per annum and the time to maturity is 6 months. a. Use the Black-Scholes model to calculate the put price. b. Calculate the corresponding call option using the put-call parity relation. Use the Option Calculator Spreadsheet to verify your result.
Exercise 6 Given that the price of a non-dividend-paying share is 23 PLN and has a volatility of 30% use the Black-Scholes model to determine the value of a call option that has an exercise price of 20 PLN and 91 days to expiry (3/12 of a year). The riskless rate of return is 10%. prce of he share 23 PLN volatility S0%
Exercise 6 Given that the price of a non-dividend-paying share is 23 PLN and has a volatility...
Use the Black-Scholes formula to price a call option for a stock whose share price today is $16 when the interest rate is 4%, the maturity date is 6 month, the strike price is $17.5 and the volatility is 20%. Find the price of the same option half way to maturity if the share price at that time is $17.