d) II & III
Put price should decrease with decreasing strike price has we are not getting a right sell at lower and lower price
Option prices increase as volatility of underlying increases
Put prices increase with increasing dividends because the ex-dividend price of stock decreases
In referring to the Black-Scholes formula for pricing a European put option on a dividend paying...
Problem 1: - Using the Black/Scholes formula and put/call parity, value a European put option on the equity in Amgen, which has the following characteristics. Expiration: Current stock price of Amgen: Strike Price: Volatility of Amgen Stock price: Risk-free rate (continuously compounded): Dividends: 3 months (i.e., 60 trade days) $53.00 $50.00 26% per year 2% None If the market price of the Amgen put is actually $2.00 per share, is the above estimate of volatility higher or lower than the...
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 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.
For a 3-month European put option on a stock: (1) The stock's price is 41. (ii) The strike price is 45. (iii) The annual volatility of a prepaid forward on the stock is 0.25. (iv) The stock pays a dividend of 2 at the end of one month. (v) The continuously compounded risk-free interest rate is 0.05. Determine the Black-Scholes premium for the option.
Derivatives Markets 3. You own a 6-month European put option on a XYZ Company's stock with a strike price of $100. The spot price of the stock is $102, it has a return volatility of 30% and currently pays no dividends. The continuously compounded risk free rate of interest is 3%. Using Black-Scholes you calculate the value of your put option to be $6.84. Now you have just learned the company is considering paying a one-time dividend in 3 months...
3.5 In the Black-Scholes option pricing model, value of an option decreases, all else equal, as it nears expiration. (True / False) 3.6 The Black-Scholes option pricing model assumes which of the following? a. Jumps in the underlying price b. Constant volatility of the underlying c. Possibility of negative underlying price d. Interest rate increasing as option nears expiration 3.7 Which Greek shows how sensitive option delta is to the price of the underlying asset? a. Vega b. Gamma c....
Write the Black-Scholes option price formula for non dividend paying stocks.
What is the price of a European put option on a non-dividend-paying stock when the 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 six months?
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...
What is the price of a European put option on a non-dividend paying stock when the 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 six months? Please give me step by step by step instructions.