. A one-month European put option on a non-dividend stock is currently selling for 2.50$. The stock price is 47$, the strike price is 50$, the interest rate r is 6% per annum. Describe in details if there are any arbitrage opportunities.
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- Crisp Cookware’s common stock is expected to pay a dividend of $3 a share at the end of this year (D1 = $3.00); its beta is 0.8. The risk-free rate is 5.2%, and the market risk premium is 6%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $40 a share. Assuming the market is in equilibrium, what does the market believe will be the stock’s price at the end of 3 years (i.e., what is )?Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)What is the lower bound for the price of a 7-month European call option on a dividend-paying stock when the stock price is $38.3, the strike price is $40, the risk-free interest rate is 1.1% per annum, and the stock is expected to pay a dividend of $2.56 in three months? Report your answer in dollars and cents.
- Assume a stock has a value of $100. The stock is expected to pay a dividend of $2 per share at year-end. An at-the-money European-style put option with one-year maturity sells for $7. If the annual interest rate is 5%, what must be the price of a 1-year at-the-money European call option on the stock?Give typing answer with explanation and conclusion What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.A 3-month European put option on a non-dividend-paying stock is currently selling for $3.80. The stock price is $48.0, the strike price is $51, and the risk-free interest rate is 6% per annum (continuous compounding). There is no arbitrage opportunity in this scenario. Is this true?
- What is the price of a European put option on a non-dividend paying stock when thestock price is K69, the strike price is K70, the risk-free rate is 5% per annum, thevolatility is 35% per annum, and the time to maturity is 6 months?The prices of European call and put options on a non-dividend-paying stock with 12 months to maturity, a strike price of $120, and an expiration date in 12 months are $20 and $5, respectively. The current stock price is $130. What is the implied risk-free rate? 8.62 % 9.05 % 5.85 % 4.26 %The current price of a non - dividend paying stock is $617 and the annual standard deviation of the rate of return on the stock is 32%. A European call option on the stock expires in 0.5 years. Its strike price is $630. The risk - free rate is 2% (continuously compounded) What should be the price (premium) of the call option?
- A one-month European call option on a non-dividend-paying stock is currently selling for $1. The stock price is $47, the strike price is $50, and the risk-free rate is 6% per annum (continuously compounded). What is the time value of a one-month European put on the same stock with the same strike price? A. $3.00 B. $3.75 C. $0.75 D. $0.00The price of a stock, which agreed to pay 2$ dividends per share, is $45 and the strike price of a one-year European call option on the stock is $43. The risk-free rate is 7% (continuously compounded). Which of the following is a lower bound for the option? option 1 - $5.98 option 2- $2.91 option 3 - $2.54 option 4 -$4.14Suppose a non-dividend paying stock is trading at $175 per share and has a volatility of 20%. What is the fair price of a 3-month European call option with a strike price of $190 per share using 1 binomial period? Assume the risk-free rate is 1%. Round to the nearest $0.01.