Today a stock is $100, and a call option on this stock with a year to expiration and a $120 strike price is trading with a $6.06 premium. The risk-free rate is 10%. What is the premium of a put option on the stock with the same strike and expiration? $1.28 $6.06 $7.22 $15.15
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- Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?The current price of a stock is $33, and the annual risk-free rate is 6%. Acall option with a strike price of $32 and with 1 year until expiration has acurrent value of $6.56. What is the value of a put option written on the stockwith the same exercise price and expiration date as the call option?Assume a stock price is P120, and in next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6%. A call option on this stock has an exercise price of P130. What is the chance that the stock price will rise? a. 93% b. 87% c. 50% d. 94%
- A call option is currently selling for $4.60. It has a strike price of $60 and three months to maturity. A put option with the same strike price sells for $7.20. The risk-free rate is 6 percent and the stock will pay a dividend of $2.10 in three months. What is the current stock price?A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. c. Calculate the fair price for a 1 year European put option with an exercise price of $95. d. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. e. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). f. Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work using excelSuppose that currently, stock BVC is trading at $100 per share. A put option with a strike price of $120 that expires in one year is selling at $11.12. What is the profit to a trader who buys this put option, assuming that in one year the stock price of BVC is $125
- The current price of a stock is $55. In 1 year, the price will be either $50or $65. The annual risk-free rate is 5.5%. The stock has an exercise price of $60 and expiresin 1 year.a. Find the range of values for the ending stock price and the call option at the option’sexpiration in 1 year.b. Equalize the range of payoffs for the stock and the option.c. Create a riskless hedged investment. What is the value of the portfolio in 1 year?d. What is the cost of the stock in the riskless portfolio?e. What is the present value of the riskless portfolio?f. From your answers in parts d and e, what is the value of the firm’s call option?A stock is selling today for $110. The stock has an annual volatility of 64 percent and theannual risk-free rate is 7 percent.a. Calculate the fair price for a 1-year European call option with an exercise price of $95.b. Calculate how much the current stock price would need to change for the purchaser ofthe call option to break even in one year.c. Calculate the fair price for a 1 year European put option with an exercise price of $95A stock trades today at $73.14. (a) Write down the intrinsic value of a call option with strike price K = 72.50. (b) Assuming that the option in (a) expires three months from now and that the risk-free interest rate is 4.06% per annum, find a theoretcal lower bound for the price of the option (to the nearest cent). (c) Suppose that the price of the call option (with strike price and expiration date as above) is $1.82. Find the no-arbitrage price for a European-style put option with the same strike price and expiration date.
- A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. a. Calculate the fair price for a 1 year European call option with an exercise price of $95. b. Calculate how much the current stock price would need to change for the purchaser of the call option to break even in one year. c. Calculate the fair price for a 1 year European put option with an exercise price of $95. d. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. e. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). f. Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work using excelEstimate the "Rho" of the following option. Assume that there are 252 days in a trading year and thus exactly 6-months until expiration means 126 trading days until expiration. The option is a call option. The stock is trading at $1,000. The option has exactly 6-months until expiration. The option strike price is $1,050. The risk-free rate is 3%. The stock pays no dividends. Our best estimate of the stock's volatility is 40% annualized. Group of answer choices $.55 $1.12 $1.78The current price of a non-dividend paying stock is $60. Use a two-step tree to value an American put option on the stock with a strike price of $66 that expires in 2 years. Each step is 12 months, the risk free rate is 5% per annum, and the volatility is 30%. Which of the following is the closest to the option price? O $8.91 O $11.41 O $9.91 O $12.41