A call option has a strike price of 30 in dollars, and a time to expiration of 0.1 in years. If the stock is trading for 85 dollars, N(d1) = 0.5, N(d2) = 0.4, and the risk free rate is0.04, what is the value of the call option?
Stock Price (S) =85
Strike Price (E) =30
C = S * N(d1) – E × e^(–Rt )× N(d2)
Value of Call option =85*0.5-30*exp(-0.04*0.1)*0.4=30.55
A call option has a strike price of 30 in dollars, and a time to expiration...
4. A call option currently sells for $7.75. It has a strike price of $85 and seven months to maturity. A put with the same strike and expiration date sells for $6.00. If the risk-free interest rate is 3.2 percent, what is the current stock price? 5. Suppose you buy one SPX call option contract with a strike of 1300. At maturity, the S&P 500 Index is at 1321. What is your net gain or loss if the premium you...
A stock's current price is $72. A call option with 3-month maturity and strike price of $ 68 is trading for 6, while a put with the same strike and expiration is trading for $20. The risk free rate is 2%. How much arbitrage profit can you make by selling the put and purchasing a synthetic put? (Provide your answer rounded to two decimals.) You have purchased a put option for $ 11 three months ago. The option's strike price...
A European call option has a strike price of $20 and an expiration date in six months. The premium for the call option is $5. The current stock price is $25. The risk-free rate is 2% per annum with continuous compounding. What is the payoff to the portfolio, short selling the stock, lending $19.80 and buying a call option? (Hint: fill in the table below.) Value of ST Payoff ST ≤ 20 ST > 20 How much do you pay...
Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.15. The market price of the underlying stock is $46.24, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. 1. The price of a put option on the same underlying stock with a strike...
Consider a six-month call option written on €100,000 with a strike price of $1.00 = €1.00. The current exchange rate is $1.25 = €1.00; The U.S. risk-free rate is 5% over the period and the euro-zone risk-free rate is 4%. Assume that N(d1)=0.9989, and N(d2)=0.9985. What is the option value using the Black-Scholes model? The answer is $25005 How do i get that?
You bought Stock A at a purchase price of: Call option strike price: Option expiration date: Price of call option: $25 $35 June 30, 2020 $5 Stock goes up to $50 Stock goes down to $5 A. Profit/Loss on stock if sell now B. Profit/Loss on call option if sell now All other things being equal, would you expect the price of the call option to be higher or lower than $5 for a stock that is identical to Stock...
Stock price: $48 Exercise price : 46 Time to expiration: 1 year Stock price variance: 0.40 per year Risk-free interest rate (compounded continuously) 5% per year A) at what price should a European call option with the above characteristics sell (Note: when calculating N(d1) and N(d2). please carry your estimates out to 4 digits B) Is this call option in the money, at the money, or out of the money. C) At what price should the corresponding put option sell?
A call option has a premium of $0.60, a strike price of $40, and 3 months to expiration. The current stock price is $39.60. The stock will pay a $0.80 dividend two months from now. The risk-free rate is 3 percent. What is the premium on a 3-month put with a strike price of $40? Assume the options are European style.
3. What is the time value of a call option costing $6 with a strike price of $32 and a spot price of $36? 4. What is the risk-free arbitrage profit available if a one-year option pair has a strike price of $60, a spot price of $62, a call premium of $5, a put premium of $2, and a risk-free rate of 4%?
14. A call option has a premium of $0.60, a strike price of $40, and 3 months to expiration. The current stock price is $39.60. The stock will pay a $0.80 dividend two months from now. The risk-free rate is 3 percent. What is the premium on a 3-month put with a strike price of $40? Assume the options are European style. Page 4