Call options with a strike price of $65.00 and an expiration of two months were written when the underlying stock was trading at $66.53. Over the following month, the underlying stock volatility was 30.82% even though the implied volatility remained constant at 49.50%. The continuously compounded risk free rate is 4.20%. The options currently have one month until expiration and the underyling stock is now trading at $72.60. What is the option's current market price? Report your answer without a dollar sign to four decimal places.
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- A stock currently trades for $120 per share. Call options on the stock are available with a strike price of $125. The options expire in one month. The annualized risk free rate is 3%, and the expected volatility (annual) for the stock is 35%. Use the Black-Scholes option pricing model to calculate the price of the call option.On a particular day, the September S&P 500 stock index futures was priced at 960.50. The S&P 500 index was at 956.49. The contract expires 73 days later. Assuming continuous compounding, suppose the risk-free rate is 5.96 percent and the dividend yield on the index is 2.75 percent. Is the futures overpriced or underpriced? Assuming annual compounding, suppose the risk-free rate is 5.96 percent and the future value of dividends on the index is $5.27. Is the futures overpriced or underpriced?The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices. Calls Puts Strike March June March June 45 6.84 8.41 1.18 2.09 50 3.82 5.58 3.08 4.13 55 1.89 3.54 6.08 6.93 Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated. What is the cost of the box spread if we are constructing a long box spread using the June 50 and 55 options? A. $76 B. $484 C. $2,018 D. $500
- The stocks of Cee Mobile Limited is currently trading at $73 each. The call option on the company’s stock has an exercise price of $70, with fifty (50) days remaining to expiration. It is assumed that the yield on treasury bills is currently 2%, while the volatility of the stock price is estimated as being 35%. a. Using the Black-Scholes-Merton (BSM) model, calculate the value of the Call option, given the above parameters. Show all relevant workings. b. Of the value computed, how much is the intrinsic value and the time value of the Call option? c. Using the BSM model and the information given above, calculate the value of the Put option on the stock, with a similar strike price and days to expiration.The stocks of Cee Mobile Limited is currently trading at $73 each. The call option on thecompany’s stock has an exercise price of $70, with fifty (50) days remaining to expiration. It isassumed that the yield on treasury bills is currently 2%, while the volatility of the stock price isestimated as being 35%.Required:i. Using the Black-Scholes-Merton (BSM) model, calculate the value of the Call option, given theabove parameters. Show all relevant workings. ii. Of the value computed, how much is the intrinsic value and the time value of the Call option? iii. Using the BSM model and the information given above, calculate the value of the Put optionon the stock, with a similar strike price and days to expirationA stock currently trades at $40, and the volatility of its return is 10%. The continuously compounded rate of interest is 12%. Consider a call option struck at $45, with 75 days to expiration (recall that there are 251 trading days in one year). a) What is the price of the option (rounded to the nearest cent)? Answer = $ . b) What is the option's delta (rounded to four decimal places)? Answer = . c) Use your answer from (b) to estimate the value of the option tomorrow, assuming the stock is trading at $40.95 at that time? Answer = $ . d) What is the exact value of the option tomorrow, assuming the stock is trading at $40.95 at that time? Answer = $ . [Note: Use software to compute the values of the normal CDF, not the table.]
- Give typing answer with explanation and conclusion The stock of Nugent Nougats currently sells for $46 and has an annual standard deviation of 47 percent. The stock has a dividend yield of 5.6 percent and the risk-free rate is 5.6 percent. What is the value of a call option on the stock with a strike price of $42 and 44 days to expiration?The current value of BSE SENSEX is 10000 and the annualized dividend yield on the index is 5%. A six-month-futures contract on the BSE SENSEX is quoted at 10200. If the return on Treasury Bills available in the market for the same maturity is 5% and 25 % of the stocks included in the index will pay dividends during the next six months, you are required to a. Determine whether index futures is overpriced or under priced. b. Show risk-free arbitrage profits, if any, available to the investor irrespective of the value of the SENSEX on maturity with detail workings, assuming that the SENSEX on maturity can be i. 9900 orii. 10250 Solve fast pleaseABC stock is currently trading at R70 per share. A dividend of R1 is expected after three monthsand another one of R1 after six months. A European call option on ABC stock has a strike priceof R65 and 8 months to maturity. Given that the risk-free rate is 10% and the volatility is 32%,compute the price of the option.
- A non-dividend-paying stock is currently priced at $16.40. The risk-free rate is 3 percent and a futures contract on the stock matures in six months. What price should the futures be?The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $40 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $40 is $8.49. Required: If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $40 if it is at the money? (The stock pays no dividends.) What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now?The common stock of the CGI Inc. has been trading in a narrow range around $35 per share for months, and you believe it is going to stay in that range for the next three months. The price of a three-month put option with an exercise price of $35 is $2, and a call with the same expiration date and exercise price sells for $3. Suppose you write a strap ( = write 2 calls and write 1 put with the same strike price) and the stock price winds up to be $37 at contract expiration. What was your net profit on the strap? A. $200 B. $300 C. $400 D. $500 E. $700