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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?
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- A call option is currently selling for $4.2. It has a strike price of $85 and three months to maturity. The current stock price is $87, and the risk-free rate is 5.7 percent. The stock will pay a dividend of $1.3 in two months. What is the price of a put option with the same exercise price?A stock is currently selling for $39. Over the next two periods, the stock will move up by a factor of 1.29 or move down by a factor of 0.53 each period. A call option with a strick price of $50 is available. If the risk-free rate of interest is 3.2 percent per period, what is the value of the call option?A stock is currently selling for $60. Over the next two periods, the stock will move up by a factor of 1.15 or down by a factor of .87 each period. A call option with a strike price of $60 is available. If the risk-free rate of interest is 3.2 percent per period, what is the value of the call option?
- A call option is currently selling for $5.00. It has a strike price of $85 and ten months to maturity. A put option with the same strike price sells for $8.10. The risk-free rate is 4.6 percent and the stock will pay a dividend of $2.60 in three months. What is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.)A stock is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?A stock has a current price of $67. An option on this stock that expires in six months has an exercise price of $65. The stock will pay a dividend of $5 in three months. Assume an annualized volatility of 30% and a continuously compounded risk - free rate of 5% per annum. Use the Black - Sholes - Merton model to price this option. 1) Suppose the option is a European put. Calculate the value of the put. 2) Suppose this option is an American call. Use Black's approximation to calculate the value of this call.
- A stock is currently priced at $74 and will move up by a factor of 1.20 or down by a factor of .80 over the next period. The risk-free rate of interest is 4.2 percent. What is the value of a call option with a strike price of $75?A stock with a current price of $20 will either move up to $22 or down to $18 over the next period. The risk-free rate of interest is 2.45 percent. What is the value of a call option with a strike price of $20?A call option is currently selling for $5.2. It has a strike price of $40 and five months to maturity. The current stock price is $42, and the risk-free rate is 5.4 percent. The stock will pay a dividend of $1.5 in two months. What is the price of a put option with the same exercise price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Price of a put option
- 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 excelThe current price of a stock is $20, and at the end of one year its price will be either $22 or $18. The annual risk-free rate is 2.0% (use daily compounding with 365 days/year), based on daily compounding. A 1-year call option on the stock, with an exercise price of $19, is available. Based on the binominal model, what is the option's value?(Please Show Work)ABC 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.