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Stock price is $52. It is known that at the end of 6 months it will be $59 or $44.50. Risk-free rate of interest with cont. compounding is 9% per annum. What is the value of delta of a 3 month European put option on the stock with an exercise price of $46?
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- 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.)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 non-dividend paying stock is $100. Every three months, it is expected to go up or down by 9% or 5%, respectively. The risk-free rate is 4% per year with continuous compounding. Compute the price of a European call option with strike price $98 and maturity six months written on the stock.
- 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.A 6-month European put option on a stock with a strike price $63 is selling for $2, the current stock price is $65, and the stock will pay a dividend of $0.51 in 3 months. The 3-month risk-free rate is 8% per annum with quarterly compounding, and the 6-month risk-free rate is 10% per annum with semiannual compounding. What is the price of a 6-month European call option on the stock with the same strike price?A stock price is currently $50. It is known that at the end of the 6 month it will be either $55 or $65. The risk free interest rate is 10%pa with continuous compounding what is the value of 6 month European put option with strike price $50 ?
- A stock price is currently $30. It is known that at the end of two months it will be either $33 or $27. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European put option with a strike price of $31?Calculate the price of a three-month European put option on a non-dividend-paying stock with a strike price of $50 when the current stock price is $50, the risk-free interest rate is 10% per annum, and the volatility is 30% per annum.A stock price is currently $43 . It is known that at the end of one month it will be either $45 or $41 . The risk-free interest rate is 7% per annum with continuous compounding. What is the value of a one-month European call option with a strike price of $42 ?
- The price of a stock is currently $20. Over each of the next two three-month periods, the stock can go up by 10% or down by 10%. The risk free interest rate is 12% per annum with continuous compounding. (a) What is the current value of a six-month European put option with a strike price of $22? (b) What is the current value of a six-month American put option with a strike price of $22?There is a European put option on a stock that expires in two months. The stock price is $93 and the standard deviation of the stock returns is 68 percent. The option has a strike price of $101 and the risk-free interest rate is an annual percentage rate of 7 percent. What is the price of the put option today? Use a two-state model with one-month steps. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)A stock is currently $100. Over each of the next two six month periods it is annim with continuous compounding. What is the value of a one year European call option with a strike price of $90