A stock price is currently $40. It is known that at the end of 1 month it

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A stock price is currently $40. It is known that at the end of 1 month it will be either $44 or $36. The risk-free interest rate is 6% per annum with continuous compounding. What is the value of a 1-month European call option with a strike price of $38?

Q1. A stock price is currently $48. It is known that at the end of 1 month it will be either $52 or $46. The risk-free interest rate is 8% per annum with continuous compounding. What is the value of a 1-month European call option with a strike price of $50?

Q2. A stock price is currently $60. You predict that at the end of 6 months stock price will increase or decrease by 10%. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a 6-month European put option with a strike price of $60?

Q3. A stock price is currently $90. Over each of the next two 6-month periods it is expected to go up by 20% or down by 20%. The risk-free interest rate is 8% per annum with continuous compounding. What is the value of a 1-year European call option with a strike price of $90?

Q4. A stock price is currently $100. Over each of the next two 6-month periods it is expected to go up by 20% or down by 20%. The risk-free interest rate is 8% per annum with continuous compounding, what is the value of a 1-year European put option with a strike price of $100?

Q5. A stock price is currently $95. It is known that at the end of four months it will be either $90 or $100. The risk-free interest rate is 9% per annum with continuous compounding. What is the value of a four-month European put option with a strike price of $90?

Q6. A stock price is currently $70. Over each of the next two three-month periods it is expected to go up by 6% or down by 4%. The risk-free interest rate is 7% per annum with continuous compounding. What is the value of a six-month European call option with a strike price of $71?