The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is zero. An investor sells put options with a strike price of $32. What is the risk-neutral probability of the underlying hitting $36 and what is the value of each put option? Question 5Answer a. 0.4 and $3.6 b. 0.6 and $3.6 c. 0.6 and $1.6 d. 0.4 and $1.6
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- The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume the risk-free rate is zero. What is the initial value of the call option? Choose the right answer: a. $2 b. $3 c. $1.6 d. $2.4The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume the risk-free rate is zero. An investor sells put options with a strike price of $32. What is the price of each put option? O $3.6 O $1.6 O $2.4 О о O None of these KAMFOUNDEStock XYZ is currently trading at $75, and you are very bearish about the stock (you believe that the stock price is going to drop within the next two months). What action should you take, as a speculator, to gain from your expectation: short a call or put option and why?
- 3. A stock sells for $110. A call option on the stock has an exercise price of $105 and expires in 43 days. If the interest rate is 0.11 and the standard deviation of the stock’s return is 0.25. a) Calculate the call using the Black-Scholes model b) What would be the price of a put with an exercise price of $140 and the same time until expiration? c) How does an increase in the volatility and interest rate changes affect the underlying stock’s return on an option’s value? Explain.The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume the risk-free rate is zero. What is the risk-neutral probability of that the stock price will be $36? Choose the right answer: a. 0.3 b. 0.4 c. 0.5 d. 0.6Question: You are an investment advisor. You currently own two stocks, A and B, with the following characteristics: Expected Return Beta X 10% 0.8 Y 16% 1.5 The current risk-free rate is 2 percent, and the expected return on the market is 12 percent. How would you change your holdings of the two stocks (i.e., for each, would you sell or buy more)? Show your calculations (and explain). Stock A: Stock B:
- If a particular stock does not pay dividends and is currently priced at $24 per share, what should be the price of a call option with a maturity of one year and a strike price of $24.5 if put options with the same features currently cost $2? Assume a risk-free rate of 2%. (use 5 decimal places)If a particular stock does not pay dividends and is currently priced at $24 per share, what should be the price of a call option with a maturity of one year and a strike price of $24.5 if put options with the same features currently cost $2? Assume a risk free rate of 2%. (use 5 decimal places)Suppose that call options on ExxonMobil stock with time to expiration 3 months and strike price $104 are selling at an implied volatility of 28%. ExxonMobil stock price is $104 per share, and the risk-free rate is 6%. a. If you believe the true volatility of the stock is 30%, would you want to buy or sell call options? Buy call options Sell call options b. Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold? (Round your answer to 4 decimal places.) X Answer is complete but not entirely correct. Number of 0.5753 X shares
- uppose an American put is trading for $16.50and an American call is trading for $15, whereboth options have identical terms. The underlying stock price is $99, and the exercise price is$100. The annual risk - free interest rate is 5 per cent, and the time to expiration for both optionsis one year. Assuming that the stock pays no dividends, identify the appropriate arbitrage trading strategyQuestion 2. At current time t a stock paying no income has price 45, the forward price with maturity T on the stock is 40, and the price of a zero coupon bond with maturity T is 0.95. Determine whether there is an arbitrage opportunity. If there is, find an arbitrage portfolio. Verify the portfolio you construct is an arbitrage portfolio.Consider the following information for an individual stock Current share price is $30 Risk-free rate is 5% pa compounded continuously Volatility of the stock returns (σ) is 30% pa Strike price is $28 Time to maturity of the option is 12 months The firm is expected to pay no dividends over the next 1 year. Use the closed-form Black-Scholes model to price the European call option with the above characteristics 3.67 5.32 9.81 None of the above