IBM stock currently sells for 64 dollars per share. The implied volatility equals 40.0. The risk - free rate of interest is 5.5 percent continuously compounded. What is the delta of a call option with strike price 69 and maturity 9 months? Group of answer choices 0.4702 0.0751 0.5319 0.2574
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IBM stock currently sells for 64 dollars per share. The implied volatility equals 40.0. The risk - free rate of interest is 5.5 percent continuously compounded. What is the delta of a call option with strike price 69 and maturity 9 months? Group of answer choices
0.4702
0.0751
0.5319
0.2574
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- 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)Consider the following information on a particular stock: Stock price = $89 Exercise price = $85 Risk-free rate = 3% per year, compounded continuously Maturity = 8 months Standard deviation = 59% per year 1. What is the delta of a call option? 2. What is the delta of a put option?
- Suppose the current stock price of JuJube Inc is ¥100, the risk-free interest rate is 5%, the standard deviation is 25%, the time to maturity is 4 months, the strike price is ¥85, and the price of a call option is ¥25.20. Using the put-call parity relationship, the put option price is closest to A. ¥25.20 B. ¥16.40 C. ¥5.20 D. ¥8.80 E. None of the aboveThe 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 $1.6The Moon company currently sells for 100 $. The annual stock price volatility is %10 and risk- free interest rate %8, the price of a call on a company’s stock with strike price 200 $ and time period 2 months. Find the stock option price with Black and Scholes Model. If option market value 320 $ what is the option strategy?
- Suppose a non-dividend paying stock is trading at $175 per share and has a volatility of 45%. What is the "down rate" (d) equal to if the strike price is $190 per share, the option has a time to maturity of 3 months and there is 1 binomial period? Assume a risk-free rate of 1%. Round to the nearest 0.0001.Suppose the value of the S&P 500 stock index is currently 2,400. a. If the 1-year T-bill rate is 6% and the expected dividend yield on the S&P 500 is 4%, what should the 1-year maturity futures price be? Futures price b. What if the T-bill rate is less than the dividend yield, for example, 1%? The T-bill rate is less than the dividend yield, then the futures price should be less than the spot price.3. Consider a non-dividend paying stock whose initial stock price is 62 and has a log- volatility of σ = 0.20. The interest rate r = 10%, compounded monthly. Consider a 5-month option with a strike price of 60 in which after exactly 3 months the purchaser may declare this option a (European) call or put option. Assume u = 1.05943 and d = = 0.94390 (a) Compute the values of the binomial lattice for 5 1 month period. 0 1 2 3 4 5 62 (b) Compute the appropriate risk-free rate. (c) Find the risk-neutral probability p of going up? (d) Find the values of call option and put option along this lattice: 0 5.85 1 2 3 4 5 call option 0 1 2 3 4 5 1.40 put option
- 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 above4. A stock is selling today for $100. The stock has an annual volatility of 45 percent and the annual risk-free interest rate is 12 percent. A 1 year European put option with an exercise price of $90 is available to an investor .a.Use Excel’s data table feature to construct a Two-Way Data Table to demonstrate the impact of the risk free rate of interest and the volatility on the price of this put option: i. Risk Free Rates of 5%, 7%, 9%, 12%, 15% and 18%. ii. Volatility of 35%, 45%, 55%, and 65%. b. How is the put option price impacted by varying the risk free rate of interest? c.How is the put option price impacted by varying the volatility?A stock trades today at $73.14. (a) Write down the intrinsic value of a call option with strike price K = 72.50. (b) Assuming that the option in (a) expires three months from now and that the risk-free interest rate is 4.06% per annum, find a theoretcal lower bound for the price of the option (to the nearest cent). (c) Suppose that the price of the call option (with strike price and expiration date as above) is $1.82. Find the no-arbitrage price for a European-style put option with the same strike price and expiration date.