Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN: 9781337395083
Author: Eugene F. Brigham, Phillip R. Daves
Publisher: Cengage Learning
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- Price of Call option is 2.27 Price of Put option is 20.45 Is there an arbitrage opportunity in this market? Explain in detailarrow_forwardSuppose that an American put option with a strike price of $155.5 and maturity of 12.0 months costs $11.0. The underlying stock price equals 143. The continuously compounded risk-free rate is 6.5 percent per year. What is the potential arbitrage profit from buying a put option on one share of stock? O 12.401 1.5 no arbitrage profit available 11.943 1.6783arrow_forward15. Find the implied volatility (to 2 decimals, for example, σ = 8.23%) of a Put option with a time to expiration of 11 months and a price of $6.13 2 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. 3 Hint: compute the Put price using the same formula as in exercise 4, as a function of the volatility σ. Then use Solver to change the volatility cell in order to obtain a price of $6.13 4 5 6 d1 = -0.0614997 7 d2 = 8 9 10 N(d1)= 11 N(d2)= 12 13 N(-d1)= 14 N(-d2)= 15 16 17 18 P = 27.41 19 So= 47 K= 50 r = 2% σ = 2.74% T= 0.91666667arrow_forward
- F2arrow_forwardSuppose that call options on XYZ stock with time to expiration 3 months and strike price $90 are selling at an implied volatility of 30% ExxonMobil stock price is $90 per share, and the risk free rate is 4%. Required: a1 If you believe the true volatility of the stock is 32%, would you want to buy or sell call options? a2-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?arrow_forwardQuestion 5: A call option on a stock that expires in a year has a strike price of $99. The current stock price is $100 and the one-year risk free interest rate is 10%. The price of this call is $6. a) Is arbitrage possible? What is the arbitrage position? b) do you het this minimum? Find the minimum arbitrage profit for this strategy. Whenarrow_forward
- Aa.2 A stock price is currently $42. The risk-‐free interest rate is APR 4% with continuous compounding. What is the value of a six-‐month American put option with a strike price of $46 using two-‐step binomial option pricing model? Stock pricemove up by 5% or down by 7% for each three month. Less than $3.0. Larger than $3.0 but less than $3.7. Larger than $3.7 but less than $4.3. Larger than $4.3 but less than $5.0.arrow_forward2arrow_forward4. 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?arrow_forward
- 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 sharesarrow_forwardklp.3arrow_forwardי The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black- Scholes model was used to obtain the prices. Calls Puts Strike March June March June 45 6.84 8.41 1.18 2.09 50 55 3.82 1.89 5.58 3.08 4.13 3.54 6.08 6.93 Answer questions below a calendar spread based on the assumption that stock prices are expected to remain fairly constant. Use the June/March 50 call spread. Assume one contract of each. 5 What will the spread cost?arrow_forward
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