Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Step 1: Conceptual introduction to Options:
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VIEW Step 3: Formula to calculate the present value of put option;
VIEW Step 4: Calculate the volatility (σ) as follows:
VIEW Step 5: Calculate d1 and d2 as follows;
VIEW Step 6: Calculate N(−d1) and N(−d2) as follows;
VIEW Step 7: Calculate the present value of the put option (P) as follows:
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- In follow an Ito process with >0, a stock is worth $80 today, if the price of an option that pays the holder $2 exactly the first time the stock price reaches $200, what is the price of an option? Show all calculation.arrow_forwardD3(arrow_forwardYou buy a share of stock, write a 1-year call option with X = $55, and buy a 1-year put option with X = $55. Your net outlay to establish the entire portfolio is $54. The stock pays no dividends. a. What is the payoff of your portfolio? Payoff b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.) Risk-free rate %arrow_forward
- D4) Consider a two-step binomial tree. What is the delta of the put option if: the futures price is S = 1682.00, the risk-free rate is r = 2.90%, the strike price is K = 1757.00, the maturity is T = 12 months and the tree parameters are u = 1.1357 and d = 0.8620? (keep 4 decimals in your calculations).arrow_forwardLet S = $100, K = $95, \sigma = 30%, r = 8%, T = 1, and \delta = 0. For simplicity, let u = 1.3, d = 0.8 and n = 2 (that is, 2 periods). When constructing the binomial tree for the European call option, what is A (Stock Share Purchased in the replicating portfolio) at the first node (Time 0)? Question 11 options: 0.1789 0.3886 1.0000 0.2550 0.6912arrow_forwardam. 116.arrow_forward
- b) Suppose you are given the following information: Current market price of a share= R200 000 Option’s exercise price = R300 000 Time until the option expires= 5 yrs Risk free rate =4% Standard deviation of the returns on the share= 0.35 Required: i. Calculate d1 and d2 ii. Suppose N(d1) =0.7517 and N(d2) =0.4602; calculate the price of the call option on the sharearrow_forwardConsider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.arrow_forwardPlease correct answer and step by step solutionarrow_forward
- Consider an American put option (K=$100) expiring in one year on a stock trading for $84. The return volatility on the stock is 27.3% and the riskless rate is 5%. Find the price of the option using a Binomial Model with two steps. (Respond with two decimal places, such as "-12.34") 26.59 Correct Answer: 18.28arrow_forwardYou buy a share of stock, write a 1-year call option with X= $85, and buy a 1-year put option with X- $85. Your net outlay to establish the entire portfolio is $83.3. The stock pays no dividends. a. What is the payoff of your portfolio? Payoff b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.) Risk-free rate %arrow_forwardA. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?arrow_forward
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