Data: so = 140; X= 154; 1+r= 1.1. The two possibilities for Sm are 170 and 122. a-1. The range of S is 48 while that of C is 16 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) Hedge ratio a-2. Calculate the value of a call option on the stock with an exercise price of 154. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 10% interest rate is an effective rate per period.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value

Data: so = 140; X= 154; 1+r= 1.1. The two possibilities for Sm are 170 and 122. a-1. The range of S is 48 while that of C is 16 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) Hedge ratio a-2. Calculate the value of a call option on the stock with an exercise price of 154. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 10% interest rate is an effective rate per period.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume an interest rate of zero. A Call option and a Put option with the same exercise price, X = 100p are priced at 9p for the Call and 4p for the Put. By completing the table below (attached) show that the net position at expiry is zero.
5. Explain and give appropriate use of the following option trading strategies along with their Payoff.: a. Spreads b. Straddles c. Strangles d. Covered Call and Protective Put. State Put-Call Parity theorem for European options. European put and call options with a strike price of Rs. 24 and expiry in 6-months are trading at Rs. 5.09 and Rs. 7.78, respectively. The current stock price is Rs. 20.37 with a risk-free interest rate continuously compounding equal to 7.48%. Is there an arbitrage opportunity? How can it be exploited?
Let 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 0.6912
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 share
Consider the 1-period binomial model with a bond with A(0) = 60 and A(1) = 70 and a stock with S(0) = 4X and S^u(1) 6Y and S^d(1) = 3Z. = 1. What is the price (payoff) C(1) of a call option with strike price 28? 2. same... with strike price 45? 3. same... with strike price 72? 4. Set up a system of linear equations to determine a replicating portfolio for the call option from part 2 (strike price 45). 5. Solve it and determine the price C(O). 6. Compute, tabulate, and plot the price C(O) as you vary the strike price of the option from 28, 29, ..., 71, 72.
Only typing. .... . A strip is a variation of a straddle involving two puts and one call. Construct a short strip using the August 170 options. The price of the call option is $8.10 and the price of the put option is $6.75. Hold the position until the options expire. Determine the profits and graph the results. Identify the breakeven stock prices at expiration and the minimum profit.
Suppose that the current price of an asset is $100. After three months, there are two possible values for the asset price, and after six months there are three, as follows: S++ = 121 s+ = 110 So = 100 st- = 92 S- = 90 S-- = 81 The annual risk-free rate of interest is 2%.
PLEASE ANSWER CORRECTLY ALL THE FALLOWING ******MAKE SURE YOU DONT NOT GIVE ME THE WRONG ANSWERS
What does it mean to assert that the delta of a call option is 0.7? How can a short position in 1,000 options be made delta neutral when the delta of each option is 0.7?
Data: S0 = 120; X = 126; 1 + r = 1.05. The two possibilities for ST are 150 and 102. Required: a-1. The range of S is 48 while that of C is 24 across the two states. What is the hedge ratio of the call? Note: Round your answer to 2 decimal places. a-2. Calculate the value of a call option on the stock with an exercise price of 126. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 5% interest rate is an effective rate per period.) Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
A stock price is currently $23. A butterfly spread (ie. options are bought with strike prices of K₁ and K3, and two options with the middle strike price K₂ are sold) is created from call options with strike prices of $20, $25, and $30. Which of the following is TRUE? Select one alternative: O It is incorrect to assume that there is always a gain when the stock price is greater than $30 or less than $20. O The loss when the stock price is greater than $30 is the same as the loss when the stock price is less than $20. The gain when the stock price is greater than $30 is greater than the gain when the stock price is less than $20. O The gain when the stock price is greater than $30 is less than the gain when the stock price is less than $20.

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