You have been asked to determine the prices of the options on ABX stock, currently trading at
Question:
You have been asked to determine the prices of the options on ABX stock, currently trading at $22.50 a share. You estimate the continuously compounded ABX stock return volatility () to be 0.20 (20%) and the risk-free rate to be 2.25 percent. These options have 108 days left to expiration.
a. Determine the equilibrium prices, time and intrinsic values of the following:
1.ABX 20 options
2.ABX at-the-money options
b.Suppose you purchase 800 shares of ABX stock and simultaneously purchase 12 ABX 20 put optioncontracts. 1 contract = 100
- Is your portfolio delta neutral? Explain.
- What would you do to achieve delta neutrality?
c.Suppose you own 800 shares and wish to be fully hedged using ABX 22.50 calls
- Show how you achieve such delta neutrality.
- Exactly 30 days have expired since you fully hedged your long ABX stocks using ABX 22.5 calls. ABX stock has risen to 24.75, the risk-free rate has declined to 2 percent.
Discuss your position delta and demonstrate how you can maintain delta neutrality.
Statistics For Business And Economics
ISBN: 9780132745659
8th Edition
Authors: Paul Newbold, William Carlson, Betty Thorne