How many units of the stock should you include in a portfolio containing a European Put option that gives the right to sell 100 units of the stock at a strike price K = 100 each, for the result of this portfolio to be independent of the price of the stock in 1-year time?

How many units of the stock should you include in a portfolio containing a European Put option that gives the right to sell 100 units of the stock at a strike price K = 100 each, for the result of this portfolio to be independent of the price of the stock in 1-year time?

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter16: The Markets For Labor, Capital, And Land

Section: Chapter Questions

Problem 12P

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Question

The price of a non-dividend paying stock is currently S = 100. Over the next year, it is expected to go up by 25% or down by 20%. The risk-free interest rate is r = 5% per annum with continuous compounding. How many units of the stock should you include in a portfolio containing a European Put option that gives the right to sell 100 units of the stock at a strike price K = 100 each, for the result of this portfolio to be independent of the price of the stock in 1-year time? Select one.

a. 0

b. 22

c. 44

d. 33

e. 11

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