The current price of a stock is $200. Over the next year, it is expected to go up or down by 14% or 13%, respectively. The stock pays a dividend yield of 8% per year and the risk-free rate is 5% per year with continuous compounding. A market-maker of an important investment bank just sold 100 at-the-money European call options (i.e. one contract) expiring in one year to an important client. shares of the stock does she need to buy in order to hedge her exposure? Express your How many answer with two decimals.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter7: Common Stock: Characteristics, Valuation, And Issuance
Section: Chapter Questions
Problem 17P
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The current price of a stock is $200. Over the next year, it is expected to go up or down by 14% or
13%, respectively. The stock pays a dividend yield of 8% per year and the risk-free rate is 5% per
year with continuous compounding. A market-maker of an important investment bank just sold 100
at-the-money European call options (i.e. one contract) expiring in one year to an important client.
How many shares of the stock does she need to buy in order to hedge her exposure? Express your
answer with two decimals.
Transcribed Image Text:The current price of a stock is $200. Over the next year, it is expected to go up or down by 14% or 13%, respectively. The stock pays a dividend yield of 8% per year and the risk-free rate is 5% per year with continuous compounding. A market-maker of an important investment bank just sold 100 at-the-money European call options (i.e. one contract) expiring in one year to an important client. How many shares of the stock does she need to buy in order to hedge her exposure? Express your answer with two decimals.
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