The risk-free rate is 3%. MCD currently prices at $25. The Delta of a 1-year at-the-money European call on MCD is 0.5. John has a portfolio made of the following: (1) One bond maturing in 1 year paying $1000. (2) Three 1-year at-the-money European MCD calls. (3) Two 1-year at-the-money European MCD puts. How many shares of MCD should John long (or short) to make his portfolio delta-neutral

Short 1.5 shares

Explanation:

Given data :

Risk free rate = 3%

current price ( market price ) = $25

Delta of  1-year at money European call on MCD = 0.5

Determine how many shares of MCD John should either Long or short to achieve a delta-neutral

use the relation below

4 * 0.5  + 1 ( 0.5 - 1 )  + x = 0

x ( number of shares ) =  - [ 4 * 0.5  + 1 ( 0.5 - 1 ) ]

                                     = - 1.5 shares

negative ( - ) means MCD should short 1.5 shares

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