Mark Washington, CFA, is an analyst with BIC. One year ago, BIC analysts predicted that the U.S. equity market would most likely experience a slight downturn and suggested delta-hedging the BIC portfolio. As predicted, the U.S. equity markets did indeed experience a downturn of approximately 4% over a 12-month period. However, portfolio performance for BIC was disappointing, lagging its peer group by nearly 10%. Washington has been told to review the options strategy to determine why the hedged portfolio did not perform as expected. After discussing the concept of a delta-neutral portfolio, Washington determines that he needs to further explain the concept of delta. Washington draws the value of an option as a function of the underlying stock price. Draw such a diagram, and indicate how delta is interpreted. Delta is the: a. Slope in the option price diagram. b. Curvature of the option price graph. c. Level in the option price diagram.

Answer :

The total call option contracts required to create a delta neutral hedge are 75,000.

What is a call option contract?

An agreement between a buyer and a seller to buy a specific stock at a specific price up until a specified expiration date is known as a call option. The right to exercise the call and buy the stocks belongs to the call's buyer, not the other way around.

The return on a delta-neutral portfolio is hedged against small price changes in the underlying asset.

Calculation of the number of call options required to create a delta-neutral hedge:

[tex]\begin{aligned}\text { Number of Contracts } & =\frac{\text { Number of Shares }}{\text { Delta }} \\& =\frac{51,750 \text { shares }}{0.69} \\& =75,000\end{aligned}[/tex]

Therefore, the total call option contracts required to create a delta neutral hedge are 75,000.

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