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An investor has the following portfolio of OTC options on XYZ Ltd. shares: Type Number Delta Call Short 400 0.25 Call Long 300 0.85 Put

An investor has the following portfolio of OTC options on XYZ Ltd. shares:

Type

Number

Delta

Call

Short 400

0.25

Call

Long 300

0.85

Put

Long 1000

-0.40

An exchange traded call option with a delta of 0.50 currently sells for $6. Each option covers one XYZ share.

  1. What is the delta of the portfolio?
  2. How could the investor delta hedge the portfolios exposure using the exchange traded call? Show your calculations.
  3. What does the portfolios gamma measure? What does a large gamma imply about the delta of the portfolio and for keeping the portfolio delta neutral over time?

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