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Stock Genus trades at 55. Danko owns a portfolio of the following contracts Long Two stocks Long 2 puts with a strike of 50 and

Stock Genus trades at 55. Danko owns a portfolio of the following contracts

  • Long Two stocks
  • Long 2 puts with a strike of 50 and maturity 3 months
  • Short 2 calls with a strike of 60 and a maturity of 3 months.

Danko is given the following information on contracts with maturity 3 months

Instrument

Price

Delta

Gamma

Vega

Call with strike 60

1.2

0.30

0.05

9.51

Put with strike 50

0.70

-0.18

0.038

7.15

Call with strike 55

3.08

0.57

0.057

10.8

  1. What is the current value of the portfolio. (Assume each option controls one stock)
  2. If the stock price went up by a dollar, estimate the change in the portfolio value ignoring convexity effects.
  3. Suppose you want to make the portfolio both delta and gamma neutral. What is the cost of achieving this if Danko used the 55 strike call and the stock.

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