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Consider the following four European options (A, B, C and D) on a stock. Delta Gamma Vega Strike price Call option A 0.6 0.5 0.7

Consider the following four European options (A, B, C and D) on a stock.

Delta

Gamma

Vega

Strike price

Call option A

0.6

0.5

0.7

$100

Call option B

0.5

0.7

1.1

$200

Put option C

-0.2

0.9

2.0

$100

Put option D

-0.4

1.0

1.4

$200

A) Use one unit of call option A and X units of put option C to construct a delta-neutral option portfolio. What is X? What are the delta-neutral option portfolios Gamma and Vega?

B) Use call option A and put option C to construct a straddle. What are the straddles Delta, Gamma and Vega?

C) A trader constructs a trading strategy that longs a put option C and shorts a put option D. In what scenario(s) will this trading strategy generate 0 payoff?

D) Explain in detail how to construct a box spread using options A, B, C and D.

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