Question
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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