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Option strategies interview questions

Joined
4/1/16
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Hi All,

Here is a question I am not able to solve: your help will be much appreciated!

Suppose you know the following information about a market:

- Future is at 66
- 70 strike straddle is trading at 27
- 50-60 put spread is at 2.5
- 50-60-70 put fly is at .2
- Assume volatility is constant across strikes

Using the prices given and relationships between options of various strikes, what are the fair values for the 80 Call, 60 Straddle, and 40 Put? Assume we had a volatility smile among the curve, how would this make your markets different?
 
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