Finance Question Options Fair Value

Hey guys, I have to answer this question for an interview and I'm really stuck, I don't even know where to start. Can anyone help me out?

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
- volatility is constant across strikes

i. What is the fair value for the 80 call, 60 straddle, and 40 put?
ii. Assume we had a volatility smile along the curve. How would this make your markets different?

 
trader113455:
Hey guys, I have to answer this question for an interview and I'm really stuck, I don't even know where to start. Can anyone help me out?

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 - volatility is constant across strikes

i. What is the fair value for the 80 call, 60 straddle, and 40 put? ii. Assume we had a volatility smile along the curve. How would this make your markets different?

id go with b

 

Could anyone spare a little guidance on problems such as this for the 80 and 40 prices?

It seems that we would need more information to get the outside prices (interest/time), by working backwards from the Black Scholes and obtaining the implied vol. Or possibly something like calculating IV from risk reversal and fly prices. Any help would be appreciated

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