Suppose we use a straddle (combination of a call and a put with the same strike m)

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Suppose we use a straddle (combination of a call and a put with the same strike m) in the rollover strategy for hedging the floating strike lookback call and write 

cfe (S, m, t) = CE (S, t; m) + pe (S, t; m) + strike bonus premium.

Find an integral representation of the strike bonus premium in terms of the distribution functions of ST and mTt . How would you compare the strike bonus premium given in (4.2.14) when the European call option is used in the rollover strategy?

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