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Published online by Cambridge University Press: 24 May 2017
We provide an elementary method for exploring pricing problems of one spread options within a fractional Wick–Itô–Skorohod integral framework. Its underlying assets come from two different interactive markets that are modelled by two mixed fractional Black–Scholes models with Hurst parameters,   $H_{1}\neq H_{2}$ , where
 $H_{1}\neq H_{2}$ , where   $1/2\leq H_{i}<1$  for
 $1/2\leq H_{i}<1$  for   $i=1,2$ . Pricing formulae of these options with respect to strike price
 $i=1,2$ . Pricing formulae of these options with respect to strike price   $K=0$  or
 $K=0$  or   $K\neq 0$  are given, and their application to the real market is examined.
 $K\neq 0$  are given, and their application to the real market is examined.