Table 3 Notation of functions = price difference between the J-model and the Heston model. Notation of their minimas and maximas on the moneyness space

Δ _{J − eur}  = P _{J − eur}  − P _{BS − eur}

M _{J − eur}

m _{J − eur}

Δ _{Heston − eur}  = P _{Heston − eur}  − P _{BS − eur}

M _{Heston − eur}

m _{Heston − eur}

Δ _J − am  = P _J − am  − P _{BS − am}

M _J − am

m _J − am

Δ _{Heston − am}  = P _{Heston − am}  − P _{BS − am}

M _{Heston − am}

m _{Heston − am}

ε _J  = P _J − am  − P _{J − eur}

M _J

m _J

ε _Heston  = P _{Heston − am}  − P _{Heston − eur}

M _Heston

m _Heston

Δ _J − ε  = ε _J  − ε _BS

M _J − ε

m _J − ε

Δ _{Heston − ε}  = ε _Heston  − ε _BS

M _{Heston − ε}

m _{Heston − ε}