inline Real EuropeanHestonPathPricer::operator()(
                                           const MultiPath& multiPath) const {
        const Path& path = multiPath[0];
        const Size n = multiPath.pathSize();
        QL_REQUIRE(n>0, "the path cannot be empty");

        return payoff_(path.back()) * discount_;
    }
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    Real EuropeanMultiPathPricer::operator()(const MultiPath& multiPath)
                                                                      const {
        Size n = multiPath.pathSize();
        QL_REQUIRE(n>0, "the path cannot be empty");

        Size numAssets = multiPath.assetNumber();
        QL_REQUIRE(numAssets>0, "there must be some paths");

        Size j;
        // calculate the final price of each asset
        Array finalPrice(numAssets, 0.0);
        for (j = 0; j < numAssets; j++)
            finalPrice[j] = multiPath[j].back();
        return (*payoff_)(finalPrice) * discount_;
    }
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Real EverestMultiPathPricer::operator()(const MultiPath& multiPath) const {

    Size n = multiPath.pathSize();
    QL_REQUIRE(n>0, "the path cannot be empty");

    Size numAssets = multiPath.assetNumber();
    QL_REQUIRE(numAssets>0, "there must be some paths");

    // We search the yield min
    Real minYield = multiPath[0].back() / multiPath[0].front() - 1.0;
    for (Size j=1; j<numAssets; ++j) {
        Rate yield = multiPath[j].back() / multiPath[j].front() - 1.0;
        minYield = std::min(minYield, yield);
    }
    return (1.0 + minYield + guarantee_) * notional_ * discount_;
}
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    Real PagodaMultiPathPricer::operator()(const MultiPath& multiPath) const {

        Size numAssets = multiPath.assetNumber();
        Size numSteps = multiPath.pathSize();

        Real averagePerformance = 0.0;
        for (Size i = 1; i < numSteps; i++) {
            for (Size j = 0; j < numAssets; j++) {
                averagePerformance +=
                    multiPath[j].front() *
                    (multiPath[j][i]/multiPath[j][i-1] - 1.0);
            }
        }
        averagePerformance /= numAssets;

        return discount_ * fraction_
            * std::max<Real>(0.0, std::min(roof_, averagePerformance));
    }