54 lines
1.8 KiB
C++
54 lines
1.8 KiB
C++
//
|
||
// Created by David Doebel on 06.03.2026.
|
||
//
|
||
|
||
#include <gtest/gtest.h>
|
||
#include "BlackScholesProcess.hpp"
|
||
#include "MonteCarloEngine.hpp"
|
||
#include "Instrument.hpp"
|
||
#include "Option.hpp"
|
||
#include "Payoff.hpp"
|
||
|
||
#include "stubs/FlatYieldCurve.hpp"
|
||
#include "stubs/FlatVolatilitySurface.hpp"
|
||
|
||
TEST(BlackScholesProcess, ExpectedValue) {
|
||
// Market setup (via test stubs): S0=100, r=1%, sigma=20%
|
||
const double K = 100.0;
|
||
const double T = 1.0;
|
||
const int numPaths = 300000; // enough for stable MC estimate
|
||
|
||
const MarketData marketData(
|
||
100.0,
|
||
std::make_shared<FlatYieldCurve>(0.01),
|
||
std::make_shared<FlatVolatilitySurface>(0.2));
|
||
|
||
// Build Black-Scholes process from an immutable market snapshot
|
||
auto processCall = std::make_unique<BlackScholesProcess>(marketData);
|
||
auto processPut = std::make_unique<BlackScholesProcess>(marketData);
|
||
|
||
// RNG shared between engines is fine
|
||
auto rng = std::make_shared<MersenneTwister>();
|
||
|
||
// Pricing engines
|
||
auto mcCall = std::make_unique<MonteCarloEngine>(numPaths, std::move(processCall), rng);
|
||
auto mcPut = std::make_unique<MonteCarloEngine>(numPaths, std::move(processPut), rng);
|
||
|
||
// Instruments (European vanilla) with call and put payoffs
|
||
Instrument callInstr(T, std::make_unique<CallPayoff>(K), std::move(mcCall));
|
||
Instrument putInstr(T, std::make_unique<PutPayoff>(K), std::move(mcPut));
|
||
|
||
const double callPrice = callInstr.price();
|
||
const double putPrice = putInstr.price();
|
||
|
||
// Ground truth Black–Scholes prices provided
|
||
const double callGT = 8.4333186901;
|
||
const double putGT = 7.4383020650;
|
||
|
||
// Monte Carlo tolerance
|
||
const double tol = 0.10; // 10 cents tolerance
|
||
|
||
ASSERT_NEAR(callPrice, callGT, tol);
|
||
ASSERT_NEAR(putPrice, putGT, tol);
|
||
}
|