#include <iostream>
#include <random>

// Number of simulations to run.
const int numSimulations        = 1000000;

// Parameters of the normal distribution (for generating random returns).
const double averageReturn      = <insert value here>;
const double standardDeviation  = <insert value here>;

int main()
{    
    std::default_random_engine generator;
    std::normal_distribution<double> distribution(averageReturn,standardDeviation);
    
    // Stores the count of how many times $6000 vs $8000 was hit first.
    int hit6000=0;
    int hit8000=0;
    
    // Run many simulations.
    for (int i=0;i<numSimulations;i++) {
        
        // Set starting price to $7000.
        double price=7000.0;
        
        // Generate a random walk.
        for(;;) {
            
            // Ramdonly adjust price.
            double randomReturn=distribution(generator);
            price=price*randomReturn;
            
            // Is price 6000 or less now?
            if (price<=6000) {
                hit6000++;
                break;
            }
            
            // Is price 8000 or more now?
            if (price>=8000) {
                hit8000++;
                break;
            }            
        }
      
    }
    
    // Print results.
    std::cout << "Hit $6000 first: " << 100.0*(double)hit6000/(double)numSimulations << "%" << std::endl;
    std::cout << "Hit $8000 first: " << 100.0*(double)hit8000/(double)numSimulations << "%" << std::endl;

}