Computing Greeks by Finite Difference using Monte Carlo Simulation and Variance Reduction Techniques



GIOVANI GRACIANTI(1*)

(1) Jurusan Matematika, Fakultas Sains dan Teknologi, Universitas Pelita Harapan
(*) Corresponding Author

Abstract


Makalah ini membahas penggunaan metode Monte Carlo untuk komputasi Greeks. Algoritma metode beda hingga untuk memperkirakan Greeks menggunakan teknik simulasi Monte Carlo dan teknik reduksi varians (yaitu nomor acak umum dan varians antitetis) disajikan. Model Black-Scholes digunakan sebagai model acuan untuk menganalisa dan menguji metode numerik. Hal ini menunjukkan bahwa jumlah simulasi mempengaruhi kinerja yang paling banyak, dan ada beberapa teknik untuk mengurangi kesalahan. Dalam kasus options dengan payoff diskontinu, metode ini tidak berjalan dengan baik saat waktu sekarang mendekati waktu jatuh tempo.

Kata kunci: Options, Greeks, Metode Monte Carlo, Metode Beda Hingga, dan Model Black-Scholes


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