Simulasi Monte Carlo pada Dekumulasi Tabungan Pensiun: Perbandingan Skenario Inflasi Stokastik dan Fixed Rate
Abstract
Perencanaan keuangan saat pensiun sangat dipengaruhi oleh ketidakpastian ekonomi, khususnya inflasi yang berdampak pada nominal penarikan tabungan pensiun sesuai daya beli para pensiunan setiap tahun. Berbeda dengan penelitian terdahulu yang mensimulasikan proyeksi keberlanjutan tabungan pensiun menggunakan Safe Withdrawal Rate, penelitian ini menganalisis perbandingan keberlanjutan tabungan pensiun melalui dua skenario penarikan tahunan yaitu skenario penarikan sesuai inflasi stokastik dan skenario penarikan tingkat tetap sebesar 4%. Penelitian ini menggunakan pendekatan kuantitatif berbasis simulasi Monte Carlo dengan data sekunder berupa data historis tingkat inflasi Indonesia dan data historis kinerja benchmark aset investasi Indonesia yaitu IHSG, GIDN10Y, serta JIBOR. Dari populasi data yang diperoleh dari platform data keuangan yang tersedia secara publik, digunakan sebanyak 252 data observasi periode Januari 2003 hingga Desember 2023 sebagai sampel data penelitian. Paratemer yang diperoleh dari data tersebut digunakan untuk membangkinkan 10.000 jalur simulasi dekumulasi selama 30 tahun dengan saldo awal sebesar Rp 1.000.000.000 dan penarikan awal Rp 20.000.000 per tahun. Setiap skenario dijalankan pada empat komposisi portofolio investasi yaitu konservatif, moderat, seimbang, dan agresif. Hasil penelitian menunjukkan skenario inflasi stokastik menghasilkan risiko kehabisan dana lebih tinggi dibanding tingkat penarikan tetap. Selanjutnya, komposisi portofolio agresif secara konsisten menghasilkan Probability of Ruin yang lebih rendah dan menghasilkan median saldo akhir yang lebih tinggi dibandingkan skenario lainnya. Temuan ini menegaskan bahwa penggunaan asumsi inflasi stokastik pada penarikan dana tabungan pensiun memberikan gambaran lebih nyata atas Risk of Ruin di masa datang. Hasil penelitian diharapkan dapat membantu strategi penarikan dana tabungan pensiun yang lebih adaptif terhadap perubahan ekonomi yang tidak pasti.
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