Rata-rata return calculator
Arithmetic dan geometric average yearly returns, with volatility, dan ke-grow a starting sum.
Tentang Rata-rata return calculator
Arithmetic dan geometric average yearly returns, with volatility, dan ke-grow a starting sum.
Bagian dari bagian “Investasi dan tabungan” SmartCalcy. Berjalan di peramban Anda tanpa akun, memakai mata uang dan satuan Anda sendiri (ubah di bagian atas halaman), dan memberi perkiraan hanya untuk informasi, jadi periksa panduan resmi sebelum mengandalkan hasilnya.
Cara menggunakan Rata-rata return calculator
Apa yang dihitung dan kapan digunakan
Averages a series yearly investment returns dan shows the difference between the simple average dan the compound average, which adalah the one that matches what your money actually earned.
Cara menggunakan, langkah demi langkah
- Enter the starting Nilai.
- Enter Per buah year’s return as a Persentase, using a negative Angka seharga a Kerugian.
- Add atau remove tahun.
Arti setiap input
- Tahunan return – The Persentase Perubahan di that Tahun, including losses.
Cara membaca hasil
- Arithmetic Rata-rata – The simple Rata-rata the returns.
- Geometric Rata-rata – The compound Tahunan Suku bunga that gives the same final Nilai.
- Volatility – The sample standard deviation the returns.
Rumus
Geometric Rata-rata = (Π (1 + rᵢ))^(1 ÷ n) − 1. Arithmetic Rata-rata = Σ rᵢ ÷ n. Volatility = √(Σ (rᵢ − Rata-rata)² ÷ (n − 1)).
Contoh perhitungan
Returns 12%, −8%, 15%, 6%, dan 9% have an arithmetic average 6.8% but a geometric average 6.48%. 10,000 grows to 13,691.03, a total return 36.91%, with a volatility of 8.93%.
Asumsi dan batasan
- Annual returns are shown after charges only if you enter them that way.
- Past returns Aksi not predict future returns.
Kesalahan umum
- Using the simple Rata-rata sampai project growth. It overstates compound returns.
- Entering −100% atau worse, which wipes out the investment.
Pertanyaan yang sering diajukan
Why adalah the geometric Rata-rata lower?
A Kerugian reduces the Alas on which the next Keuntungan adalah ke-earned, so volatility drags down compound grow.
Alat terkait
Detail
- Arithmetic Rata-rata
- 6.8%
- Geometric (compound) Rata-rata
- 6.48%the Suku bunga that gives the same final Nilai
- Total return
- 36.91%
- Volatility (standard deviation)
- 8.93%
- Final Nilai
- £13,691.03
- Best dan worst Tahun
- 15% / -8%
Nilai after Per buah Tahun
| Tahun | Return | Nilai |
|---|---|---|
| 1 | 12% | £11,200 |
| 2 | -8% | £10,304 |
| 3 | 15% | £11,850 |
| 4 | 6% | £12,561 |
| 5 | 9% | £13,691 |