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Investment fees — including fund expense ratios, advisory fees, and transaction costs — compound against you just as returns compound for you. Even a 1% annual fee can consume 20–30% of a portfolio's final value over 30 years.
公式
Final value with fees = P × (1 + r − f)^n where f is annual fee as decimal
- f
- Annual Fee Rate (%)
- r
- Gross Return (%)
- n
- Years (years)
ステップバイステップガイド
- 1Net return = Gross return − Annual fee %
- 2Fee impact compounds: lost return on lost return
- 3Final value without fees: P × (1 + r)^n
- 4Final value with fees: P × (1 + r − f)^n
解いた例
入力
$10,000 at 7% for 30 years, 0% fee
結果
$76,123
入力
$10,000 at 7% for 30 years, 1% fee
結果
$57,434 — $18,689 lost to fees
よくある質問
How do investment fees compound?
Fees reduce your gains, which then reduces your future compounding. Over time, this "lost return on lost return" effect compounds against you significantly.
What is a reasonable expense ratio?
Index funds average 0.05–0.20%, while active funds average 0.5–1.5%. Even 0.5% difference can mean hundreds of thousands of dollars over a career.
Are all fees clearly disclosed?
No. Beyond expense ratios, watch for advisory fees, transaction costs, bid–ask spreads, and trading costs. Always review the prospectus or fee schedule.
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