The fresh-page default charges expenses after growth: q=(1+g)ร(1โf). The archived opening-assets setting instead uses q=1+gโf: growth and expense both use opening monthly assets. With a return already net of fund expenses, f=0; no expense-ratio charge is added again. R is the annual return quote (%) and E the annual expense quote (%). Nominal return: g=R/1200; effective annual return: g=(1+R/100)^(1/12)โ1. Proportional expense: f=E/1200; effective annual retention: f=1โ(1โE/100)^(1/12). The fresh default uses nominal return and proportional expenses. These conversions are separate from the expense asset basis. Net-return mode sets f=0, while loads, fixed fees and taxes remain additional. The archived opening-assets option uses proportional expenses; effective annual expense retention is an after-growth option.
The Silent Drain
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The selected expense setting uses assets after growth by default, or opening monthly assets for the archived setting; both precede each end-month deposit. Entry load applies to gross deposits; exit load is a flat percentage of terminal proceeds. Fixed fees are paid at each year end, capped at available assets. All modes use the selected settings.
P is the initial deposit; M is the end-month deposit; N=12รyears. This shortcut applies only without other loads, fixed fees or taxes. At q=1, FV=P+MรN. Advanced assumptions use the monthly cash ledger instead.
Compounding as a Fee Amplifier
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With nominal annual 7% divided monthly, end-month $500 deposits and post-growth asset fees, the 30-year balances are $686,803.84 at 0.03% expenses and $561,818.46 at 1%. The modeled gap is $124,985.39, before optional taxes and other charges.
Distribution tax is a simplified tax on the entered share of positive monthly growth, with net distributions reinvested and added to sale basis. It does not model distributions during losses, tax lots or jurisdiction rules. Sale tax applies only to positive liquidation gain; no loss tax credit is invented. Annual after-tax rows show hypothetical liquidation at that date.
Matched hypothetical fund assumptions
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Signed annual return-quote difference above the reference; matches terminal after-tax cash, with no ongoing deposits.
The entered 0.97% is an approximate expense-gap comparison, not the solved hurdle. With a 7% nominal reference quote,0.03% reference expenses,1% comparison expenses and no other charges, the matching additional annual quote is 0.9764720599 percentage points. It is not a probability of outperformance.
Magnitude scale capped at 2 percentage points; this is not a probability or difficulty rating.
This example uses gross return quotes and the default after-growth expense timing.
Model conventions and limitations
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The fresh-page default charges expenses after growth: q=(1+g)ร(1โf). The archived opening-assets setting instead uses q=1+gโf: growth and expense both use opening monthly assets. With a return already net of fund expenses, f=0; no expense-ratio charge is added again. R is the annual return quote (%) and E the annual expense quote (%). Nominal return: g=R/1200; effective annual return: g=(1+R/100)^(1/12)โ1. Proportional expense: f=E/1200; effective annual retention: f=1โ(1โE/100)^(1/12). The fresh default uses nominal return and proportional expenses. These conversions are separate from the expense asset basis. Net-return mode sets f=0, while loads, fixed fees and taxes remain additional. The archived opening-assets option uses proportional expenses; effective annual expense retention is an after-growth option.
Distribution tax is a simplified tax on the entered share of positive monthly growth, with net distributions reinvested and added to sale basis. It does not model distributions during losses, tax lots or jurisdiction rules. Sale tax applies only to positive liquidation gain; no loss tax credit is invented. Annual after-tax rows show hypothetical liquidation at that date.
The selected expense setting uses assets after growth by default, or opening monthly assets for the archived setting; both precede each end-month deposit. Entry load applies to gross deposits; exit load is a flat percentage of terminal proceeds. Fixed fees are paid at each year end, capped at available assets. All modes use the selected settings.