An investment gains 20% in its first year and loses 20% in its second. Would reversing the order leave the same amount? Without withdrawals, the two wealth factors multiply to the same result. With money removed for living costs each year, the answer changes.
A second change is less visible. Withdraw only cash, buy no additional stock, and the account's stock weight can rise. Follow where the money goes before deciding how much remains available to spend or expose to risk.
Profit does not identify money available to withdraw
You will distinguish investment profit and loss from external flows, reconstruct two withdrawal paths using the same returns, and update cash uses, equity, and allocation denominators afterward. Save reconcilable flow records rather than a universal withdrawal rate.
Profit is an investment-related change in value, possibly still held in unsold shares. Account cash is an asset but does not itself establish settlement, absence of restrictions, or immediate transferability. Funds available to trade, funds eligible for a withdrawal request, and money actually received in the bank can have different conditions.
Vanguard's own settlement-fund explanation distinguishes trading, settlement, and withdrawal: sale proceeds become withdrawable after settlement, and withdrawals must leave money available for existing purchases.1 This is an original example of one institution's conditions, not a promise covering every broker, product, or transfer route.
Household permission is separate again. Fees, committed living costs, and taxes still being determined can have claims on cash even when a platform permits a transfer. A system allowing withdrawal does not release every household purpose assigned to the money.
Start at the same amount, then change return order
C8-81 is an independent synthetic renminbi exercise. All amounts use units of RMB 10,000: 100 is RMB 1 million. It does not alter the book's three original households. Invest 100 at the beginning of year 1, with no later contributions. At each year-end, first apply that year's investment return, then withdraw 10, immediately consumed for living costs and never returned to the account.
Path A earns +20% and then −20%. Path B earns −20% and then +20%. Each year's return applies to all assets actually left at its beginning. Treat the investment basket as divisible and redeemable by amount, with no extra fees, taxes, dividends, or cash interest. Year-end withdrawals are assumed fully executable at the stated valuation and immediately received. Those simplifications isolate order effects; actual withdrawal steps require separate verification.
| Path/year | Beginning account | Return | Investment profit/loss | Before withdrawal | Living withdrawal | After withdrawal |
|---|---|---|---|---|---|---|
| A, year 1 | 100 | +20% | +20 | 120 | 10 | 110 |
| A, year 2 | 110 | −20% | −22 | 88 | 10 | 78 |
| B, year 1 | 100 | −20% | −20 | 80 | 10 | 70 |
| B, year 2 | 70 | +20% | +14 | 84 | 10 | 74 |
Both paths withdraw 20, yet A retains 78 and B 74. A's investment result is 20 − 22 = −2; B's is −20 + 14 = −6. Reconcile the account boundary: initial 100 minus external withdrawals of 20 plus investment profit/loss of −2 or −6 equals 78 or 74.
The balance declines of 22 and 26 are not all investment losses: 20 went to living costs. Money already spent is no longer a current household cash asset. You can display cumulative withdrawals alongside remaining account value to reconcile what happened, but cannot treat the consumed amount as available for another investment.
With no withdrawals, both paths end at 100 × 1.2 × 0.8 = 96. With fixed withdrawals, B's early decline is followed by money leaving before the rebound. Its second 20% gain applies to 70, not 80. This illustrates sequence-of-returns risk: order and flows jointly affect the capital path, which adding return percentages cannot describe.
Two years do not establish a withdrawal rule that never exhausts capital or prove a universal preferred order under every flow pattern. Different contribution amounts, withdrawal dates, or spending rules require recalculation. These simple returns do not cover a retirement horizon, inflation, household longevity, or tail scenarios.
Keep cash purposes separate from expenses already paid
A withdraws 10 in its second year while losing 22 on investments. Withdrawals can consume principal in a losing year; a profitable year can also leave all gains invested. If bills must be paid regardless of markets, the policy needs to acknowledge that before a bad year, rather than quietly changing “withdraw profits only” into “borrow from principal for now.”
Use a separate cash-purpose snapshot. An account has 6 in cash, all settled, unrestricted, and uncommitted to orders. Set aside 2 for near-term living costs, 0.2 for future account fees, and 0.8 as a provisional reserve for taxes still to be checked. The uses do not overlap. At most 3 remains a candidate for reinvestment, not all 6.
The 0.8 is an exercise amount, not a tax rate, actual assessed tax, or optimal reserve. Tax identity, account type, basis, income category, withholding, and other applicable obligations remain unverified. Calling the reserve “tax paid” would be wrong. The fee reserve has not actually been charged either, so do not deduct it from equity as an incurred expense. Assigning a purpose differs from recognizing a legal liability, which requires actual evidence.
Not withdrawing also does not automatically eliminate tax. In the ordinary U.S. investment-income context described by IRS Publication 550 (2025), using dividends to buy more shares at fair market value still requires reporting those dividends as income.2 That corrects one reinvestment misconception; it does not determine every Chinese or American reader's tax burden or advise on retirement or cross-border accounts.
A pretax book ledger has not calculated a person's after-tax spendable amount. Sale proceeds are not all profit, and a distribution is not an unconditional extra return. Check account and tax materials before releasing reserves rather than applying a universal withdrawal percentage.
Reinvestment moves value inside the account
Suppose a separate record shows a dividend of 1 retained in account cash. Reinvesting it in new units moves value from cash into holdings. At the end, include the value of those units; do not also add the same 1 as dividend cash still held. Internal transactions and distributions have different roles from outside contributions and withdrawals.
Reinvestment must respect uses too. If the 2 of living money in the cash snapshot has a payment date, it cannot be automatically invested on the assumption that it can later be redeemed at the same value. Compounding describes money remaining exposed to the next period's change. It guarantees neither growth nor cancellation of a bill.
Record the actual sale, fee debit, transfer request, and bank receipt dates separately. SEC's account-statement guide describes transaction details covering purchases, sales, flows, distributions, reinvestment, and costs, and comparison with trade confirmations.3 One generic “withdrawal date” can hide the very delay that matters to the household.
No purchase, but a higher stock weight
Restart with a separate holdings snapshot, not the continuation of either two-year path. Equity of 100 consists of stocks 70 and cash 30, without borrowing, accrued fees, or other liabilities. Cash is settled and available for the specified withdrawal. Withdraw 20 from cash for living costs, with stock prices unchanged and no transaction cost.
Stocks remain 70, cash becomes 10, and equity becomes 80. Stock weight rises from 70% to 70 / 80 = 87.5%. No shares were added, but the cash supporting the previous denominator left. Calling the account “70% invested” afterward uses an obsolete base.
Suppose this independent policy caps stocks at 70% of current equity, a teaching condition. The new limit is 56, so stocks exceed it by 14. A subsequent sale of 14 at the supplied prices, with no fee and proceeds retained, leaves stocks 56 plus cash 24, totaling 80. Actual adjustment still needs tax, cost, execution, and other constraints checked; this exercise does not itself authorize an order.
Now suppose a planned trade has an estimated scenario loss of 9, with a separately supplied cap of 10% of current equity. Before withdrawal, the cap is 10; afterward, it is 8. The same proposed 9 passes one comparison and fails the other. Neither parameter is a universal single-trade standard or a guaranteed maximum loss.
After a flow, update the G47 policy and T14/T16 records, then recheck existing positions, pending orders, and future trades. Updating only the displayed balance while retaining old quantities leaves the funding decision unfinished. Withdrawn money is no longer available to another strategy.
A contribution cannot improve an old track record
In another independent account, start at 100, earn zero investment profit, and transfer 20 from the bank before the end. The account becomes 120, without a 20% investment gain. Leaving that same 20 in the household's bank-assets line would also duplicate household wealth.
If an earlier investment loss existed, adding funds would not erase it. Evaluate drawdown using an appropriate return or unit-value measure that removes external-flow effects, rather than only a balance above an old peak. G80 addresses that investigation; fresh capital is not evidence of strategy repair.
With several flows, investment profit/loss can first be reconciled in money, while the return percentage also depends on participation times. A final 78 does not establish a −22% investment return, nor does 74 establish −26%. Save valuations immediately around flows and their dates for G93's fuller time- and money-weighted calculations. A tool should not guess missing history to manufacture an exact ratio.
Change the withdrawal schedule
Explain. An account statement reports profit of 10. Why can a living-cost withdrawal of 10 not be approved immediately? Give a market-value-versus-cash distinction and a purpose or availability condition.
Apply. Keep initial 100 and the two annual returns, +20% and −20%, in the original A/B orderings. After applying the first year's return, withdraw 20; after the second year's return, withdraw 10. Keep the other simplifications. Calculate before/after balances, cumulative investment profit/loss, and the difference between paths.
Reference answers · reveal
Answer. A reaches 120, withdraws 20, and leaves 100. It then falls to 80, withdraws 10, and ends at 70. Investment profit/loss is 20 − 20 = 0. B falls to 80, withdraws 20, and leaves 60. It then grows to 72, withdraws 10, and ends at 62. Investment result is −20 + 12 = −8.
Both have withdrawn 30. Initial 100 − 30 plus the investment result reconciles to 70 or 62. The gap is 8, twice the original gap of 4. Return order interacts with the amount removed.
For the explanation, profit may still be in unsold holdings; sale, settlement, withdrawal eligibility, and bank receipt differ. Fees, committed payments, or unverified taxes may occupy available cash. The conclusion is to complete the funding plan, not to prohibit all withdrawals.
Save a policy that still works after money leaves
Keep separate ledgers for the original paths and transfer exercise: account boundary, renminbi units, starting valuations, each return, prewithdrawal value, timing and use of the external outflow, postwithdrawal value, cash and holdings, investment profit/loss reconciliation, and fee/tax status. For actual accounts, add trade availability, withdrawal eligibility, and bank receipt; mark missing evidence unknown.
T14 records released household uses and new needs. T16 records postwithdrawal equity, exposure caps, estimated loss budgets, and orders requiring recalculation. Check conservation of money, then duplicate uses: consumed withdrawals cannot compound again, and reinvested dividends cannot remain a second cash balance.
For “I made money; how much can I spend?”, locate the value, its availability time, and existing commitments. Then follow which remaining funds participate in each market period. Keep account balance, investment results, and spendable cash distinct so withdrawals remain part of the plan rather than an omitted line beside a return chart.
References
- Vanguard: Settlement Fund, “When you buy investments” and “When you sell investments.” One institution's original explanation of trading funds, settlement, and withdrawals.
- IRS: Publication 550 (2025), “Dividends Used To Buy More Stock.” The specified U.S. reinvested-dividend reporting rule, without personal rates or cross-border conclusions.
- Investor.gov: Better Understanding Your Brokerage Account Statement, transaction and activity details, confirmations, and flows.
Editorial status
AI-assisted draft synchronized to the accepted second-round Chinese source. All accounts and policy parameters are independent synthetic inputs. See the author review. A separate AI reviewer has completed an independent full-text and bilingual review. Human financial review and target-reader testing have not been performed and are not scheduled for this edition.