A cheaper expense ratio does not automatically make changing investments worthwhile. Moving can involve a transaction charge, a spread, time out of the market and, in some accounts, tax consequences. The useful question is whether the expected reduction in ongoing costs is large enough to justify those additional costs under the conditions you can actually verify.
This case study isolates that question. The funds and prices are fictional. Neither fund is recommended, and the calculation deliberately excludes taxes because their treatment depends on the investor, account and jurisdiction. Start with two investments that provide a sufficiently similar exposure for a cost comparison to make sense. A lower fee on a substantially different portfolio does not establish that it is a better replacement.
Start with annual dollars, not a smaller percentage
Suppose an investor holds $20,000 in Fund A, which has a 0.40% annual expense ratio. Fund B charges 0.10%. On an unchanged balance, A costs approximately $80 a year and B approximately $20. The initial annual difference is $60. The expense ratio difference is 0.30 percentage points, or 30 basis points. Calling this a 0.30% saving without specifying the balance hides the part that determines its practical importance.
Assume the investor estimates an all in switching cost of $90. A simple break even estimate divides $90 by the $60 initial annual saving, producing 1.5 years. This is a useful first screen, not a precise payback date. Fund expenses accrue against changing assets, the new investment can perform differently, and a percentage spread varies with the trade size. A charge that looks modest on a large account can overwhelm savings on a smaller one.
Follow the two balances through the same model
For a reproducible second check, assume a constant hypothetical gross annual return of 5%. Subtract the annual expense ratio in each case and compound once a year. Staying produces $20,000 × 1.046 raised to the number of years. Switching starts with $19,910 after the assumed $90 cost and compounds at 1.049. This simplified model treats the expense ratio as an annual reduction in return. It does not reproduce daily fund accounting.
After one year, staying gives $20,920.00 and switching $20,885.59. The lower ongoing fee has not yet recovered the initial cost. After two years, the figures are $21,882.32 and $21,908.98. In this particular model, switching moves ahead during the second year. The conclusion is conditional on identical gross performance and no other charges; it is not a prediction of either fund’s actual return.
The useful insight is the comparison of paths. Looking only at the second fund’s higher ending balance after a long period can conceal the initial disadvantage. Looking only at the upfront cost can conceal the repeated annual saving. Both belong in the same calculation, with the same starting date and return convention.
Make the decision sensitive to account size
Now reduce the holding to $5,000 while keeping the same fee difference and $90 switching cost. Initial annual savings fall to $15, so the simple payback period rises to six years. Increase the holding to $100,000 and the annual difference becomes $300, reducing that first screen to 0.3 years. A fixed fee creates very different economics at different balances.
The result changes again if the cost is mostly percentage based. A 0.20% switching cost on a $20,000 holding is $40. Against a 0.30 percentage point annual expense difference, the simple payback is about two thirds of a year. When both cost and savings scale directly with the balance, changing the balance alone does not change that ratio. Distinguishing fixed and proportional costs prevents a misleading comparison.
Check what the calculator leaves out
Use the portfolio simulator to compare ongoing annual fees, holding the gross return and contribution assumptions constant. Record a switching cost separately if the selected tool does not have an explicit field for it. Do not quietly enter an altered starting balance in one scenario and later describe the result as a pure fee comparison. Label the deduction and retain the original balance in your notes.
Before acting, compare the funds’ benchmark, holdings, currency exposure, distribution policy and tracking behavior. Verify the current fee table rather than relying on a promotional label. Selling a position can have consequences that this arithmetic does not estimate. A tax bill, an exit fee or an unsuitable replacement exposure can be more important than a small difference in annual operating expenses.
Write a decision that can be revisited
A useful record would say that the comparison assumes a $20,000 holding, a $90 one time cost, a 0.30 percentage point fee difference and the same 5% hypothetical gross return. It would also state when the investor expects to need the money and which unmodeled costs still need checking. This is much more informative than recording that the new fund is cheaper.
Revisit the conclusion if the cost estimate changes, the holding period shortens or the investments turn out to provide different exposures. For a broader comparison, continue with how to compare index funds. The purpose is to identify a meaningful cost difference within a suitable investment choice, not to replace every holding whenever a smaller expense ratio appears.
About this worked example
The inputs describe a fictional case, not current market quotes. The calculations and publication copy are retained in the release record. Read the assumptions and limitations in the guide before changing inputs.
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