Calculator overview
Inputs and outputs
This summary comes from the calculator's published input and output contract.
Inputs
- Price Change Per Year (required)
-
Unit fraction Default 0.015 Range -0.15 to 0.15
About this input
How fast you expect this item's price to change each year while you save, up or down. Over the ten years to August 2026 durable goods rose 1.50 percent a year, used cars 2.45, furniture 1.88 and major appliances 0.75, while televisions fell 9.30 percent a year and computers 1.43. A single year can be far from the ten-year average. It is also the top of the table.
- Monthly Set Aside
-
When omitted Blank
Unit $/month Default Not set Range 10 to 5000
About this input
Optional. What you would put aside each month instead of making loan payments. Leave it blank and it reads as the loan payment, so both paths spend exactly the same each month, which is the fair comparison. Enter more to save faster; enter less and buying now has to draw on other savings each month to meet its payments, which the status line points out, unless saving never reaches the price, when that warning takes its place.
- Sales Tax Rate
-
When omitted Blank
Unit fraction Default Not set Range 0 to 0.12
About this input
Optional. The sales tax charged on the price, as a combined state and local rate. Leave it blank if the price already includes tax, and it reads as nothing. Buying now pays it on today's price and finances it with the price; saving first pays it on the later price. The population-weighted average combined rate was 7.53 percent in mid 2026.
- Tax Rate On Interest
-
When omitted Blank
Unit fraction Default Not set Range 0 to 0.5
About this input
Optional. The combined income tax rate on the interest the savings earn. Leave it blank and the interest is untaxed. It reduces the yield before the monthly rate is worked out, so a 4 percent APY taxed at 25 percent earns 3 percent a year.
- Savings APY (required)
-
Unit fraction Default 0.04 Range 0 to 0.06
About this input
The annual percentage yield the money set aside would earn, as a bank quotes it. An APY already includes compounding, so it is turned into a monthly rate that compounds back to exactly this figure over a year. The FDIC's national average for savings accounts was 0.37 percent in September 2026, and the top rate on Bankrate's list of 22 September 2026 was 4.20 percent, so the account moves the answer more than most other entries.
- Cost Of Going Without
-
When omitted Blank
Unit $/month Default Not set Range 0 to 2000
About this input
Optional. What doing without the item costs you in each month you wait, such as renting one, paying for a substitute, or a laundromat in place of a washer. Leave it blank and it reads as nothing, which means the value of having the item sooner is not priced at all. It comes out of the monthly budget while saving, so it slows the saving. No published figure for it was found, so its range is this model's own judgment.
- Already Saved
-
When omitted Blank
Unit $ Default Not set Range 0 to 60000
About this input
Optional. Money you have already put aside for this item. Leave it blank if there is none, and it reads as nothing. Buying now puts it down as a down payment, so less is financed; saving first starts from it. If it already covers the price with tax, both paths buy today and the status line says so.
- Financing APR (required)
-
Unit fraction Default 0.1186 Range 0 to 0.36
About this input
The annual percentage rate on the loan, card or pay-over-time plan offered for the purchase, as the offer states it. Each month is charged one twelfth of it. Card rates run near 22 percent, new store cards near 33 and a two-year personal loan near 12, and a true 0 percent offer is entered as 0. It is also the side of the table.
- Item Price (required)
-
Unit $ Default 10000 Range 100 to 60000
About this input
What the item costs today, before any sales tax. Both paths buy the same item: buying now pays this price today, and saving first pays whatever it has become by the month the savings catch up with it. Enter the price the seller quotes; if that price already includes sales tax, leave the sales tax rate blank.
- Financing Term Months (required)
-
Unit months Default 24 Range 2 to 84
About this input
How many monthly payments the financing takes, in whole months. A longer term lowers the payment and raises the total interest, and because the comparison waits until the loan is paid off, it can also move the month the two paths are compared.
Outputs
- Price With Tax
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Unit $
About this output
Today's price with the sales tax added. It is what buying now pays, partly from savings already set aside and the rest on the loan, and it is the price saving first starts chasing.
- Table1 Advantage Column Axis
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No unit declared
About this output
The values across the top of the table: the yearly price change, in steps of one point either side of yours and never below minus 99 percent. Read a column to hold the price change fixed and vary the APR. The middle entry is your own price change.
- Table1 Advantage Column Input
-
Unit fraction
About this output
Machinery, and NOT an input. The same for the top of the table: Excel substitutes into it while filling the table, and the rest of the time it mirrors how the price changes a year.
- Path Verdict
-
No unit declared
About this output
Which path leaves you with more money once both own the item: saving first, buying now, or the two coming out even to within half a cent. It puts the sign of the advantage into words, and it says nothing about having the item sooner unless you entered what going without costs.
- Price Change While Saving
-
Unit $
About this output
How much the price with tax moved while you saved: positive when waiting made it dearer, negative when it fell. Set it beside the loan interest to see whether waiting adds more to the price than borrowing costs.
- Price When Bought
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Unit $
About this output
What the item costs, with sales tax, in the month the saver buys it: today's price with tax, grown or shrunk at the yearly change for the months spent saving.
- Table1 Advantage Values
-
Unit currency
About this output
The body of the table: how far ahead saving first leaves you, in dollars, worked out again for every pair of APR and yearly price change on its two sides, with everything else as you entered it. One hundred and twenty-one cells, each one the whole comparison run again; a cell whose own pair of rates is not valid reads 0. It is a component of the table rather than a result on its own.
- Wealth Buying Now
-
Unit $
About this output
What the buy-now path has in savings at the comparison month: what was left of any savings after the down payment, plus whatever the monthly set-aside exceeded the loan payment by during the loan, plus the whole set-aside every month after the loan ends, all with interest. When the set-aside is less than the payment, the buyer draws the difference from other savings during the loan, which can leave this negative; saving the whole set-aside once the loan ends can bring it back above zero by the comparison month.
- Wealth Saving First
-
Unit $
About this output
What the save-first path has in savings at the comparison month: what was left after paying cash for the item, plus the whole set-aside every month after the purchase, with interest. When saving never reaches the price, the purchase draws on other savings and this is negative, unless a loan that runs past the horizon the model looks ahead leaves the saver time to save it back above zero.
- Table1 Advantage Corner
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Unit currency
About this output
Machinery, and NOT an input. Excel requires the figure being tabulated to sit in the table's top-left corner, where it means nothing to a reader, so it is formatted away. It holds the advantage of saving first.
- Table1 Advantage Row Axis
-
No unit declared
About this output
The values down the side of the table: the APR, in steps of two points either side of yours and never below nothing. Read a row to hold the APR fixed and vary the price change. The middle entry is your own APR.
- Table1 Advantage Row Input
-
Unit fraction
About this output
Machinery, and NOT an input. Excel substitutes each value from the side of the table into this figure while it fills the table; the rest of the time it mirrors the APR on the financing offered. Change the APR itself, never this: the side of the table is derived from it, so editing the mirror moves the side while the table is being filled and the whole table comes out meaningless.
- Months To Save
-
Unit months
About this output
How many months the savings take to meet the price of that month, which moves at the yearly rate you entered. A count equal to the horizon the model looks ahead means saving does not reach the price within it, and the comparison then has the saver buy at the end of it with help from other savings. Zero means the savings already cover the price today.
- Cost Saving First
-
Unit $
About this output
What the item costs on the save-first path: the later price with tax, plus what going without cost, less the interest the savings earned. Like the buy-now cost it adds dollars paid at different times, so the gap between the two costs can differ from the advantage of saving first.
- Down Payment From Savings
-
Unit $
About this output
How much of what is already saved goes down on the purchase when buying now: all of it, up to the price with tax, so the loan covers only the rest.
- Going Without Total
-
Unit $
About this output
What doing without the item cost over the months spent saving: the monthly figure you entered times the months to save. Nothing when you left that figure blank.
- Advantage Of Saving
-
Unit $
About this output
How much more the saving-first path has in savings than the buying-now path at the month the two are compared, once both own the item and both have set aside the same amount every month. Positive means waiting and paying cash leaves you better off; negative means buying now does. When saving does not reach the price within the horizon the model looks ahead, the saver is taken to buy at the end of it with help from other savings, so this is still a comparison. It is the figure the table repeats.
- Amount Financed
-
Unit $
About this output
What the loan covers: the price with sales tax less the down payment from savings already set aside.
- Cost Buying Now
-
Unit $
About this output
What the item costs on the buy-now path: the price with tax plus the loan interest. It adds dollars paid at different times, so it is a total rather than a comparison; the advantage of saving first is the comparison.
- Loan Payment
-
Unit $/month
About this output
The level monthly payment that repays the amount financed over the term at the APR, the first payment a month after the purchase. With the monthly set-aside left blank, this is also what saving first puts aside each month.
- Model Status
-
No unit declared
About this output
Reads OK, or explains why the inputs are not valid or why the answer deserves a second look before you act on it.
- Monthly Set Aside Used
-
Unit $/month
About this output
The amount set aside every month on both paths: the figure you entered, or the loan payment when you left it blank. The buyer spends it on the loan payments and saves any difference; the saver saves it, less what going without costs.
- Horizon Months
-
Unit months
About this output
The month the two paths are compared: the later of the loan's last payment and the month the saver buys. By then both own the item and neither owes anything, so comparing their savings compares like with like.
- Interest Earned While Saving
-
Unit $
About this output
The interest the savings earned from today to the month the saver buys, after the tax on interest you entered. It is part of why saving first can come out ahead even when prices rise.
- Loan Interest
-
Unit $
About this output
Everything the loan charges in interest over its term: the payments added up, less the amount financed. It is the price of having the item now rather than later, before counting anything the savings earn or the price does.
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Methodology
Purpose and model boundary
Compares financing a purchase now with setting the same monthly budget aside and paying cash later, once the savings meet the price of that month, which rises or falls at the yearly rate you choose. Use it to see how long saving takes, what each path costs, and which one leaves you with more once both own the item.
The workbook is the calculation authority. The page groups and explains its inputs and returned figures; it does not reproduce the financial logic in browser code.
Inputs and units
| Input | Unit | Accepted range | What it means |
|---|---|---|---|
| Price Change Per Year | % | -15% through 15% | How fast you expect this item's price to change each year while you save, up or down. |
| Monthly Set Aside | $/month | 10 through 5000 | Optional. |
| Sales Tax Rate | % | 0% through 12% | Optional. |
| Tax Rate On Interest | % | 0% through 50% | Optional. |
| Savings APY | % | 0% through 6% | The annual percentage yield the money set aside would earn, as a bank quotes it. |
| Cost Of Going Without | $/month | 0 through 2000 | Optional. |
| Already Saved | $ | 0 through 60000 | Optional. |
| Financing APR | % | 0% through 36% | The annual percentage rate on the loan, card or pay-over-time plan offered for the purchase, as the offer states it. |
| Item Price | $ | 100 through 60000 | What the item costs today, before any sales tax. |
| Financing Term Months | months | 2 through 84 | How many monthly payments the financing takes, in whole months. |
Governing relationships
The future cash price compounds the entered annual price change until the month the item is bought, then applies sales tax.
The save-first balance grows from the amount already saved and each monthly amount set aside, using the after-tax savings yield.
The buy-now payment is the standard level-payment annuity on the price and sales tax. At zero annual percentage rate it is a plain division by the term.
The two paths use the same monthly budget. Once a loan is repaid, the buy-now path saves the payment amount for the rest of the comparison.
Advantage of saving = save-first position - buy-now position at the comparison month, after counting the entered cost of going without.
Calculation sequence
The future cash price compounds the entered annual price change until the month the item is bought, then applies sales tax.
The save-first balance grows from the amount already saved and each monthly amount set aside, using the after-tax savings yield.
The buy-now payment is the standard level-payment annuity on the price and sales tax. At zero annual percentage rate it is a plain division by the term.
The two paths use the same monthly budget. Once a loan is repaid, the buy-now path saves the payment amount for the rest of the comparison.
Advantage of saving = save-first position - buy-now positionat the comparison month, after counting the entered cost of going without.Rerun the calculation across the delivered two-way table and chart ranges so the effect of changing the stated assumptions is visible.
Outputs and interpretation
| Output | Role | Unit | What it means |
|---|---|---|---|
| Months To Save | primary | months | How many months the savings take to meet the price of that month, which moves at the yearly rate you entered. |
| Advantage Of Saving | primary | $ | How much more the saving-first path has in savings than the buying-now path at the month the two are compared, once both own the item and both have set aside the same amount every month. |
| Loan Interest | primary | $ | Everything the loan charges in interest over its term: the payments added up, less the amount financed. |
Model Status reports whether the workbook accepted the current entries and whether an assumption deserves review. It describes model health, not whether the calculated outcome is good or bad.
Every figure above is returned by the workbook. The page arranges and formats the figures; it computes none of them.
Validation and status logic
| Condition | Returned status |
|---|---|
| The entries are accepted and no additional model warning applies | OK |
| the monthly set-aside is less than the loan payment, so buying now also draws on other savings each month. | CHECK: the monthly set-aside is less than the loan payment, so buying now also draws on other savings each month. |
| saving at this rate does not reach the price within the years the model looks ahead; the comparison has the saver buy at the end of them and cover the shortfall from other savings. | CHECK: saving at this rate does not reach the price within the years the model looks ahead; the comparison has the saver buy at the end of them and cover the shortfall from other savings. |
| the savings already cover the price, so paying cash today avoids the loan altogether. | CHECK: the savings already cover the price, so paying cash today avoids the loan altogether. |
Assumptions and limitations
- Price change, savings yield and financing rate stay level over the comparison.
- The cost of getting the item later is represented only by the monthly amount entered.
- A future purchase that lies beyond the model's horizon is shown as a non-computing state rather than extrapolated indefinitely.
Restrictions and non-computing states
Numeric entries outside the accepted ranges above are refused before calculation. A state the workbook itself marks NOT VALID returns no usable answer. Optional blanks follow the workbook's documented treatment and are not silently replaced by page logic.
The sensitivity table is a set of recalculations across its two axes. It is not a probability surface or a forecast.
Errors and warnings
NOT VALID means the entered question cannot be computed as stated. CHECK means the workbook returned figures but identified an assumption or combination that deserves attention. OK means the current entries passed the workbook's model checks; it does not mean the financial outcome is recommended.
A transport or service failure is reported separately and never replaced with a stale or partial result.
References
Sources and further reading
These sources provide background; they do not supply the calculator's assumptions or certify its result. Values that vary by household, offer, place or time remain inputs for the reader to check.
This calculator is informational and is not financial, investment, or tax advice. Verify important decisions against current official rules, the actual offer or account terms, and an appropriately qualified professional.
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