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How to Calculate a Cost-of-Living Raise

Moving from NYC to Austin on $100k? You need only $63,813 in Austin — a $36k cut. MoveMath's engine computes the salary equivalence for any two US metros.

By MoveMath Editorial TeamUpdated October 13, 2026

Moving from New York City to Austin with a $100,000 salary? MoveMath’s engine says you need only $63,813 in Austin to maintain the same annual surplus — a $36,187 reduction in gross income that leaves you equally well off after taxes and costs. Moving into New York is the reverse: a single renter earning $80,000 in Chicago needs $104,786 in New York City, a 31% raise just to stay even. Use the cost-of-living calculator to compute the exact figure for your household and any two metros.

Salary equivalence: single renter, 7 city pairs

Single adult, renting at HUD FY2027 FMR (1-bedroom), USDA Moderate-Cost food, 1 car at 12,000 mi/year at 25 mpg, no childcare. Source: MoveMath 2026 engine.

Move Income in A Need in B Change % change
Chicago to New York City $80,000 $104,786 +$24,786 +31.0%
Denver to Seattle $85,000 $90,191 +$5,191 +6.1%
Chicago to Miami $80,000 $80,399 +$399 +0.5%
New York City to Austin $100,000 $63,813 -$36,187 -36.2%
Los Angeles to Phoenix $90,000 $66,159 -$23,841 -26.5%
San Francisco to Nashville $120,000 $80,923 -$39,077 -32.6%
New York City to Dallas $90,000 $57,967 -$32,033 -35.6%

The Chicago-to-Miami comparison ($80,000 needs $80,399 in Miami) illustrates that not all “no income tax” moves are savings. Miami’s rent (FMR 1-BR: $2,121) is significantly higher than Chicago’s ($1,780), which offsets the $3,815 Illinois income tax saving at $80,000 almost exactly.

How the calculation works

MoveMath’s salary equivalence algorithm:

  1. Compute the full budget for your household in city A at your current income. The result is a “surplus” — after-tax income minus all modeled costs.
  2. Find the income in city B that produces the same surplus, holding all household inputs constant (same food plan, same car use, same childcare). Taxes and costs change with location; spending preferences do not.
  3. The found income is the “equivalent salary” in city B.

Because taxes are progressive, the equivalent salary is not simply income × (B cost index / A cost index). At $100,000, a single filer pays 29.6% of gross income in total taxes in New York City and 20.8% in Austin. Every dollar of salary given up in Austin also takes tax away with it, so the equivalent salary falls further than prices alone would suggest.

The role of BEA Regional Price Parities

BEA Regional Price Parities (RPP) measure average price levels for a metro relative to the US average (US = 100). They cover goods, housing, utilities, and other services. MoveMath uses RPP to adjust food costs and the “other goods and services” baseline, but rent comes from HUD FMR (a more current and precise source) and taxes from the 2026 engine.

RPP values for reference (BEA 2024 vintage):

Metro Overall RPP Housing RPP Goods RPP
New York City, NY 112.6 148.6 110.3
San Francisco, CA 115.6 194.7 108.5
Los Angeles, CA 113.6 170.4 106.6
Seattle, WA 111.1 151.3 104.0
Denver, CO 105.8 146.9 101.0
Chicago, IL-IN 103.6 112.0 107.3
Phoenix, AZ 103.3 121.2 95.0
Dallas, TX 103.1 117.9 102.8
Austin, TX 98.1 120.4 93.8
Nashville, TN 96.3 104.6 96.2

Austin’s overall RPP (98.1) is below the US average, driven by a goods RPP of 93.8 — goods are meaningfully cheaper than the national average. Nashville’s overall RPP (96.3) is the lowest in the table.

Why two cities with the same RPP can require different salaries

RPP measures prices relative to the US average. Two cities with RPP = 100 have the same average price level but may have very different tax burdens, rent distributions, or childcare costs. A city with flat 5% income tax and average RPP needs a different salary than a no-income-tax city with the same RPP.

MoveMath computes the actual tax and cost budget rather than using RPP as a proxy, which is why its salary equivalence differs from a simple price-index calculation.

How to negotiate a cost-of-living raise

  1. Use MoveMath’s salary equivalence as your anchor. This is the salary at which you are indifferent between the two cities. It is based on official data and a defensible methodology.

  2. Add your target cushion. If the move is a promotion, you should come out ahead of equivalent. Add $5,000–$15,000 to the equivalence figure as a target.

  3. Frame it as maintaining purchasing power, not personal gain. “Based on HUD Fair Market Rent, BEA price parities, and the state income tax difference, a fair salary in [city B] for a $100k role in [city A] is approximately $X” is more persuasive than “the city is expensive.”

  4. Account for other factors. If the employer provides housing assistance, a signing bonus, or other relocation benefits, factor those into the calculation.

See how to negotiate salary for a relocation for the full negotiation playbook. Use the cost-of-living calculator to run the comparison for your specific household. Related: New York to Austin, Austin cost of living, Tennessee.

Frequently asked questions

What is a cost-of-living raise?+

A cost-of-living raise is a salary adjustment that compensates for the higher cost of living in a new location, so your purchasing power after taxes and costs remains the same. The calculation compares full budgets — taxes, rent, food, transportation — not just a price index.

How does MoveMath compute the salary equivalence?+

MoveMath's engine solves for the gross income in city B that produces the same annual after-tax surplus (income minus all modeled costs) as your current income in city A. It uses the same household inputs (cars, children, food plan) in both cities, changing only the location-specific costs and taxes.

Does a simple price index give the right answer?+

Not precisely. A price index like BEA Regional Price Parities gives a useful directional estimate, but it does not account for the specific taxes, FMR rent by bedroom, or childcare costs in your household's situation. Two households at different income levels in the same cities will need different salary adjustments.

What if I am moving to a higher-cost city and getting a raise?+

Check whether the raise exceeds the salary equivalence figure. If moving from Denver ($85k) to Seattle requires $90,191 in Seattle to match your surplus, and your new offer is $95,000, you are $4,809 of gross salary ahead of break-even. If the offer is $88,000, you are $2,191 short.

Should I negotiate based on BEA RPP or MoveMath's figure?+

MoveMath's figure is more accurate for your specific household because it uses official cost data (FMR, USDA food plans, EIA energy, NDCP childcare) and the actual 2026 tax engine. BEA RPP is a useful sanity check but is an index of price levels, not a household budget calculation.

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