Wealth

Tax-Equivalent Yield

The taxable yield that matches a municipal yield after a tax rate.

How this number is made

A municipal bond that is exempt from federal tax can be compared with a taxable bond by grossing its yield up. The tax-equivalent yield is the municipal yield divided by one minus your marginal rate. State tax on an out-of-state bond is not in this unless you put it in the rate.

  1. Use the yield on the municipal bond, not its coupon if the price is not par. Yield is what matters.
  2. The tax rate is the rate you would pay on a taxable bond instead.

Formula

Tax-equivalent yield = municipal yield ÷ (1 − tax rate).

Worked example

With the figures already in the form, taxable yield that matches is 4.71%.

Questions

Are all municipal bonds exempt?

Federal exemption is common and not universal. Some private-activity bonds are subject to the alternative minimum tax. This page assumes the yield you typed is actually tax-free to you.

What about my state’s tax?

A bond from your own state is often state-exempt too. An out-of-state bond may not be. Raise the tax rate to include a state tax you would otherwise pay.

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