Calculating Real Yield on Inflation-Linked Bonds

Summary

The document distinguishes calculating an inflation-linked bond’s real yield from estimating its projected nominal yield. For real yield, use the bond’s real coupon and price in a standard bond-yield calculation, rather than adjusting a nominal bond’s coupon alone. This follows the convention that inflation-linked bond yields are quoted as returns above inflation.

For a projected nominal yield, the answer suggests combining real-yield information with inflation expectations implied by inflation swaps. It also points out that investors seeking an ordinary nominal market yield can refer directly to nominal bonds. The response offers direction rather than a worked calculation, and it does not discuss indexation details, cash-flow timing, or other instrument-specific conventions that may affect implementation.

Key ideas

• Real yield can be calculated with a standard bond-yield formula using the inflation-linked bond’s real coupon and price.
• Adjusting only the nominal coupon does not provide the described real-yield calculation.
• Projected nominal yield may incorporate inflation expectations from inflation swaps.
• The answer gives no worked example or detailed treatment of bond-specific conventions.

Tags

# How to calculate the YTM of an inflation linked bond


# How to calculate the YTM of an inflation linked bond












I'm trying to find a formula to calculate the YTM of inflation-linked bonds. I've tried using the conventional YTM formula for bonds and then just adjusting the coupon to the inflation adjusted coupon, but this doesn't seem to be giving an accurate result.

Could someone point me in the correct direction?

## Answer by Mats Lind (score 2)

https://quant.stackexchange.com/a/30044

If it is the real-yield - which is the nominal yield minus inflation - that you are after then you just use the real coupon and price to calculate the yield the same way you would have done with the nominal coupon and price on a nominal bond as it says in the wikipedia: "in the case of inflation-indexed bonds such as TIPS, the bond yield is specified as a rate in excess of inflation, so the real yield can be easily calculated using a standard bond calculation formula".

However, if it is the projected nominal yield you are looking for, I guess you could add inflation quotes from inflation swaps to get some sort of market implicit nominal yield. Then again, for this you should just look at the ordinary nominal market.

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