Spot Yields, Forward Yields, and Expectations of Future Rates

Summary

The note asks whether forecasts of higher 10-year Treasury yields should already be reflected in the current yield. Its answer distinguishes the spot yield from forward yields: forward yields are used to describe market-implied rates for future periods. When the yield curve slopes upward, forward yields can exceed spot yields, so the curve may already be consistent with expectations of higher rates even if the current 10-year yield has not risen to the forecast level.

The explanation is brief and qualitative. It does not derive forward rates, identify which forward maturities correspond to a particular forecast, or show that forward yields are unbiased predictions of future spot yields. It also does not discuss risk premia or uncertainty in rate forecasts. The key lesson is that a current spot yield and the market’s implied future rates are different quantities, and forecasts should be compared with the latter carefully.

Key ideas

• Spot yields describe current borrowing rates, while forward yields represent rates implied for future periods.
• An upward-sloping yield curve can have forward yields above spot yields.
• Higher implied forward yields can coexist with a lower current spot yield.
• Forward yields are market-implied rates and are not established here as unbiased forecasts.

Tags

# Why 10 year treasury yield expectation note priced in bond prices?


# Why 10 year treasury yield expectation note priced in bond prices?












A lot of large firms are predicting that the 10 year treasury yield is going to rise. My question is that if such prediction has any substance, shouldn't the current 10 year yield rise accordingly, as people anticipate the higher rates? Shouldn't the current 10 year yield the best prediction of its future value?

## Answer by dm63 (score 1)

https://quant.stackexchange.com/a/32813

Loosely speaking, we use forward yields, not spot yields, to identify the market's estimate of yields in the future. Right now, the forward yields are higher than the spot yields, because the yield curve is upward sloping. So the market is not necessarily inconsistent with the analysts' predictions.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.