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Choosing a Risk-Free Rate Across DCF Cash-Flow Dates

Article Quant Q&A · Author: justbegancoding
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Summary

The discussion explains how the risk-free rate used in a discounted cash flow valuation can reflect the timing of projected payments. It suggests matching near-term cash flows with short-maturity Treasury rates and later cash flows with rates closer to their payment dates, with interpolation for dates between available maturities. This frames the rate choice as a term-structure problem rather than a single fixed decision for the entire forecast.

A separate answer describes the three-month US Treasury bill as a practical proxy for dollar-valued assets. The exchange offers brief guidance rather than a full valuation framework: it does not address how to build a complete yield curve, apply rates consistently within cost of equity, or handle the terminal value and other modeling assumptions. The appropriate proxy may also depend on currency and valuation context.

Key ideas

  • Risk-free rates can be matched to the maturities of the cash flows being discounted.
  • Short-dated cash flows may use short-term Treasury yields, while distant payments may use longer-maturity yields.
  • Interpolation can provide rates for cash-flow dates between quoted maturities.
  • A three-month US Treasury bill is offered as a practical proxy for dollar-denominated valuation.

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Fixed incomeEquitiesStatistics
Full text
# Which Risk Free rate to use?


# Which Risk Free rate to use?












I am trying to value a food and beverage company using DCF. I have forecasted the short term projections for 10 years and calculated a terminal value there after. But I am confused with which risk free rate to use for calculating cost of equity. I have three options - 1 year T-bill yields, 10 Year Treasury Yields and 30 Year Treasury Yields.

## Answer by Dom (score 1)

https://quant.stackexchange.com/a/66530

The choice of discount rate should be linked to the payment dates of your cash flows. For cashflows in the near future, use the 3-month T-Bill rates, but for those in 10 years you should use 10-year T-Bond rates. For those in-between, do some sort of time interpolation between 3M and 10Y depending on the time of the cashflow. This is perhaps the simplest correct approach that best uses the limited interest rate data you have.

## Answer by maluwalmk (score 0)

https://quant.stackexchange.com/a/66128

There's no single best risk-free rate but the 3-month US Treasury Bill is a good proxy for assets valued in USD.

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.