**Overview**

There are various SOFR rates/calculation methodologies which often leads to confusion. In this resource we touch on the key differences between the various indices to help shed some light on what is what.

**SOFR**

This is the volume weighted median derived from the borrowing rates of actual repo transactions, or the cost of borrowing cash overnight collateralized by Treasury securities. For that reason, it’s often referred to as overnight SOFR.

The NY Fed calculates and publishes SOFR each morning using the data from the preceding business day and it’s the basis for all other SOFR calculation methodologies. You can find the updated data **here** or on Bloomberg under ticker <SOFRRATE>.

**Daily Simple SOFR**

This is a simple interest calculation. The hedge/loan accrues interest daily based on SOFR and the total amount due is known at the end of the period.

If the notional is constant, the total interest accrued would be the same as applying the simple average of the SOFR resets at the end of the period.

**SOFR Average**

This is the compounded average of SOFR from the previous 30, 90, or 180 days. In other words, it’s a rolling compounded average which is updated daily by the NY Fed after SOFR is published. The NY Fed publishes SOFR Averages **here** and 30D SOFR can be found on Bloomberg under ticker <SOFR30A>.

__Compounded in Advance__

Since SOFR Average is compounded based on the preceding SOFR prints for the respective term, it’s often referred to as compounded SOFR set in advance and is the index currently being used on Agency financings.

Loans based on SOFR Average are technically using SOFR from the previous month, but since the rate is set in advance like LIBOR, borrowers still know their rate at the beginning of the period.

__Compounded In Arrears__

SOFR Average can also be used “in arrears”. This means that the interest due is based on rates published during the interest period, but the payment would not be known until the end of the period.

Whether you’re using a compounded average set-in advance or set in arrears, interest rate hedges are available from several counterparties. Read more about Agency SOFR caps **here**.

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**SOFR Index**

SOFR Index is used to calculate the compound average of SOFR over a *custom* time period. In other words, it can be used to calculate the compounded average of SOFR over a 28 or 31 day period, whereas SOFR Average would always be 30 days. The NY Fed publishes SOFR Index alongside SOFR Averages **here** and the index can be found on Bloomberg under ticker <SOFRINDX>.

The sole value of SOFR Index on any given day is of little value, but this is because the index is a means rather than an end. To calculate the interest rate, the ratio of two values (the period start and period end) are used to calculate compounded averages.

SOFR Index is based on the same calculation methodology as SOFR Average, so calculating the rate using the same start and end dates as SOFR Average should produce materially similar results. Note, there will likely be minor differences due to rounding. Here’s an example comparing SOFR Index and SOFR Average:

__Date SOFR Index __

3/2/2020 1.04085026%

4/1/2020 1.04136820%

[(1.04136820% / 1.04085026%) – 1] * (360/30) = 0.59713% which matches the 4/1/2020 30D SOFR Average print.

**ISDA SOFR**

This index is published by Bloomberg under ticker <FUS0001M Index> and is being used as ISDA’s replacement for LIBOR based hedges. This variation is also a form of compounded SOFR in arrears and is the sum of (i) the Adjusted Reference Rate and (ii) the Spread Adjustment, each for the relevant LIBOR tenor.

Adjusted Reference Rate

- This is a compounded average rate calculated using SOFR Index, meaning it’s almost identical to the NY Fed’s SOFR average set in arrears.

Spread Adjustment

- Since LIBOR is an unsecured lending rate and SOFR is a secured overnight rate, LIBOR has historically been higher than SOFR, so a spread adjustment is necessary to make SOFR more comparable.
- The adjustments, which were fixed in early March, were based on the five-year median difference between LIBOR and SOFR.

Since ISDA SOFR is meant to serve as a replacement for LIBOR, the difference between the two rates is minimal. Check out our white paper **here** for more on how the transition will change your rate.

Keep in mind – ISDA SOFR is set in arrears where LIBOR was set in advance. In lieu of the rate being determined two business days prior to the *beginning* of the interest period, it will be known two business days prior to the *end* of the period.

**Forward-Looking Term SOFR**

The creation of a forward-looking term SOFR index is the final step in the ARRC’s Paced Transition Plan. This rate is desirable since it would be set in advance like LIBOR, so the payment is known at the beginning of the period. However, sufficient depth in the SOFR derivatives market will be required before the ARRC recommends a rate for use.

The target date for completion was mid-2021, but a recent **publication** by ARRC suggests that a forward looking index will not be available until late 2021 at best. While the ARRC is unable to give a timeline, they urge market participants to continue transitioning away from the use of LIBOR and not wait for the forward looking term rate to be published.

**Rate Adjustment Conventions**

Both simple and compounded SOFR interest calculations will use the same rate adjustment conventions. The rate from the preceding business day is applied over weekends or holidays and is weighted by the number of days until the next good business day.

**Conclusion**

Given the volatility in overnight SOFR, some form of average SOFR (whether simple or compound) will undoubtedly be used until a forward looking term rate is available.

One interesting fact we came across is that the difference between a simple and compounded average of SOFR over the previous two decades would have only ranged from 0-10 bps. Given how similar the terminology and rates are, it can be tricky to determine which index is being discussed, but at the end of the day they all shake out to be about the same.

Below we’ve included some helpful links if you’d like to dig in more. Should you have any questions, please don’t hesitate to reach out.

- Everything You Need to Know about SOFR by Pensford
- SOFR News & Industry Resources by Pensford
- https://www.newyorkfed.org/medialibrary/Microsites/arrc/files/2021/users-guide-to-sofr2021-update.pdf
- https://www.newyorkfed.org/medialibrary/Microsites/arrc/files/2020/ARRC_SOFR_Synd_Loan_Conventions.pdf
- https://www.newyorkfed.org/medialibrary/Microsites/arrc/files/2021/arrc-press-release-term-rate-for-publication
- https://www.newyorkfed.org/medialibrary/Microsites/arrc/files/2021/USD-LIBOR-transition-progress-report-mar-21.pdf

Click to Open: The Pensford Letter PDF