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Jan 27, 2023 at 20:49 comment added L. Francis Cong @GustavoLouisG.Montańo I am not sure if I understand your question, but I put my thought on their method in the main answer. Also I don't think their detailed methodology is publically available given that it is proprietary.
Jan 27, 2023 at 20:48 history edited L. Francis Cong CC BY-SA 4.0
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Jan 27, 2023 at 14:50 comment added Gustavo Louis G. Montańo Fantatsic. One last question: While $\tau$ is fixed in our example, in reality, there are a set of dates that $\tau$ needs to be applied to. How is this done? In other words, perhaps, say I have SOFR term structure. How would I derive the 3M curve from this? I'll be sure to read the documentation available, though, curious to hear your thoughts.
Jan 27, 2023 at 14:48 vote accept Gustavo Louis G. Montańo
Jan 27, 2023 at 14:31 comment added L. Francis Cong @GustavoLouisG.Montańo Yeah. You are right. I've modified my answer.
Jan 27, 2023 at 14:30 history edited L. Francis Cong CC BY-SA 4.0
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Jan 27, 2023 at 13:44 comment added Gustavo Louis G. Montańo Hi @L. Francis Cong. – thank you very much for your reply. Your knowledge is excellent, and I appreciate your time. Is it possible that you are missing a $-1$ at the end, thereby giving $R_{t,t+\tau}$ a rate intepretation? That is $$ R_{t,t+\tau}=\mathbb{E}^Q\left[\prod_{s=t}^{s=t+\tau-1}\left(1+\frac{d_sr_s}{360}\right)\right]-1 $$ With this definition I believe I understand what $X$-M SOFR represents. $X=\tau$ in your explanation, and it is simply the forward interest rate, starting at $t$ and maturing at $\tau$ periods later. Ah - yes - we add a risk-premium to the SOFR.
Jan 27, 2023 at 12:28 history answered L. Francis Cong CC BY-SA 4.0