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On August 4, 2020, the 3-year United States Treasury rate was 0.10% and the 7-year UST rate was 0.36%. These were the lowest rates ever.

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On August 4, 2020, the 3-year United States Treasury rate was 0.10% and the 7-year UST rate was 0.36%. These were the lowest rates ever. Assuming that spot and implied forward 3-year and 7-year rates never go below 0.10% and 0.36%, respectively, what is the lowest the 10-year rate can ever go? (Use continuous compounding.)

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