It’s based on a 60-day reference rate: the loan’s for 2 months, not 3.
In an m × n FRA, the loan starts in m months and ends in n months; it’s an (n – m)-month loan. So, in a 1 × 3 FRA, the loan starts in 1 month and ends in 3 months; it’s a 2-month loan.
It says that at expiration of a FRA, neither party will borrow from or lend to the other at expiration. I thought when the FRA expires after 1 month, that’s when the lending and borrowing starts for 2 months?
Is this just saying that there’s no physical lending/borrowing, and FRAs are cash settled only one way?
That’s correct: there is no actual lending; an FRA is settled at expiration (at the beginning of the loan period) for the present value of payment that would be made at the end of the loan period (if the money were actually lent).