1. The problem states the formulas for the buyer's and seller's positions in a Forward Rate Agreement (FRA).
2. The buyer's position formula is:
$$\text{Resultado do FRA comprador} = \frac{(T_L - T) \times \text{Montante} \times \frac{n}{12}}{1 + T_L \times \frac{n}{12}}$$
3. The seller's position formula is:
$$\text{Resultado do FRA vendedor} = - \frac{(T_L - T) \times \text{Montante} \times \frac{n}{12}}{1 + T_L \times \frac{n}{12}}$$
4. Here, $T$ is the FRA price (interest rate agreed), $T_L$ is the settlement rate (market interest rate at maturity), $\text{Montante}$ is the notional amount, and $n$ is the number of months until maturity.
5. The formulas calculate the payoff by comparing the settlement rate to the agreed rate, adjusting for the time fraction $\frac{n}{12}$, and discounting by $1 + T_L \times \frac{n}{12}$.
6. The buyer profits if $T_L > T$ (settlement rate higher than agreed), while the seller profits if $T_L < T$.
7. No further calculation is requested, so these formulas summarize the FRA payoff positions clearly.
Fra Position 85Cbe5
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