
Answer-first summary for fast verification
Answer: -\$2,570
**Correct answer: B — -\$2,570** 1. Compute the forward rate between 1.0 and 1.25 years using continuous compounding: \[ f(1.0,1.25) = \frac{4.0\% \times 1.25 - 3.0\%}{0.25} = 8.0\% \] 2. Convert this to quarterly compounding: \[ R_f = 4\left(e^{8.0\%/4} - 1\right) = 8.0805\% \] 3. The holder earns 7.0%, which is below the forward rate, so the FRA has negative value: \[ V = \left[1{,}000{,}000 \times 0.25 \times (7.0\% - 8.0805\%)\right] e^{-4.0\% \times 1.25} \approx -2{,}570 \] Thus, the FRA value is **-\$2,570**.
Author: Manit Arora
Ultimate access to all questions.
A
-`$2`,701
B
-`$2`,570
C
+`$2`,570
D
+`$2`,701
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