Plain-vanilla fixed-for-floating swap, valued from the fixed-rate payer's perspective. Simplifying assumption: a single flat curve, so the forward rate equals the discount rate. Discount factors use DFi = 1 / (1 + r/m)i.
PV Fixed Leg
$179,652
PV Floating Leg
$179,652
Swap Value (to payer)
$0
Par Swap Rate
4.000%
At par (value ≈ 0)
PVfixed = N · (c / m) · Σ DFi · PVfloat ≈ N · (1 − DFN)
Value to payer = PVfloat − PVfixed · Par rate = m · (1 − DFN) / Σ DFi
Annuity Σ DFi = 8.9826 · final DFN = 0.8203