Fixed inc Flashcards
PVfull
PVfull = PVflat + Accrued Interest
Periodicity
(1+APRm/m)^m = (1+APRn/n)^n
Discount basis
Pv=Fv(1-t/T DR)
Disc rate = t/T[(fv-pv)/fv]
Add on basis
Pv = fv/ (1+t/T AOR)
AOR = T/t[(fv-pv)/pv)]
Forward curve
2y1y
When what
2 year bond for 1 year
(1+r1)(1+implied forw rate)=(1+r2)^2
Types of yield
True yield - weekends not included
Current yield - annual PMt/PVflat
Simple yield - (ann pmt+st amort of gain/loss)/PVflat
Float Rate Note - coupon tied to libor
Libor
Libor + Quoted Margin (QM) - issuer (spread) + discount margin(DM) - market
pV = [(Libor + Qm) x Fv)/2]/m/[1+ ((Libor+DM)/m)]^n
I/y = libor + dm / n
Properties of a bond
Longer bond - more volatile
Lower pmt - more volatile
Macalay Duration
Ęweighted CF/ PVfull
Shows how long we have to keep bond so extra valuation offset the loss of reinvestmnt
Modified Duration
And
Approx Mod Dur
Annualized Macalay Dur/ (1+r)
Approx mod dur = pv- - pv+ / 2xchange in yield x PVo
Effective Duration
Pv- - Pv+ / 2xchange in curve xPVo
Curve is sensitive to benchmark yield (govt, spot, par)
Key rate Duration
Pv- - Pv+ / 2x change in rate xPVo
Duration at specific maturity of the yield curve to get %change in portfolio value
ĘKey Rate Dur = Eff Dur
Properties of Duration
Longer Time to Maturity leads to longer Duration
Lower coupon leads to longer Duration
Lower Yield to Maturity longer Duration
But its all subject to interest rate risk
Money Duration
Annual Modified Duration x PVfull
PVfull
PVfull= -money Duration x change in Yield