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21 Cards in this Set

  • Front
  • Back

Spread duration

Measures % change in relative value


= -Ds x change in spread

Duration of a floating rate bond

Time to next coupon reset / 2

Cell matching

Different than pure replication as manager had discretion in selecting the bonds in each cell to reach required cell weight, also called sampling

Multifactor models

Regression modeling used to select portfolio assets that closely match benchmark risk characteristics



Solves for portfolio allocation, minimizes tracking error



Good - match duration for small parallel shifts


Better - match convexity for larger parallel shifts


Best - match key rate duration, PV of CF and duration contributions to minimize non parallel shifts (yield curve risks)

Key rate duration

Measures % change in bond if only one point on yield curve changes

Bond equivalent yield

2 x 6 month periodic return


Step 1: calc PV of the tail


Step 2: calc FV of the coupons


Step 3: add 1+2 then divide by price then sqrt ^n


(Means payment is 0)


Step 4: multiply by 2 to get BEY

Dollar duration

= $ value x duration x 0.01

Rebalancing ratio dollar duration

Desired DD / Current DD

Spreads

Good = nominal spread = spread vs treasury



Better = zero volatility spread = spread added to spot curve to equate cash flows and price



Best = option adjusted spread = embedded options

Value of a callable bond

= no option bond less call value

Value of a putable bond

= no option bond plus put option

# of future contracts to buy to adjust duration

(Target D - Current D) /


Contract D


x


(Value of Portfolio)


/ Contract price


x


Conversion Factor


x


Yield Beta


Basis


and Basis risk

Basis = diff btw spot of underlying and the futures price



Should converge at expiration and be 0



Risk is unexpected change and your hedge gets messed up

Safety margin

= difference in PV of Assets less PV of liabilities

Contingent "immunization"

Not immunization,


it is active mgmt



Initial overfunding; Requires monitoring of safety margin, if surplus falls to zero then active mgmt failed and go back to real immunization

Duration contribution from foreign bond investment

= foreign bond Duration x country beta relative to domestic

Calc minimum spread widening to eliminate yield adv

= yield adv /


duration



For duration pick the highest one

IRP

States that currency should adjust by diff in int rate



Time period = Annual rate / months

Duration of a fixed rate bond if no other info

Assume 75% of the maturity

Hedged return vs unhedged

Hedged = foreign bond return + IRP



Unhedged = foreign bond + mkt expectation

Popularity bias

Higher demand for asset creates upward pressure on its representativeness on the benchmark



Skew value weighted indices



Best is to use equal weight index