Taylor series expansion 118Risk indications for bondsTaylor seriesÄapproximate price change, given changes inthe YTM( ) () ()()()() ()()()()()() ()()()()() ()()
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1 2*...1 2:
//...1 21!...''1! 2'222
222
22 + ∆ + ∆ − = ∆+ ∆ ∂ ∂ + ∆ ∂ ∂ = − ∆ +− + ∆ ∂ ∂ + ∆ ∂ ∂ + = ∆= +∆ + + ∆ + ∆ + = ∆ +yCXyDP Pyy
Pyy
Pyy
Py y
Py
Py
Pyy
Py P y P y yy
Pyy y
P y P y y Py
Px
fx x f n x x f x x f x f x x fMnnMulti-period deterministic cash flows: FI securities - Market risk