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11 Cards in this Set

  • Front
  • Back

Spot yield curve X and y


Discount factor


Discount function


Graph of rate against period


Today's rate if 1dollar to be received in different period ( 6 months, or 1 year and so on. )


Discount factor and spot rate mapping for different period


Forward curve


3 yr loan starting at t2


F for price ( calculate by discount factor),


f for rate

Rate. .. r ( t,1) against period ,


If spot curve is upward sloping then forward curve will be upward sloping


Cube root of (1+r2)(1+r3)(1+r4)

If forward rate given spot rate

Eg: 3 √ r3,1;, r4,1,;5,1

Forward rate model

Relation btw spot curve and forward rate curve

Find spot if series of fwd rate given

Spot price is a geometric mean

Yield to maturity against spot rates

Weighted avg

Ytm is expected return?

Expected return is not ytm, it's calculation is annualised hpr


Hpr


Annualised hpr


End - original/ original. Fv- PV/PV


(1+hpr) power nth root of no of years ie 1/t.

f(1,1) > r(2)


f(1,2) > f(1,1)


,In eg it's year fwd


If r(30) then max fwd is f(4,26)


Why yield and price are inverse in relationship ??

riding the yield curve


Wider the spread , longer the bond, greater the total return.