Macaulay duration definition
The weighted average time to receive a bond’s cash flows
Modified duration definition
A multiplier to expected changes in YTM used to estimate approximate changes in bond price
Approximate price change
-Mod Dur x Change in YTM
Approximate modified duration
(V_- + V_+)/(2 x V_0 x Change in YTM)
Money duration formula
Money duration
Estimates the approximate change in value for a given change in yield
Price value of a basis point
The change in value if the YTM changes by one basis point
Interest rate consequence
1) Long maturities have higher risk
2) Lower coupons have higher risk
3) Lower YTM have higher risk