**Fixed Income II**

**Reading 46. Understanding Fixed-Income Risk and Return**

**Learning Outcome Statements**

g. calculate and interpret the money duration of a bond and price value of a basis point (PVBP);

*CFA Curriculum, 2020, Volume 5*

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### Subject 5. Money Duration of a Bond and the Price Value of a Basis Point

*percentage price change*of a bond to a change in its yield-to-maturity.

**Money duration**measures the

*absolute price change*.

To calculate absolute price change:

ΔDirty Price = - Money Duration x ΔYield

In the U.S., money duration is called

**dollar duration**. It is the approximate dollar change in a bond's price for a 100 basis point change in yield.

The

**price value of a basis point**(PVBP) is the absolute change in the price of a bond for a one basis point change in yield. It is simply the money duration of a bond for a one basis point change in yield.

*Example*

Scott Marsh from Mass Avenue Research Management purchased a bond for a price of 93.555. This bond has a coupon of 14.70% and a modified duration of 3.00. Given market interest rates of 10.00% and a change in market rates of -66 basis points, what is the price value of a basis point?

The answer is the modified duration x 1 basis point x bond price or 3.00 x .0001 x 93.555 = $0.0281

Note: The other information has been placed into this question as a distraction. Don't be fooled by extraneous data!

To calculate PVBP:

P

_{-}is the full price calculated by lowering the yield-to-maturity by one basis point.

P

_{+}is the full price calculated by raising the yield-to-maturity by one basis point.

###
**User Contributed Comments**
9

You need to log in first to add your comment. ###### kalps

You have screwed up in the first calculation - the naswer is 0.280665 - did you hurry the las part of these notes up or something ???

###### shasha

kalps: the answer for the first calculation is correct. Personaly, i like the example, it tells you how to use PVBP and its meaning by making some "noise" in the question. the last two examples do seem redundant, but didn't hurt me.

###### shasha

one more, i'd say the last two examples were trying to tell us: "percentage price change for 1BP" = duration/100, 'coz duration is actually percentage price change for 100BP. in the example, the percentage price change for 1BP is 0.1066 percent. have to say explanation to this LOS is not as beautiful as others.

###### zax4

always second guess Kalps

###### AusPhD

I have never heard better advice

###### uberstyle

Agreed. I started ignoring his comments after he went 0 for 10.

###### steved333

HAhaha!! You guy are harsh!

###### joe10001

LOL Don't give up kalps!

###### khalifa92

Remember

Dollar duration: 0.01 * Modified Duration * Full price

PVBS: 0.0001 * Modified Duration * Full price