#### DURATION SENSITIVITY AND PLA IN BONDS 4 Pages 1101 Words

Subject: DURATION, SENSITIVITY AND PLA IN BONDS
I would like to help some of you with a general explanation on how to
calculate sensitivity and PLA in bonds. Many of you may know these
but I prefered to send a general message. Please disregard this CM if
The market factor (what generates the risk) in a bond, is the yield
(the interest rate embedded in the investment). This means that the
Position Sensitivity should relate to changes in yields. This
then, multiplied by the volatility of the yields, would give us the PLA
associated with the bond positions (expected portential loss if the
To calculate the Position Sensitivity, first of all, you should know the
"modified duration" of the bonds that you are holding.
Duration is defined as the equivalent tenor in a bond, expressed in
of a zero coupon bond (a bond that has only one payment at maturity and
This means that for example, an investor should be completely indiferent
to invest in a zero coupon bond of 2.25 years than in a 4 years bond
say with annual principal and interest payment) with also a 2.25 years
How to calculate this duration (also known as Macaulay duration):
Let's suppose this bond's cash flow:
(\$100 bond with 4 equal annual principal payment and 10% interest rate
Let's also assume that we bought at \$96 (at discount), equivalent to a
Coupons Disc at 12% % on price coupon tenor (1) * (2)
Ppal+ Interest in years (1) (in years)(2)
--------------------------------------------------------------------
1 25+10 = 35 31.25 33% 1 0.33
2 25+ 7.5= 32.5 25.91 27% 2 0.54
3 25+ 5 = 30 21.35 22% 3 0.66
...

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DURATION SENSITIVITY AND PLA IN BONDS. (1969, December 31). In MegaEssays.com. Retrieved 17:09, January 18, 2017, from http://www.megaessays.com/viewpaper/43828.html