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 10:09, October 23, 2016, from http://www.megaessays.com/viewpaper/43828.html