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2#
发表于 2013-4-17 17:59
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I been using Schweser and I dont think they covered this, at least I dont remmber.
But I just took a look at it and I think I can help. Anyway thanks for bringing it to my attention.
I guess if I explain one node, you should get the rest, I am assuming you understand all that is explained before page 312.
Look at node NHHH in exibit 21
the value of any node is te PV of the val at its child nodes
its child nodes NHHHH and NHHHL both have a val of 100
since that is what a bond pays at exp, its face value
but you will also get 9.1987 coupon with that 100
the 9.1987 is decided at point NHHH
when we are at “time” NHHH the interest rate is 9.1987 and thus that is the what you will get in the upcomming period…thats just how a floater works
so discount ((100+9.1987)+(100+9.1987))/2
using the rate of 9.1987
and you get 100
is a matter of fact for a floater the value at reset is always a face value, because that bond will pay you what you require, it is always reset to market…
remmber if a bond is paying less than it should, its value will go down
if it is paying more than it should, its value goes up
well guess what, a floater always pays what it should….so its always worth face val on rest dates….
now exibit 22, has a slight diff that exibit 21…
here at node NHHH the rate is 9.1987
if this was a regural floater, you should get 9.1987 at the end of the period
but since it is a caped floater, and it is capped at 7.25, you will get 7.25
so your value at NHHH is ((100+7.25)+(100+7.25))/2
discounted at 9.1987
=98.215
common sense sais, a capped floater will always be worth less than a normal floater…
because it will never pay you more that a normal floater, but it could pay you LESS
i guess if a thing called “floored floater” exists, it would have to be worth more than a normal floater because it can pay you MORE but not LESS…..
this is the first time i see this stuff, but i think i did an OKAY job explaining it….
i realy dont like how the coupon in the tree is placed at the time it is decided…
maybe if it was placed at the point it is paid, it would have been much easier for you to see it???? |
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