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6 total messages Started by Mike Umansky Thu, 06 Mar 1986 02:42
zero-coupon bonds
#1080
Author: Mike Umansky
Date: Thu, 06 Mar 1986 02:42
22 lines
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I need help with understanding zero-coupon bonds.
I would like to know how much of federal zero-coupon bonds
do I have to buy now to get $100,000.00 at its 10 year maturity.
I would also like the same info for 5 year maturity.
Also, is there a formula that I can use to calculate the
return of these bonds based on initial purchase value and maturity time??
Also, what about tax implications at the time of purchase and the time
of getting cash back after maturity.  What am I liable for in both
instances???  Any help is greately appreciated!!!
-- 
--
		NAME:	Michael Umansky (misha)
		E-MAIL: ucbvax!hplabs!nsc!daisy!misha
		WORK:
			Daisy Systems Corp.
			700B Middlefield Road
			Mountain View, CA  94039-7006
			(415) 960-7166 (work)
		HOME:
			94 Cassia Ct.
			Hayward, CA  94544
			(415) 886-4805 (home)
Re: zero-coupon bonds
#1084
Author: ekrell
Date: Sat, 08 Mar 1986 07:04
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one problem with zero coupon bonds (besides them being more volatile to
interest rate changes than most other bonds) is that, as I understand it,
you pay taxes for the interest the bond yields even though you don't get
a penny of that money until maturity. Could be a bad deal.
-- 
    Eduardo Krell               UCLA Computer Science Department
    ekrell@ucla-locus.arpa      ..!{sdcrdcf,ihnp4,trwspp,ucbvax}!ucla-cs!ekrell
Re: zero-coupon bonds
#1091
Author: Brian Gordon
Date: Mon, 10 Mar 1986 00:08
8 lines
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In article <9725@ucla-cs.ARPA> ekrell@ucla-cs.UUCP writes:
>one problem with zero coupon bonds (besides them being more volatile to
>interest rate changes than most other bonds) is that, as I understand it,
>you pay taxes for the interest the bond yields even though you don't get
>a penny of that money until maturity. Could be a bad deal.

Which is, of course, why they are most often recommended for IRAs, which are
all tax-deferred anyway ...
Re: zero-coupon bonds
#1108
Author: Frank Adams
Date: Tue, 11 Mar 1986 00:16
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In article <150@daisy.UUCP> misha@daisy.UUCP (Mike Umansky) writes:
>I need help with understanding zero-coupon bonds.
>I would like to know how much of federal zero-coupon bonds
>do I have to buy now to get $100,000.00 at its 10 year maturity.
>I would also like the same info for 5 year maturity.

Since bonds, including zero coupons, are also quoted in terms of par value,
the answer in either case is that you need to buy $100,000 of bonds.
Of course, you need to know the current price of the bond in order to
know what this will cost you.

>Also, is there a formula that I can use to calculate the
>return of these bonds based on initial purchase value and maturity time??

If y is the yield expressed as a fraction (e.g., 8% is .08), P is the par
value, C is the current value, and n is the number of years to maturity, then

            P
   C = -----------
               n
          (1+y)

(This is actually an approximation, but it is close enough for most
purposes.)  Solving for the yield, we get:

            (1/n)
   y = (P/C)      - 1

This is not easily computed on a four-function calculator, but should be
no problem if you have access to a computer (a reasonable assumption).

>Also, what about tax implications at the time of purchase and the time
>of getting cash back after maturity.  What am I liable for in both
>instances???  Any help is greately appreciated!!!

I believe, under current law, you are liable for taxes every year that
you own the bonds, even though you are recieving no payments.  At one
point, the taxable income was computed by linear interpolation from the
price you paid (in other words, if you paid $5,000 for a bond with a
$10,000 par value maturing in ten years, you were taxed on $500 per year).
Today I think a formula closer to current value formula above is used.
(However, the critical date is the date the bond was issued, not when
you bought it.)  I would recommend talking to an accountant before you
purchase a zero-coupon bond in a taxable environment.

Frank Adams                           ihnp4!philabs!pwa-b!mmintl!franka
Multimate International    52 Oakland Ave North    E. Hartford, CT 06108
Re: zero-coupon bonds
#1094
Author: stern
Date: Tue, 11 Mar 1986 19:38
77 lines
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Here's a little on zero coupon bonds:

1. What They Are

A zero coupon bond (or zero for short) is a bond that pays no interest to you
during its life.  When it matures, you get the face value of the bond from
the issuer.  As a result, they are priced with an implicit yield -- the bond
sells at a deep discount.  To figure out how much a zero coupon bond is yielding,
consider that the yield is the equivalent rate of compound interest your money
would earn if invested elsewhere.  If you invest X dollars for N years at R%
yearly interest, then after the N years you have:

	X' = (1+R)^N * X

Example: invest $100 in a 5% checking account for 2 years.  In 1988 you'd have
 100 * (1.05)(1.05) = $106.25

To determine the yield of a zero-coupon bond, you have X' (the face value of
the bond), you know X (the price you pay for it), and you know N - the number
of years until maturity.  Plug into the equation above and solve for R.  Most
zeros are yielding 9-9.5% right now.

2. Where They Come From

Zeros are issued by corporations (Allied Chemical has lots) or through brokers.
Some corporations will issue them to get some cash now without having to service
the debt for 15-20 years.  Later on, they can just pay off the bonds in one
shot.  The Allied Chemical zeros due in 2006 or so are going for about $130 each
right now.  The other source of zeros is brokers, who sell them as CATS or STRIPS.
CATS stands for Certificates of Accrual on Treasury Securities;  STRIPS is
something similar (Treasury Receipts for Interest....whatever).  As you can
guess, brokers bundle up treasury securities (T-bills and the like) and then
pull off the coupons.  They sell you a certificate representing the bare bond,
with no coupons attached -- they also collect the coupon interest every 6 months.
CATS and STRIPS are usually $1,000 face value bonds and a 20-year zero now
sells for about $230-$250.  Zeros traded on the NYSE are listed in your favorite
financial paper with other NYSE bonds.  They are usually marked zr where the
yield/maturity go in the listings.  The prices listed are per $100 face value,
so multiply by 10 for a $1,000 bond.

3. How to Have $100,000 in 5,10,20 Years

If you want $100,000 in 5 years, buy 100 $1,000 face value zeros due in 1991.
This will probably run you $60,000 plus commissions.  For $100,000 in 20 years,
buy 20-year zeros, which would be about $22,000.  You can tell what the bonds
will be worth at maturity quite easily: it's the face value.  

4. Things to Remember

A. The Feds tax implied interest
The goverment will make you pay taxes on the "interest" your money earned
implicitly while you were holding the zero.  The implicit interest is usually
reflected as a change in the market value of the bond, but there are explicit
formulae for determining it.  Zeros are best purchased for (a) your kids,
who won't pay taxes on that small amount of interest (b) your IRA, where
the interest isn't taxed.  

B. Brokers who sell you STRIPS may hide commissions
Most brokers bundle commissions into the cost of the zero coupon bond.
They'll quote you $260 for a 20-year zero, which may include $30 of their
commission.  When calculating your return, include their commission, not
just the price listed in the bond section of the paper.  Some brokers say
"we don't charge you commission on the bond" and they're right -- they
just set a higher price for the securities they package and sell.

C. Rising interest rates hurt zeros badly
Zeros are priced to yield market rates plus a small premium.  If rates
go up, the market price of your zeros will go down so that the implied
yield increases to the current market yield.  The effect is much more
pronounced with zeros than it is with regular bonds.  As an example of
this effect in reverse, look at the Allied Chemical zr06:  it came out
at about $90, and shot up to $135 when interest rates slid just a little.
A nice 50% gain for people who bought into them.  

--Hal Stern
  Princeton University
  {ihnp4, seismo, allegra}!princeton!stern
Re: zero-coupon bonds
#1101
Author: J.LISS
Date: Wed, 12 Mar 1986 21:53
10 lines
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It is my understanding that unless the bond pays signigicantly more than
other saving media it is of now tax advantage.  I have purchased 4 zero
coupons bonds for my sons education and will do like wise when I have another
child.  I have been told by Shearson Lehman, that every year I will have
to file a return for him, (the bonds are in both our names, his ss #).
The return will indicate the earned interest for the year even though we didn;t
collect any of it.  At some point I will have to start paying income tax for
him.  I beleive zero coupon bonds are an excellant vehicle for those that
want security and save for a childs education.  I don't see any other reason for it.
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