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  #4  
Old 11-20-2004, 07:11 PM
Blind Broccoli
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Default Re: Taxable vs. TF - which rate?


"Rich Carreiro" <rlcarr[at]animato.arlington.ma.us> wrote in message
news:m3vfc1ses6.fsf[at]animato.home.lan...
- quote -

> I'm using "incremental" in the mathematical term, so it can
> mean positive or negative.
> But in any event, just work it out.
> Assume you currently have principal P in taxable bond fund ABC
> with taxable yield Yt. You then switch P from ABC into tax-exempt
> bond fund XYZ with tax-exempt yield Ye.
> Pulling P out of ABC will reduce pre-tax taxable income by P*Yt. That
> will in turn reduce your taxes by P*Yt*Tm (where Tm is your marginal
> rate). So your after-tax decrease in income is:
> P*Yt - P*Yt*Tm = P*Yt*(1 - Tm)
> Because lowering your taxable income lowers your taxes, your final
> after-tax decrease in income isn't as much as the "raw" decrease
> in income.
> On the other side, putting the P into XYZ increases your pre-tax income
> by P*Ye. Since that income isn't taxable, the after-tax increase in
> income is also P*Ye.
> Since we want the switch to make money, we require that the increase
> in income more than the decrease in income, or
> P*Ye > P*Yt*(1 - Tm)
> Ye > Yt*(1 - Tm)
> or
> Yt < Ye/(1 - Tm)
> --
> Rich Carreiro rlcarr[at]animato.arlington.ma.us


Excellent explanation, thanks!

BB


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  #3  
Old 11-19-2004, 09:35 PM
Rich Carreiro
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Default Re: Taxable vs. TF - which rate?

"Blind Broccoli" <blindbroccoli[at]yahoo.com> writes:

- quote -

> If I sell some taxable bond funds and substitute tax frees, or vice versa, I
> hope by my decision to generate greater after-tax income. But there is no
> guarantee that I have made the right choice. If I am wrong, I will have no
> incremental income. I will have a decline in income.


I'm using "incremental" in the mathematical term, so it can
mean positive or negative.

But in any event, just work it out.

Assume you currently have principal P in taxable bond fund ABC
with taxable yield Yt. You then switch P from ABC into tax-exempt
bond fund XYZ with tax-exempt yield Ye.

Pulling P out of ABC will reduce pre-tax taxable income by P*Yt. That
will in turn reduce your taxes by P*Yt*Tm (where Tm is your marginal
rate). So your after-tax decrease in income is:
P*Yt - P*Yt*Tm = P*Yt*(1 - Tm)
Because lowering your taxable income lowers your taxes, your final
after-tax decrease in income isn't as much as the "raw" decrease
in income.

On the other side, putting the P into XYZ increases your pre-tax income
by P*Ye. Since that income isn't taxable, the after-tax increase in
income is also P*Ye.

Since we want the switch to make money, we require that the increase
in income more than the decrease in income, or
P*Ye > P*Yt*(1 - Tm)
Ye > Yt*(1 - Tm)
or
Yt < Ye/(1 - Tm)

--
Rich Carreiro rlcarr[at]animato.arlington.ma.us

  #2  
Old 11-19-2004, 08:57 PM
Blind Broccoli
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Posts: n/a
Default Re: Taxable vs. TF - which rate?


"Rich Carreiro" <rlcarr[at]animato.arlington.ma.us> wrote in message
news:ur7mqzl8o.fsf[at]animato.arlington.ma.us...
- quote -

> Chris Thomas<cthomas[at]mminternet.com> writes:
> > In trying to compare taxable vs.taxfree investments, I am confused as to
> > which "rate" to use.
> > > I know the formula is ( Tax-eq rate = taxfree / (1-tax bracket) )
> > > I could use either my marginal rate (eg, my federal bracket), or my

> You have to use the marginal rate.
> The effective (or average) rate is meaningless, because
> it tells you absolutely nothing about how the next $1
> will be taxed.
> > Which is the correct way to look at the value of marginal (ie, an
> > additional investment) income, and why?

> Marginal. Because incremental income is taxed at the marginal
> rate, not the average/effective rate.
> --
> Rich Carreiro rlcarr[at]animato.arlington.ma.us


If I sell some taxable bond funds and substitute tax frees, or vice versa, I
hope by my decision to generate greater after-tax income. But there is no
guarantee that I have made the right choice. If I am wrong, I will have no
incremental income. I will have a decline in income. So aren't I just
guessing by plugging in the marginal rate to determine whether or not to buy
tax frees vs taxables, unless this is new money (from outside my investment
portfolio), in which case the marginal rate would obviously be the one to
use?

BB


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  #1  
Old 11-19-2004, 02:25 AM
Ron Peterson
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Default Re: Taxable vs. TF - which rate?

Chris Thomas <cthomas[at]mminternet.com> wrote:
- quote -

> In trying to compare taxable vs.taxfree investments, I am confused as to
> which "rate" to use.


> I know the formula is ( Tax-eq rate = taxfree / (1-tax bracket) )


> I could use either my marginal rate (eg, my federal bracket), or my
> "effective" rate, which is (my tax bill / my AGI). I'm in a high
> bracket. These two numbers are quite different for me.


> Which is the correct way to look at the value of marginal (ie, an
> additional investment) income, and why?


The marginal rate is the one to use because it will show you the change
in income between various investments.

--
Ron

 
Old 11-19-2004, 01:25 AM
Rich Carreiro
Guest
 
Posts: n/a
Default Re: Taxable vs. TF - which rate?

Chris Thomas<cthomas[at]mminternet.com> writes:

- quote -

> In trying to compare taxable vs.taxfree investments, I am confused as to
> which "rate" to use.
> I know the formula is ( Tax-eq rate = taxfree / (1-tax bracket) )
> I could use either my marginal rate (eg, my federal bracket), or my


You have to use the marginal rate.

The effective (or average) rate is meaningless, because
it tells you absolutely nothing about how the next $1
will be taxed.

- quote -

> Which is the correct way to look at the value of marginal (ie, an
> additional investment) income, and why?


Marginal. Because incremental income is taxed at the marginal
rate, not the average/effective rate.

--
Rich Carreiro rlcarr[at]animato.arlington.ma.us

  #-1  
Old 11-19-2004, 12:18 AM
Chris Thomas
Guest
 
Posts: n/a
Default Taxable vs. TF - which rate?

In trying to compare taxable vs.taxfree investments, I am confused as to
which "rate" to use.

I know the formula is ( Tax-eq rate = taxfree / (1-tax bracket) )

I could use either my marginal rate (eg, my federal bracket), or my
"effective" rate, which is (my tax bill / my AGI). I'm in a high
bracket. These two numbers are quite different for me.

If I consider Calif. munis vs corporate bonds, if I use my tax bracket,
munis are clearly the better deal. However, if I use my effective rate,
it looks like corporates win. I have a gut feeling that my marginal rate
is the correct way to evaluate marginal income, but I'm suspicious about
the degree of difference.

Which is the correct way to look at the value of marginal (ie, an
additional investment) income, and why?

Thanks for any insights,
/Chris

 

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rate, taxable
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