Any Econ people here? How to calculate real interest rates??

Syringer

Lifer
Aug 2, 2001
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3
71
If the nominal interest rate is 10%, inflation is 4% and there is a marginal income-tax rate of 30%, what will be the real interest rate paid on mortgages?
Answer:


a. -1%


b. 1%


c. 3%


d. 6%


I didn't think the marginal income-tax matters, so it's just 10-4% = 6%.. but according to here.. http://www.economist.com/surve...y.cfm?Story_id=1794899

" For instance, if interest rates are 10% and inflation 8%, and your marginal income-tax rate is 40%, then the real interest rate you pay is minus 2%. With 4% interest rates and 2% inflation (ie, the same pre-tax real interest rate), the real after-tax rate is plus 0.4%."

Which is not just the nominal interest minus inflation..

Anyone know how to get that answer?
 

hdeck

Lifer
Sep 26, 2002
14,530
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0
6%

real interest rate = nominal interest rate adjusted for inflation.
 

Evadman

Administrator Emeritus<br>Elite Member
Feb 18, 2001
30,990
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I hear spiders are good at math.

You knew that was coming.
 

Syringer

Lifer
Aug 2, 2001
19,333
3
71
Originally posted by: hdeck
6%

real interest rate = nominal interest rate adjusted for inflation.

But check out the link, it says when interest rate is 10% and inflation is 8%, with a marginal income rate tax of 40%..real interest is -2%..however with 4% interset and 2% inflcation, "real after tax rate" is .4%?
 

slydecix

Golden Member
Jul 16, 2001
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It's C. You don't collect interest on the money that's taken away by income taxes. So you're essentially getting a .10 * 70% = .07 rate after taxes. Subtract the .04 inflation and you get .03
 

z0mb13

Lifer
May 19, 2002
18,106
1
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Originally posted by: hdeck
income tax rate doesnt affect it...

I think the tax rate is for the tax shield for paying mortgage (mortgage payments are deductible)

 

Syringer

Lifer
Aug 2, 2001
19,333
3
71
Originally posted by: Elitebull
It's C. You don't collect interest on the money that's taken away by income taxes. So you're essentially getting a .10 * 70% = .07 rate after taxes. Subtract the .04 inflation and you get .03

AHH, IF ONLY YOU POSTED THAT BEFORE I SUMBITTED MY QUIZ :(

Thanks though, now I'll know.
 

Kibbo

Platinum Member
Jul 13, 2004
2,847
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Originally posted by: Syringer
Originally posted by: Elitebull
It's C. You don't collect interest on the money that's taken away by income taxes. So you're essentially getting a .10 * 70% = .07 rate after taxes. Subtract the .04 inflation and you get .03

AHH, IF ONLY YOU POSTED THAT BEFORE I SUMBITTED MY QUIZ :(

Thanks though, now I'll know.

Yes, and there is a difference between the real interest rate (i-inflation) and after tax real interest rate (i - inflation - tax on investment income).

The way you phrased it messed me up.
Too much economics and too little accounting here.