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#1 2010-07-04 03:03:55

atut
Member
Registered: 2008-04-23
Posts: 30

Intrests

$49,700 at 9.6% compoundeed quarterly for 3 1/4 years

Can someone please show my how to work it out in the eaisiest, simplest method.

Thanks:)

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#2 2010-07-04 05:36:07

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

Re: Intrests

Interest = 49700[(1 + 0.096)[sup]13[/sup] - 1]

Last edited by ZHero (2010-07-04 05:37:53)


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#3 2010-07-04 07:14:39

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Intrests

Hi atut;

I am getting:

Probably should be:

I = 49700 ( 1.024)^13 = 67648.13

I used this interest calculator here.

http://www.mathsisfun.com/money/compoun … lator.html

Best I can remember is that when interest is compounded quarterly you have to divide it by four. You don't take 9.6% four times per year but rather 2.4% every 3 months.

I am just seeing soroban posting below this, he agrees with this.


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If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#4 2010-07-04 07:18:30

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Intrests

. .




.

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#5 2010-07-04 16:47:58

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

Re: Intrests

Hi atut!
The question should mention that "9.6% per annum compounded quarterly" for that too work.
Anyways, I think that 9.6% interest quarterly is equivalent to 38.4% per annum which is too much hence take it to be 9.6% per annum!


If two or more thoughts intersect, there has to be a point!

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#6 2010-07-04 18:05:24

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Intrests

.


. .



. .


.

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#7 2010-07-05 05:20:54

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

Re: Intrests

You're RIGHT Soroban about the Convention!! smile


If two or more thoughts intersect, there has to be a point!

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#8 2010-07-07 20:30:12

Bob
Administrator
Registered: 2010-06-20
Posts: 10,583

Re: Intrests

If an interest rate is 9.6 per annum that's equivalent to multiplying the principal by 1.096.

To find what this is as a quarterly rate find the fourth root of !.096 = 1.023181....

which is an interest rate of 2.3181%.

That's how credit card amd loan companies work.


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