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Thread View: aus.mathematics
3 messages
3 total messages Started by Laurence Sun, 26 Oct 2008 14:50
Interest rates
#79
Author: Laurence
Date: Sun, 26 Oct 2008 14:50
5 lines
884 bytes
Could someone tell me which produces the highest return?

6.1% compounded monthly      or
8% compounded annually.
Laurence
Re: Interest rates
#81
Author: Ken Pledger
Date: Sun, 26 Oct 2008 20:20
16 lines
2124 bytes
In article <6mjat6Fh43agU1@mid.individual.net>,
 "Laurence" <eireneus@xyahoox.com.au> wrote:

> Could someone tell me which produces the highest return?
> 
> 6.1% compounded monthly      or
> 8% compounded annually.
> Laurence


(1 + (0.061)/12)^12  =  1.0627...

so the first alternative amounts to roughly  6.3 %  per annum.  You'd 
definitely do better to go for the second.

      Ken Pledger.
Re: Interest rates
#80
Author: Barb Knox
Date: Sun, 26 Oct 2008 20:23
28 lines
1670 bytes
In article <6mjat6Fh43agU1@mid.individual.net>,
 "Laurence" <eireneus@xyahoox.com.au> wrote:

> Could someone tell me which produces the highest return?
> 
> 6.1% compounded monthly      or
> 8% compounded annually.

The latter (assuming that the 6.1% is the per-month rate * 12, i.e. the 
"APR" in monthly-payment jargon).

The annual rate for an APR R compounded monthly is:
    ((1 + R/100/12)^12 - 1)*100

So an APR of 6.1 percent represents a true annual rate of about 6.27 
percent.
    

> Laurence

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