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Go Back   { mindfrost82.com } > Gadget Corner > Tech Newsgroups > Microsoft > MS Office > Excel

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  #1 (permalink)  
Old 07-05-2008, 01:18 AM
ibvalentine@hotmail.com
 
Posts: n/a
PV, Annuity, Lump Sum

I am looking at John Walkenbach's Excel 2007 Formulas. On page 302, he
has the result of a formula that I think is an error. I am not
confident enough to be sure. In fact, my answer doesn't look right.
The formula is based on the following scenario:

Your brother-in-law wants you to invest in his carpet cleaning
business. If you'll invest $50,000 now, he will pay you $200 per month
for five years and also pay you $60,000 at the end of the five years.
Are you making a good investment?

Here are the arguments:

Rate: 0.8%
Period: 60
Payment: $200
FV: $60,000
Type: 1

Walkenbach's answer: $45,958.83 based on this formula: =PV(0.8%, 60,
200, 60000, 1)

My answer: $69,309.80 based on this formula: =PV(0.8%/12, 60, 200,
60000, 1)

The difference between the two answers is in the first argument. I
can't understand why you do not divide the rate by 12 since we are
dealing with monthly payments.

Thanks
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  #2 (permalink)  
Old 07-05-2008, 01:28 AM
ibvalentine@hotmail.com
 
Posts: n/a
Re: PV, Annuity, Lump Sum

On Jul 4, 5:18 pm, ibvalent...@hotmail.com wrote:
> I am looking at John Walkenbach's Excel 2007 Formulas. On page 302, he
> has the result of a formula that I think is an error. I am not
> confident enough to be sure. In fact, my answer doesn't look right.
> The formula is based on the following scenario:
>
> Your brother-in-law wants you to invest in his carpet cleaning
> business. If you'll invest $50,000 now, he will pay you $200 per month
> for five years and also pay you $60,000 at the end of the five years.
> Are you making a good investment?
>
> Here are the arguments:
>
> Rate: 0.8%
> Period: 60
> Payment: $200
> FV: $60,000
> Type: 1
>
> Walkenbach's answer: $45,958.83 based on this formula: =PV(0.8%, 60,
> 200, 60000, 1)
>
> My answer: $69,309.80 based on this formula: =PV(0.8%/12, 60, 200,
> 60000, 1)
>
> The difference between the two answers is in the first argument. I
> can't understand why you do not divide the rate by 12 since we are
> dealing with monthly payments.
>
> Thanks


I just found the answer to my own question. What I just discovered is
the Walkenbach already converted the first argument to a monthly rate.
Sorry, if I wasted anybody's time.
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  #3 (permalink)  
Old 07-05-2008, 10:00 AM
Bruno Campanini
 
Posts: n/a
Re: PV, Annuity, Lump Sum

<ibvalentine@hotmail.com> wrote in message
news:120f25cf-d2ac-466a-a95f-b41ede0349ff@m45g2000hsb.googlegroups.com...
>I am looking at John Walkenbach's Excel 2007 Formulas. On page 302, he
> has the result of a formula that I think is an error. I am not
> confident enough to be sure. In fact, my answer doesn't look right.
> The formula is based on the following scenario:
>
> Your brother-in-law wants you to invest in his carpet cleaning
> business. If you'll invest $50,000 now, he will pay you $200 per month
> for five years and also pay you $60,000 at the end of the five years.
> Are you making a good investment?

[...]

Mathematically:

PV = 50 000
Payment = 200
FV = 60 000 (paid together with 60th payment)

Monthly Rate = 0.0067175...
Yearly Rate = 0.0836559...
----------------------------------------
If 60 000 are paid as 61th payment

Monthly Rate = 0.0066185...
Yearly Rate = 0.0827778...

Not far away from Excel approximation.

Bruno

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