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Re: Financial Problems
*To*: mathgroup at smc.vnet.net
*Subject*: [mg5064] Re: [mg5059] Financial Problems
*From*: "Paul R. Wellin" <wellin>
*Date*: Fri, 25 Oct 1996 22:48:06 -0400
*Sender*: owner-wri-mathgroup at wolfram.com
> I have the student version of mathematica and the book"Mathematica by
> Example" which shows compoud interest etc. But I don't think any of the
> packages has functions for future of present value. Does anyone know
> anything about this?
The formula to compute the future value of an investment say,
consisting of n equal payments of D dollars, paying an interest
rate r per payment interval, is given by:
In[1]:= FutureValue[D_, n_, r_]:= D((1 + r)^n - 1)/r
So for example, the value of an annuity after 20 years
(or 20*12 = 240 months), in which you invest $100 per
month (the investment interval) in an account that pays
10% per year (or 10%/12 = .8333% per month), you get:
In[2]:= FutureValue[100, 20*12 , .10/12]
Out[2]= 75936.9
If your compounding and payments were at some other interval (quarterly
say), you would have to adjust accordingly. Or you could do a bit of
math to include that into your formula also.
To find the present value of an investment say, consisting of n equal
payments of D dollars, paying an interest rate of r per payment interval,
you would use:
In[3]:= PresentValue[D_, n_, r_]:= D(1 - (1 + r)^-n)/r
For example, to figure the monthly payment on a 4-year loan of $12,000
paying 12.9% interest rate compounded monthly, you would compute:
In[4]:= Solve[PresentValue[x, 4*12, .129/12] == 12000, x]
Out[4]= {{x -> 321.335}}
Hope this helps.
---
Paul Wellin
Academic and Business Liaison
Wolfram Research, Inc.
100 Trade Center Drive
Champaign, IL 61820
phone: 217-398-0700
fax: 217-398-0747
email: wellin at wolfram.com
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