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Politics : Welcome to Slider's Dugout
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To: Bruce Robbins who wrote (15315)2/12/2009 11:05:26 AM
From: colburg7 Recommendations  Read Replies (1) of 50484
 
I couldn't resist. I took 5 minutes out of my work to figure
this out. I wrote a quick program in MatLAB to get these
results using a continuously compounding interest formula.

clear; close all; clc;
L=3000000000000

spy=365.25*24*3600 %Seconds in a year(the .25 is for leap year)
(L/3)/spy %This confirms your calculation of how long
%it would take to pay off 1 trillion at a rate of
%$1/second
%You were correct when including leap year.
%31,688 years is the answer


% This loop calculates the interest the exact same way that monthly
% mortgage payments are calculated for interest rates of 1% up to 10%
% in increments of 1%. I then converted it into dollars per second
% and figured the total amount spent.
for x=1:10
annualinterestrate=x/100
in=(annualinterestrate)/12;
P=L*in/(1-exp(-n*log(1+in)))
dollarspersecond=P*12/spy
Total=P*12*100
end

Drum roll please:

interest rate dollars per second Total spent(100 yrs)
1% $1,504 $4.7 trillion
2% $2,199 $6.9 trillion
3% $3,002 $9.5 trillion
4% $3,874 $12.2 trillion
5% $4,786 $15.1 trillion
6% $5,718 $18 trillion
7% $6,661 $21 trillion
8% $7,608 $24 trillion
9% $8,557 $27 trillion
10% $9,507 $30 trillion
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