Algebra in the Real World




When are we ever going to use this?!

How many times did you say that in school?  I happen to be about 500x more stubborn than the average person.  As a result, I said it nearly every day.  Diagramming sentences?  The date that Sam Houston pulled the sheets over Santa Anna?  Algebra?  To all of these, I really, truly wondered when on God’s green earth I would use them.

Today, I used Algebra!

I am building a website that is based on an investment portfolio.  The equation wasn’t really that difficult, but I had write it down to sort it out.

Let’s say I have 6 securities with various share volumes that comprise a my portfolio.  Let’s say you have $362,500 and you want to mimic my portfolio.  How do you figure out how much of each share to buy?  Let’s start with what we know:

Security Volume Price
AAPL 1500 $250.00
MELI 1000 $50.00
CERN 2500 $90.00
T 5000 $25.00
GOOG 500 $475.00
CTRP 750 $38.00

So, I first figured out the total amount of the portfolio that I started with:

Volume * Price for each security = $1,041,000

The portfolio that wants to mimic this portfolio has $362,500.  So, next we figure out what percentage our mimicked portfolio is of the original one:

($362,000 / $1,041,000) * 100 = 34%

That left me thinking I just needed to multiply the share volumes by 34% in order to mimic the starting portfolio:

Security Volume Price
AAPL (1500*.34) = 510 $250.00
MELI (1000*.34) = 340 $50.00
CERN (2500*.34) = 850 $90.00
T (5000*.34) = 1700 $25.00
GOOG (500*.34) = 170 $475.00
CTRP (750*.34) = 255 $38.00

For all you math wizards and adults, I am aware this is not rocket science.  However, it does show that there’s a need for basic algebra skills outside of the classroom.  p – 1 = 5p +3p – 8 doesn’t really look like much in a classroom.  I’m a firm believer that more US schools should teach using real world examples.  Make it fun.

This might be the lamest post I’ve ever written, but I actually got excited when I realized I had used some form of algebra to solve the equation.


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