The unbelievable power of numbers.

Source: *The 17 Equations That Changed The World – Business Insider*

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# Category: Stock Market Math

## The 17 Equations That Changed The World – Business Insider

## 12 Most Important Finance Forumulas and Principles

# 12 Most Important Finance Forumulas and Principles

# 12. Plus the Pareto Principle

## One of many ridiculous Amazon stats: More than $200K in sales booked EVERY MINUTE

## Check the cost of producing a barrel of oil, by country

## The Rule of 72

## The Rule of 72

## 6.9 billion and counting…

## 6.9 billion and counting…

Disciplined Investing! The Reward is in the Reasearch!

The unbelievable power of numbers.

Source: *The 17 Equations That Changed The World – Business Insider*

**What it is: **Amortization means making periodic payments over time to pay off debt.

**How to use it: **This equation calculates how much a monthly payment will be on a debt. Rearrange the equation algebraically to show what portion of each monthly payment will go towards interest and toward the principle.

**Best for:** Calculating the cost of long-term debt like mortgages, car loans, student loans, etc.

**What it is:** Simple interest is interest earned from principal.

**How to use it: **This calculation can be done quickly to provide an idea of how much interest will accrue over time. Just remember: This equation ignores the effects of compounding. You’ll get an error when you’re working with a larger principle and longer stretches of time.

**Best for: **A rough estimate on what you’ll earn in a savings account, or pay on a loan or a credit card.

**What it is:** Cash flow shows how much you earn in relation to how much you spend.

**How to use it:** See whether or not you’re living within your means. If the number is negative, you’re spending too much; if it’s positive, put the leftover money in savings.

**Best for:** Figuring out where to tighten your budget.

**What it is:** The present value of an annuity equates a series of payments in the future to a lump sum today by using the time value of money (inflation)—a dollar today is worth more than a dollar tomorrow.

**How to use it:** Receiving $100 today is more valuable than having $10 handed to you every year for the next 10 years, because you could invest the $100 today then earn interest on it over the decade.

**Best for:** Deciding whether to take a pension or lottery prize as an annuity or a lump sum.

**What it is:** As the economy moves up and down, so do investors’ returns. To determine your yearly growth rate over several years on an investment, use the compound annual growth rate, CAGR.

**How to use it:** Think of CAGR as the rate an investment would grow if the rate were constant. Investopedia has a good numerical example of this concept.

**Best****for:** Determine the average rate of growth on a stock, bond, portfolio, real estate, or any type of investment over multiple years.

**What it is:** The leverage ratio compares debt to income. Total debts and liabilities are debts like student loans, mortgages, auto loans, and even the $5 you owe a friend.

**How to use it:** Aim for the lowest leverage ratio you can. Anything less than one is excellent, since you could pay off every debt with your income in one period.

**Best for:** Measuring your liquidity and determining whether you can afford to take out a loan.

**What it is:** The rule of 72 is a quick approximation of how long it will take to double an investment.

**How to use it:** Take the rate of return on the investment and divide 72 by it to determine how many years it will take to double your money.

**Best for:** Choose multiple stocks, bonds, or savings accounts.

**What it is:** The expected return of our portfolio shows what overall rate of return we’re likely to get on all our investments.

**How to use it:** Everyone wants great returns, but their tolerance for risk is different. This equation can help determine the perfect mix of risky and safe investments.

**Best for:** See if your portfolio has the right combination of stocks, bonds, CD’s, etc.

**What it is:** The ultimate equation for figuring out how long you’ll be paying off your credit card.

**How to use it:** Though it’s the most complex equation on this list, it’s still easy to do with a calculator. Use it to see whether or not you should pay more on your bill each month.

The **Pareto principle** (also known as the **80/20 rule**, the **law of the vital few,** or the **principle of factor sparsity**)^{[1]} states that, for many events, roughly 80% of the effects come from 20% of the causes.^{[2]} Management consultant Joseph M. Juran suggested the principle and named it after Italian economist Vilfredo Pareto, who noted the 80/20 connection while at the University of Lausanne in 1896, as published in his first paper, “*Cours d’économie politique*“. Essentially, Pareto showed that approximately 80% of the land in Italy was owned by 20% of the population; Pareto developed the principle by observing that about 20% of the peapods in his garden contained 80% of the peas.^{[3]}

It is a common rule of thumb in business; e.g., “80% of your sales come from 20% of your clients.” Mathematically, the 80–20 rule is roughly followed by a power law distribution (also known as a Pareto distribution) for a particular set of parameters, and many natural phenomena have been shown empirically to exhibit such a distribution.^{[4]}

The Pareto principle is only tangentially related to Pareto efficiency. Pareto developed both concepts in the context of the distribution of income and wealth among the population.

One of many ridiculous Amazon stats: More than $200K in sales booked EVERY MINUTE https://t.co/wts05fAm1F pic.twitter.com/qIF5vPVMAz

— Shawn Langlois (@slangwise) May 8, 2016

Check the cost of producing a barrel of oil, by country https://t.co/6cV8Xa87bs via @WSJGraphics

— Wall Street Journal (@WSJ) April 23, 2016

What does the Rule of 72 mean? It is rule stating how long it will take to double your money at any given interest rate. You divide the compound return by 72. This will give you an approximation of the number of years for your investment to double.

**Example:**

**7% interest rate formula: 72/7=10.28 (it will take 10.28 years for your investment to double with a 7% interest rate)**

Note: We would be fortunate today as consumers receiving this kind of return on GICS or Dividend Stocks.

**12% interest rate formula: 72/12=6 (it will take 6 years for your investment to double with a 12% interest rate**)

**24% interest rate formula: 72/24=3 (it will take 3 years for your investment to double with a 24% interest rate)**

Note: The credit card companies make this kind of return easily when consumers have outstanding balances on their credit cards and only pay the minimum. As you can see your debt will double in less than 3 years with a 24% credit card interest rate. The higher the rate the quicker the doubling of debt.

Sam Latella

The past week I read an interesting article about population growth, and thought to myself how this could be applied to investment strategies on a long-term marco basis. Here are some of the facts first about our world population and it’s growth in the last 200 years.

In 1804 world population – One billion

In 1927 world population – Two billion (It took 123 years to double)

Remember the Rule of 72 (0.58% growth rate every year from 1805)

In 2011 world population – Seven billion (It took 84 years to double)

Once again remember the Rule of 72 (0.85% growth rate every year from 1927)

Now let’s take the simple notion that human ingenuity, and technology in all fields that are known to man, medicine, biology, food sciences etc. can postpone the human lifespan by another 10-20 years on average, so the average age would be well into the late 90s or 100. Where would our world population be then? And when would it double?

So, lets take a simple population growth rate of 1%, by, 72/1=72, therefore by the year 2083 our world population would be close to 14 billion people. Why, am I explaining this on an investment web-site? Well, lets take a moment for thought, when investing in the long-term you will need to research and discover which areas of business will have the biggest impact on a world population. Could it be food science? Medicine? Computers? Smartphones? The list goes on. Basically, the growth rates in business will always be there, its about businesses finding the right niches, and exploiting the possibilities, and managing their resources properly. Remember, every individual on the planet wants to better their standard of living, and everyone strives to do this daily.

Here are a few other fact finds:

**Canada**

1950 population 13,737, 000 (population per sq. km – 1)

2000 population 30,667,000 (population per sq. km – 3)

2050 population 43,642,000 (projection) (population per sq. km – 4)

**USA**

1950 population – 157,813,000 (population per sq. km – 16)

2000 population – 282,496,000 (population per sq. km – 29)

2050 population – 403,101,000 (projection) (population per sq. km – 42)

**Africa**

1950 population – 229,895,000 (population per sq. km – 8 )

2000 population – 811,101,000 (population per sq. km – 27)

2050 population – 2,191,599,000 (projection) (population per sq. km – 72)

**China**

1950 population – 550,771,000 (population per sq. km – 57)

2000 population – 1,269,117,000 (population per sq. km – 132)

2050 population – 1,295,604,000 (projection – population control is occurring) (population per sq. km – 135)

Finally,

Over 1 billion adults are illiterate, and 6% of those are women.

27 million people are refugees, and 80% of those are women and children.

1.2 billion people are living in poverity, and 70% of those are women and children.

1 billion people go hungry everyday.

2 billion survive on less than $1 per day.

1 billion don’t have access to clean water.

More then 1000 women die in pregnancy or during childbirth.

Interesting facts when applied to an investment strategy for the long-term.

Sam Latella