# Everything Else: Math, Macro, Computing

## Basic Financial Math 1

Present and future values, compounding, continuous compounding, and the rule of 72.

## Basic Financial Math 2

Annuity and Perpetuity: Derivation of present and future value formulas (PVIFA, FVIFA, and Present Value of a Perpetuity)

## Basic Financial Math 3

Bond Valuation, and Calculating Mortgage Payments

**Macroeconomics?(Eww, yuck)**

I wrote a program to make an animated, point by point time graph of inflation and unemployment from 1948 to 2013, using the R stats program. *File*

Here I go through a silly, but informative example of how a primitive economy's banking system might evolve, so you can see how banks create money when they make loans, and learn some other interesting things about fiat money, commodity money, etc. Inspired by Bert Bowden. *File*

Video 1 of the Aggregate demand/supply model, and fiscal/monetary policy. *File*

Video 2 of the Aggregate demand/supply model, and fiscal/monetary policy.

Here I introduce the Taylor rule, a rule of thumb for determining the target Fed Funds rate.

Should I refinance my mortgage?

I show you the wrong way and the right way to calculate the benefits of refinancing your mortgage.

**Random Mathematical Musings:**

An introductory look at Jensen's Inequality for a non-technical audience.

In honor of my Nephew, Jensen!

How to use logs to solve something like 5^{x}=30.

x as an exponent: more interesting situations

In response to a mailbag question, I show how to solve problems like 1/(k^x)=c, and k^(x^2 +x)=c using natural logarithms.

Approximate solutions with Newton's method!

Here I show how to use the Newton (Newton-Raphson) method for approximating answers to functions. I emphasize a graphical interpretation (intuition) of WHY it works,using the familiar X squared function (X^2=10). In a future video we will approximate answers to solve x to the x power = 10 the same way. *File*

How to Use Newton's Method Part 2: X^x with spreadsheet and graph

Here is a second part about how to use Newton's method, showing you how to easily get a spreadsheet program to do the work for you to get extremely accurate approximations to solve a function. Spreadsheet and handout available under Files, called "Newton1.pdf" and "Newton1.xlsx"

Derivative K^{x}

I give the derivation and the rule for taking the derivative of say, 10^{x}

Limits of Integration for Joint PDF

How do you determine the limits of integration for a case where the domain is defined by x+y=1, and the PDF if k*x*y. How can we do this double integral to figure out k?

**Bloggy Things:**

What is the Human Development Index?

Here I discuss the concept of "Indexes" in general, and use a regression to figure out the formula used to calculate the United Nations' Human Development Index.

A wonderful "data educator" has dies in January, 2017. If you aren't familiar with his work, check it out!

The Gold Standard, and why it doesn't make sense for the US

After hearing Ron Paul and Gingrich sell the Gold Standard, here is a primer (in 23 minutes): I give some good data on past hyperinflation from Germany, Yugoslavia, and Zimbabwe.