Showing posts with label Computational Finance and Financial Econometrics. Show all posts
Showing posts with label Computational Finance and Financial Econometrics. Show all posts

Saturday, July 13, 2013

Simple and Continuously Compounded Returns

Time Value of Money

  • Future Value
  • Present Value
  • Compound Annual Return
  • Investment Horizon
  • Continuous Compounding

Effective Annual Rate

  • Effective Annual Rate
  • Effective Continuous Compounding Annual Rate

Asset Return Calculations

  • Simple Returns
  • Multi-period Returns
  • Simple k-month Return

Portfolio returns

  • A portfolio of investment assets
  • Define a portfolio by how much wealth (weight) is invested in each asset
  • Rate of return on a portfolio
    • A weighted average of the simple returns of individual assets
    • Sum of weights add up to 1

Adjusting for Dividends

  • Total Return = Capital Gain Return + Dividend yield (gross)

Adjusting for Inflation

  • Deflate the nominal price by an index of the general price level 
  • Compute returns in the usual way using the deflated prices
  • Real Rate of Return =

Tips

Develop an intuition of the reasonable orders of magnitudes of  rates of return on different investments.
e.g. what is reasonable for a 1-month investment for Microsoft?
What is a typical rate of return in a year
What is a typical rate of return in a month