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The Magic of Compounding


Excerpted from Bogle on Mutual Funds by John C. Bogle, pages 4-5

The magic of compound interest is simply a combination of time and rate of return. Let us begin by taking a truly long-term look at the financial markets. Complete data tracing the returns of financial assets are available beginning in 1872. I use primarily the Standard & Poor's 500 Composite Stock Price Index (and a predecessor index prior to 1926) as the measure of common stock returns, the long-term (20-year) U.S. government bond as the measure of bond returns, and the 90-day U.S. Treasury bill as the measure of the returns on cash reserves.


YAHOO! FINANCE TIP
Yahoo! Finance reports historical prices for the S&P 500 Index, the 30-Year Treasury Bond Index and the 13-Week Treasury Bill Index.
During the 1872-1992 period, the annual return on U.S. common stocks averaged +8.8%, the annual return on long-term bonds averaged +4.6%, and the annual return on cash reserves averaged +4.2%. The differences in returns - which may appear small - result in a staggering dispersion in the final value of $1 invested in each asset class on December 31, 1871. The summary figures are in Table 1-1. A mere 0.4 percentage point increase in return, from +4.2% in bills to +4.6% in bonds, increases the final value of the $1 initial investment by more than 70%. A further 4.2 percentage point increase, to 8.8% in stocks, causes the final value increase an additional 115 times. This is the magic of compounding writ large. Figure 1-1 presents the cumulative returns since December 31, 1981, for each of the three basic asset classes.

table1-1.jpg


figure1-1.jpg



Excerpted from:
bogle_book.jpg Bogle on Mutual Funds: New Perspectives for the Intelligent Investor,
by John C. Bogle, published by Dell Publishing (© 1994)
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