Fidelity Investments publishes a magazine a few times a year. In 2008 the President of Fidelity Investments was Steven P. Akin. Here is what he said on his President's Note page of the magazine:

Doing a quick calculation, I found that a sum of $10,000 in 1993 had the same buying power as $14,867 does in 2008. In other words, $10,000 has lost almost half its real value in the past 15 years.

What is the correct loss in the value of the original $10,000? Show your mathematical work.