By G. Faust, M. Haase, J. H. Argyris
This quantity is meant as an in depth creation to the idea of chaos and is addressed to physicists and engineers who desire to be accustomed to this new and fascinating technological know-how linked to non-linear deterministic platforms. arithmetic are a pre-requisite instrument.
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Additional info for An Exploration of Chaos: An Introduction for Natural Scientists and Engineers
But let’s suppose you decide to be a good camper and reinvest every interest payment along the way. There’s still a problem—you can’t predict what interest rates will be in the future. You could reinvest at 3 percent, then at 5 percent, and then at 2 percent over the next 10-year span. Who knows? What we can predict with certainty is that you won’t be able to reinvest each of those 20 payments at the same rate of interest. This might not seem like a big problem to you because your interest payments don’t change.
That’s right, $10, or 1 point. Let’s take it a step further—suppose you want to buy 50 bonds quoted at 99/100. What’s the total purchase price? Since each bond costs 100, or $1,000, you multiply that by 50 and get $50,000. Remember, though, to sell those 50 bonds, use the bid instead. Then your proceeds would be $990 × 50 = $49,500. Got it? Good, because it gets a little more complicated. You see—just like the real world—bond prices are seldom neat, with nice round numbers. Think about it—how often does the total cost of any purchase fall exactly on the dollar?
When a bond is trading at a premium, YTM is lower than the coupon. Let’s take an example. If you bought a 10-year bond at par with a 6 percent coupon, you could safely assume that YTM is 6 percent. Now suppose you bought the bond at 97. When your bond is redeemed at par, you’d have to account for a 3-point gain, or $30. 4 percent. Now what if the same bond were purchased at 102? 7 percent. But wait! If you bought a callable bond, wouldn’t YTM provide you with an incomplete assessment of its potential return?