| > but when I did the math to see how much more it would have been I have a suggestion for all the many similar problems around probability: Reframe it to be more correct. Instead of looking against the arrow of time, backwards with full knowledge ask yourself the corresponding question looking forward, from where you are right now. And then remember that that was the position you were in back then. Questions that deal directly or indirectly with probabilities become confusing, and frankly stupid, when you violate the arrow of time and make "backward predictions". One should just not ask that question, not even for fun. They not only make no sense, our psyche suffers when we try, even if just a little. This is part of another kind of problems: Asking why a given answer is wrong, for example in multiple choice questions. One of the best courses I took was an audio cassette pilot license theory course. One thing the speaker said about the multiple choice part of the exam was this. DO NOT (with a lot of emphasis and repetition in the audio) try to dwell on why a point is wrong. Concentrate on the true statements alone. Reason was similar to why raising the question why person XYS is NOT a pedophile still creates the association in the brains of people exposed to statements like that repeatedly. Apart from that, the number of potential wrong statements exceeds the valid ones by many orders of magnitude. Similarly, just do not think about problems that deal with probabilities and predictions looking backward. It's just not a valid way to think about them. If you must, reformulate to make them forward-looking. The problem of words and thoughts is the universe checks their validity only very rarely directly and immediately. If we don't restrain ourselves, our thoughts end up not representing reality more and more. Thinking requires quite a bit of self-discipline, we have to place the missing rails ourselves. |
The focus should be that the normal math formula for bond valuation doesn't account for yearly real or projected inflation.
Almost everyone I have met doesn't know how to modify the standard formula correctly unless they've already done it at some point in the past. Its not a trivial exercise.
You have to understand the formulas well enough to modify them to account for the loss in purchasing power that compounds yearly, as a difference between the interest rate and real inflation over the bond terms.
Most years, inflation has been well above that 2% margin dramatically impacting the rate of return or real yield.