Exercise 1: Why an Early-2022 Bond Became Less Attractive by December — Possible Solution ==================================================================== An existing bond issued in early 2022, before the Federal Reserve's own rate hikes began, would have been issued with a coupon set to be competitive under the near-zero interest rate environment of that time - this chapter's own real figure gives the federal funds rate as just 0.00-0.25% at that point. WHY THE SAME BOND LOOKED LESS ATTRACTIVE BY DECEMBER By December 2022, the real federal funds rate had risen to 4.25-4.50%, a genuine 4.25 percentage-point increase within the same year. Newly issued bonds by that point would be offering coupons set to be competitive under this much higher-rate environment - meaningfully higher fixed coupon payments than the early-2022 bond was still paying. A buyer choosing between the two would naturally prefer the newer bond offering a higher coupon for the same face value, making the older, lower-coupon bond genuinely less attractive by comparison, exactly as this chapter describes. WHAT WOULD NEED TO HAPPEN TO THE OLDER BOND'S PRICE This chapter's own real inverse price/yield relationship explains the mechanism directly: since the older bond's coupon itself is fixed and cannot change, the only way to make its yield competitive with the new, higher-coupon bonds is for its market price to fall. A lower purchase price means the same fixed coupon payment now represents a larger percentage return relative to what the buyer actually paid - raising the bond's own effective yield back up to a level that's competitive with the current, higher-rate environment, without ever changing the coupon itself. WHY THIS MATTERS This is precisely the real mechanism that produced falling bond prices across the market in 2022 - not because bonds themselves became inherently worse investments, but because existing, lower-coupon bonds needed their market prices to fall in order to remain competitively priced against newly issued, higher-coupon alternatives. ANSWER: An early-2022 bond became less attractive by December because its coupon was fixed under the near-zero rate environment of early 2022 (0.00-0.25%), while newly issued bonds by December were offering much higher coupons, reflecting the real rate that had risen to 4.25-4.50% by then. Since the older bond's own fixed coupon couldn't change to compete, its market price needed to fall instead - a lower purchase price raises the bond's effective yield on that same fixed coupon payment, bringing it back in line with what newly issued, higher-coupon bonds were offering. WHY THIS WORKS AS AN ANSWER ------------------------------ This correctly applies the chapter's own real 2022 figures to explain why an existing bond's fixed coupon became uncompetitive, and describes the precise mechanism (falling price raising effective yield) that restores competitiveness without altering the bond's own fixed coupon.