The Bank That Bought the Safest Thing - bond prices, yield and duration

The board’s jargon line says a bond’s yield is “what a bond pays, as a rate on today’s price”. This lesson shows why that rate and the price move in opposite directions, and how a bank that bought the safest promises in the valley was sunk by it.
Before you start. From Why a Coin Today Beats a Coin Next Year - present value and discounting you need discounting: money promised later is worth less today, and the higher the going interest rate, the less it is worth. From Owning a Slice of the Ship - shares, bonds, and who gets paid first you need that a bond is a loan with a schedule: a fixed payment every year, then the original sum back at the end. From What the Valley Pays You to Carry the Drought - risk premium, beta, CAPM and the Sharpe ratio, the safe well: lending to a government is about as close to risk-free as lending gets.