How do bond yields affect bond prices?

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Bond markets matter because they set the cost of borrowing for governments, companies and households, shaping everyday outcomes from mortgage payments to school construction. When yields move, the value of outstanding bonds shifts, altering wealth for savers and funding costs for public services. This dynamic influences investment decisions, regional budgets and long-term projects such as infrastructure or renewable energy, making the price-yield link relevant to both global investors and local communities.

Price-yield relationship

The core mechanism is the present value formula: a bond’s fixed future cash flows are discounted by the market yield, so higher yields reduce the present value and lower yields raise it. Frederic S. Mishkin Columbia University explains this inverse relationship as a fundamental consequence of discounting cash flows at the prevailing market rate. Sensitivity to yield changes depends on a bond’s duration, which measures how long, on average, cash flows take to arrive, and convexity, which captures the non-linear response to large yield moves. Longer-duration instruments fall more in price when yields rise, while short-term papers are relatively stable.

Broader consequences

Shifts in yields translate into concrete consequences. Rising yields increase borrowing costs for governments, which can constrain local budgets and affect services financed by municipal bonds; they push up mortgage rates, influencing home affordability and household budgets; and they raise corporate borrowing costs, which can slow investment and hiring. Claudio Borio Bank for International Settlements highlights that abrupt global yield shifts can prompt capital flows that strain emerging market sovereign bond prices, with knock-on effects on exchange rates and domestic financing conditions. Environmental and social projects funded by bond markets, including green bonds for clean energy, can be delayed or repriced when yields move sharply.

This inverse link between yields and prices is what makes bond markets both stabilizing and a potential source of vulnerability. Understanding the mechanics helps citizens and policymakers see why central bank policy, investor sentiment and international capital flows matter for local schools, housing markets and regional development, and why monitoring duration and exposure is crucial for managing financial and social impact.