3.5 Interest-Rate Analysis and Financial Futures Hedges
Key Takeaways
- Debt prices and yields move inversely, so rising rates generally cause Treasury futures prices to fall and falling rates cause them to rise.
- A borrower or fixed-income holder exposed to rising rates commonly sells interest-rate futures; an investor who will buy fixed-income assets and fears falling yields commonly buys futures.
- Short-term rate futures quoted as 100 minus an interest rate rise when the expected rate falls and decline when it rises.
- Yield-curve shape, monetary policy, fiscal borrowing, inflation expectations, and credit or delivery-basket differences can create basis risk.
3.5 Interest-Rate Analysis and Financial Futures Hedges
Interest-rate futures translate changes in borrowing costs and fixed-income values into standardized contracts. The central relationship is inverse: when market yields rise, existing fixed-rate debt becomes less attractive and its price falls; when yields fall, its price rises. Treasury futures generally follow that price relationship. Short-term rate futures often express it through a price index such as 100 minus a reference rate.
Yield, Price, and the Yield Curve
A bond promises fixed cash flows. If newly issued debt offers a higher yield, an older bond's price must decline to compete. If new yields fall, an older higher-coupon bond becomes more valuable. This gives the exam direction rule:
- Rates up -> debt and Treasury futures prices down.
- Rates down -> debt and Treasury futures prices up.
The yield curve plots yields by maturity for comparable credit quality. A normal or positive curve slopes upward, an inverted curve places short yields above long yields, and a flat curve shows little maturity difference. Curves can steepen or flatten because maturities do not move equally. A hedge in one maturity against exposure in another is therefore a cross-hedge and retains curve risk.
Monetary policy affects short-term funding conditions through administered rates, reserves, and open-market operations. Tighter policy generally places upward pressure on short rates; easier policy generally places downward pressure. Fiscal deficits can increase Treasury borrowing and affect supply across maturities. Tax policy can also change saving, investment, financing demand, and the relative appeal of taxable and tax-advantaged instruments. Inflation expectations normally pressure nominal yields upward because lenders demand compensation for reduced purchasing power. Economic weakness, safe-haven demand, or expectations of easier policy can pull yields lower. These are analytical tendencies, not guarantees.
Treasury Futures
U.S. Treasury futures are price contracts. Their deliverable baskets, conversion factors, accrued interest, and cheapest-to-deliver security can cause the futures price to behave differently from one particular cash bond. That difference is a source of basis risk. For Series 3 direction questions, first identify the cash exposure.
Common Hedge Directions
- A bank holding fixed-rate loans or a fund holding bonds loses when rates rise and values fall. It can sell Treasury futures. A falling futures price produces a gain on the short hedge.
- A pension fund that expects cash next month and plans to buy bonds fears rates will fall before the purchase, making the bonds more expensive. It can buy Treasury futures.
- A dealer planning to underwrite fixed-rate debt fears rates will rise before the securities are sold. The resulting price decline can be hedged by selling Treasury futures.
Contract count begins with exposure value divided by futures contract value, then may be adjusted for relative price sensitivity. A duration-based hedge uses:
where $V_P$ and $D_P$ are the cash portfolio value and duration, and $V_F$ and $D_F$ are the value and duration exposure of one futures contract. The sign comes from the risk: use a short hedge for a long fixed-income portfolio exposed to rising rates.
Example: A $10 million bond portfolio has duration 6.0. One futures contract represents $100,000 of deliverable exposure with effective duration 7.5.
The portfolio manager would sell about 80 contracts to hedge the modeled rate sensitivity. Rounding, changing duration, and cheapest-to-deliver behavior prevent a perfect outcome.
Short-Term Rate Futures
A common short-term rate quotation uses:
If the quoted rate rises from 4.25% to 4.50%, the futures price falls from 95.75 to 95.50. A borrower who fears a higher future borrowing rate can sell the contract; a lender or investor who fears reinvestment at a lower rate can buy it.
For a three-month contract with a $1 million reference amount, one basis point has an approximate value of:
A 25-basis-point decline in futures price therefore represents $625 per contract. A short position gains that amount; a long loses it. Contract specifications control the exact tick and settlement method, so use the values supplied in the question.
Hedging a Future Borrowing
Suppose a company will borrow $5 million for three months in June and fears rates will rise. It sells five $1 million short-term rate futures. If the quoted futures price falls 20 basis points, the short gain is:
The gain offsets part of the higher interest cost. The hedge can miss because the loan's reset date, credit spread, day-count convention, or reference rate differs from the futures contract. This is basis risk. The correct exam conclusion is not that futures set the loan rate; they create an offsetting gain or loss designed to stabilize the effective borrowing cost.
A complete answer states the cash risk, futures direction, expected futures result, and remaining basis risk.
A bond portfolio manager fears a sharp increase in interest rates. Which Treasury futures hedge is most appropriate?
A short-term rate future is quoted at 95.75 using 100 minus the rate. If the expected rate rises by 25 basis points, what is the new quoted price?
A three-month $1 million rate futures contract is worth approximately $25 per basis point. A company is short 8 contracts and the futures price falls 12 basis points. What is the futures result?