Implied Repo Rate
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Implied repo rate (IRR) is the
rate of return In finance, return is a profit on an investment. It comprises any change in value of the investment, and/or cash flows (or securities, or other investments) which the investor receives from that investment, such as interest payments, coupons, ca ...
of borrowing money to buy an asset in the
spot market The spot market or cash market is a public financial market in which financial instruments or commodities are traded for immediate delivery. It contrasts with a futures market, in which delivery is due at a later date. In a spot market, settle ...
and delivering it in the
futures market A futures exchange or futures market is a central financial exchange where people can trade standardized futures contracts defined by the exchange. Futures contracts are derivatives contracts to buy or sell specific quantities of a commodity or fi ...
where the notional is used to repay the loan.


Simplified closed form

IRR = \left( \frac \text \text -1 \right)\left( \frac \text \text \right) where dayBase is 365 or 360


Usage


Determine the cheapest to deliver asset

To determine the cheapest bond in a basket of deliverable bonds against a futures contract, implied repo rate is computed for each bond; the bond with the highest repo rate is the cheapest. It is the cheapest because it has the lowest initial value to yield a higher return provided it is delivered with the stated futures price. The net basis between a futures price and its underlying bonds may provide an indication of which bond is the cheapest. However, since the method, unlike the IRR method, neglects the actual running cost of bonds, it is less accurate as a measure for CTD ranking.


See also

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Official bank rate In the United Kingdom, the official bank rate is the rate that the Bank of England charges banks and financial institutions for loans with a maturity of 1 day. It is the British Government's key interest rate for enacting monetary policy. It is ...
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Repo rate A repurchase agreement, also known as a repo, RP, or sale and repurchase agreement, is a form of short-term borrowing, mainly in government securities. The dealer sells the underlying security to investors and, by agreement between the two pa ...
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Repurchase agreement A repurchase agreement, also known as a repo, RP, or sale and repurchase agreement, is a form of short-term borrowing, mainly in government securities. The dealer sells the underlying security to investors and, by agreement between the two par ...


References


Futures Bond Basis
Financial markets Mathematical finance {{finance-stub