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How OIS Rates Relate to Overnight Lending and Central Bank Rates

Article Quant Q&A · Author: Shyam

Summary

The document distinguishes the overnight indexed swap from the overnight cash rate it references. An OIS is a derivative with a tenor whose value reflects expectations for the compounded overnight rate over that period. Banks may lend or borrow overnight in the relevant market, while OIS traders take positions on the rate without lending or borrowing the underlying cash.

The relationship between OIS and a central bank’s deposit rate depends on the currency and the way its overnight benchmark is compiled. The discussion also notes that central banks generally remunerate reserve deposits and offer lending facilities mainly as a costly last resort. It does not provide a method for measuring market liquidity or establish that a particular spread is a reliable liquidity indicator; benchmark construction and institutional arrangements vary by currency.

Key ideas

  • An OIS is a derivative referencing an overnight interest rate over a specified tenor.
  • OIS traders speculate on the compounded overnight rate without exchanging overnight loans themselves.
  • Banks’ reserve deposits and central bank lending facilities are distinct from ordinary interbank overnight borrowing.
  • The relationship between OIS and central bank rates varies across currencies and benchmark methodologies.

Tags

Full text
# OIS, Fed Funds Rate and Working


# OIS, Fed Funds Rate and Working












I'm a bit confused about OIS. Is OIS the overnight interest rate or is it a swap. If OIS is the rate at which banks lend overnight, where does the swap come in? Don't they borrow at a fixed rate?

When banks borrow from the Fed, do they borrow at the Fed funds rate or LIBOR? If it is the Fed Funds rate, again this is fixed right?

Instead of looking at LIBOR OIS, can't i look at LIBOR-Fed Funds rate or USDIRS vs OIS to determine liquidity situation in the market

## Answer by Attack68 (score 3)

https://quant.stackexchange.com/a/44698

Banks do not borrow money from the central bank. Generally they deposit excess reserves with the central bank and are remunerated on a daily basis at the deposit rate (ECB depo rate, BOE base rate, FED funds rate).

Central banks do have standing facilities to loan money to banks but these are generally expensive and meant as a last resort. They can also give bad impressions on the credit worthiness of the institution if it consistently needs to utilise these measures.

OIS is the overnight indexed swap rate. It is compiled differently in different currencies. In GBP it represents the weighted average of interbank overnight cash transactions reported through a series of brokers over 25mm (don't quote these exact details). In EUR it is compiled by the ECB by aggregating a series of loan rates provided by a selected group of large banks to other banks.

These systematic differences and other factors determine the precise relationship between OIS and the central bank deposit rate in any given currency (look at DKK for a really wacky relationship)

## Answer by Alex C (score 2)

https://quant.stackexchange.com/a/44699

OIS (Overnight Index Swap) is a swap, that is a derivative, with a specified tenor (such as 37 days). It represents a "bet" as to what the geometric average overnight rate (FF rate in the United States) will be for the next 37 days. The banks are lending/borrowing to/from each other overnight in the FF market, but you and I, as traders of OIS, are not borrowing/lending anything, we are just watching on the sidelines and speculating on what the overnight rate among banks will be.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.