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OIS is the 1-day non-collateralized interbank interest rate.

Such a rate is not risk-free. The market trades a very useful curve that is much closer to "risk-free": the government bond curve.

So the question is, why has the industry preferred to use OIS? For many currencies OIS is a very small market too!

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  • $\begingroup$ not sure, but probably easier to customize expiration dates. Never an issue with a swap going "special" in the repo market. Unlimited supply of swaps - just create them out of thin air. $\endgroup$ – FinanceGuyThatCantCode May 11 '17 at 19:45
  • $\begingroup$ OIS is a swap rate over a benchmark rate like federal funds rate so it is strongly related to 'government' rates. $\endgroup$ – cykor21 May 11 '17 at 21:03
  • $\begingroup$ I think that the fed funds rate is very misleadingly named as in fact it is an interbank rate, exactly like the 1 day libor rate ... (in fact i do not know what the diff is!) $\endgroup$ – Randor May 12 '17 at 16:02
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There are two parts to this question: 1) Is OIS a good risk-free proxy? and 2) Why is OIS used to discount cash flows of derivatives.

First, overnight indexed swaps, in the US, are indexed to the Fed funds effective rate, which in turn tracks the Fed funds target rate. The Fed Fund target rate is directly set by the Federal Reserve, while the Fed Funds effective rate is determined by supply/demand in the Fed funds market. The dynamics of the Fed funds market are completely different from private sector interest rate markets, because the Fed directly influences/manages the supply/demand in this market. In fact, it is the NY Fed's job to ensure that Fed funds effective rate more or less tracks the target rate through open market operations; otherwise, it would be very difficult for the Fed to conduct its monetary policies. Consider what happens when the economy is in distress. The private interbank market may demand increasingly higher credit risk premium and banks may face substantial funding pressures, but the Fed in such a scenario will almost certainly lower the Fed funds target rate. The NY Fed will do its job and make sure Fed funds effective rate go down accordingly. All of these statements are meant to paint this picture – you might as well forget about the individual participants; just think of Fed Funds effective rate as a rate controlled by the Fed. (This is a strong statement today, given the evolution of the Funds market after the financial crisis, but this nuance is better suited for a separate discussion.) As a result, OIS, whose payoffs are determined by Fed funds, does not price in credit risks AT ALL, but simply reflects market's expectation for future Fed funds rate (i.e., Fed's future monetary policy stance) and some term premium for longer tenors. If you go back and look at what happened after the Lehman bankcrupty, the Fed funds market was well functioned and reserve expanded. This is why FRA/OIS spread went to extreme levels at the time – FRA moved a lot because of stress in the private interbank mkt, OIS didn't skyrocket because the Fed was busy cutting rates to 0.

The next topic is OIS for discounting cash flows of derivatives. This is only true for collateralized derivatives where the collaterals earn Fed funds effective rate. If you enter into a swap where the collateral earns a different rate, you shouldn't use OIS discounting! The problem during the financial crisis was that derivative PVs were calculated using LIBOR, which was higher than the returns earned on collaterals (typically Fed funds effective rate). As a result, the PVs used to determine how much collateral was required ended up being too low (because of the higher discount rates). When counterparties began failing, people woke up to realize that there wasn't enough collaterals to cover the losses. OIS discounting closes the gap.

As an additional comment (and as @dm63 has articulated above), Treasuries are heavily influenced by supply/demand factors, while swaps have unlimited supplies. Because of balance sheet pressures after the financial crisis, longer dated Treasuries have routined traded cheap relative to swaps. As a result, OIS actually provides a clearer measure of future interest rate expectations.

Another advantage of using the OIS is that people from different banks more or less agree on how to build it, while different banks build wildly different Treasury curves.

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  • $\begingroup$ It is important to emphasise the distinction between InterBank credit , and Government credit. the fed funds rate is an INTERBANK overnight rate. it does NOT equal the IORR rate (interest on required reserves - the rate the fed pays banks for their reserves deposits at the fed). the IORR rate has the credit of the FED - zero risk - it is the true risk free o/n rate. the fed can move the IORR rate, and that in turn causes the effective fed funds rate to fall $\endgroup$ – Randor May 12 '17 at 11:12
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    $\begingroup$ you might even add that forward OIS rates are forward interbank rates between a panel of counterparties from which any bankrupt one will no longer be part, whereas forward treasury rates are forward rates with always the same counterparty, the Govt. This goes toward explaining why the OIS curve, or the Libor curve, is above the treasury curve up to a few years, and then below the treasury curve (as per your other comment) $\endgroup$ – Antoine Conze May 12 '17 at 14:27
  • $\begingroup$ @Randor Thanks. I was a bit worried that a more complete answer will require going into IOER/RRP/etc. and muddle the message further. But it may have been the mistake. I'll revise this. $\endgroup$ – Helin May 12 '17 at 15:08
  • $\begingroup$ Thanks @AntoineConze. My preference is actually to think of forward Treasury rates as forward GC repo rates. $\endgroup$ – Helin May 12 '17 at 15:10
  • $\begingroup$ Just to add to your excellent points: many people argue now, that all derivatives, colaterized or not, should be discounted with an OIS Curve. The idea is, that this is the real risk-free curve and all credit risk should be handled some CVA. For example see www-2.rotman.utoronto.ca/~hull/downloadablepublications/… $\endgroup$ – Ami44 May 12 '17 at 22:52
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OIS is based on overnight Fed Funds, which as you say is an unsecured overnight rate between banks in the Federal funds market. This is not technically risk-free, although pretty close (what are the chances of Citibank defaulting by tomorrow?). The OIS swap market thus provides an almost-risk-free rate for any desired term. For example, the 5yr OIS swap rate on 5/11/17 is 1.75%. By comparison, the 5yr Treasury yield, an undoubtedly risk-free rate, is 1.90% (15bp higher). Perhaps this is surprising, but the truth is that Treasuries are subject to supply and demand issues. Since the crisis, the Government has been issuing large amounts of Treasuries which has caused their yields to rise versus Fed Funds. Sometimes the opposite can happen - in the 1990s Treasury issuance was limited and yields decreased versus Fed Funds. This supply and demand effect is one reason why Fed Funds has been a popular near-risk-free rate.

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That seemed strange to me as well. A loan of Fed Funds should be as risky as any other inter-bank loan. There might a settlement difference in terms of SWIFT messages, but it shouldn't be significant.

I'll check with our settlements team at work tomorrow and post an update if there's anything to add.

What I was told years ago is that the difference is that you are guaranteed to get your Fed funds loan back in case of a default. That never made sense to me - essentially that would allow you to jump the queue of creditors. But I have heard this answer many times nonetheless.

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  • $\begingroup$ The question is unclear as to what we are discounting. Derivative payments? Cashflows on a Treasury bond? etc $\endgroup$ – dm63 May 12 '17 at 0:43
  • $\begingroup$ I assume he means: Why do people lean to using OIS as being "risk free" in the first place. And why would it be less risky than Treasuries? Thus my answer, which I believe is correct - at least that is what I have been told several times by people who I trust and have traded these products for decades. $\endgroup$ – JoshK May 12 '17 at 1:04
  • $\begingroup$ well, we see today at 6months for usd, ois/treasuries = 111/60 , so ois is 50bp HIGHer and , 5y ois/treas = 173/185 (similar) 10y 202/243 (ois is 40bp LOWER!) so the market cant seem to decide which is riskier... i think also ois trades mostly as a fixed spread vs libor , so i think that if libor increases due to an increased credit risk of libor , then at first, ois would increase, rather than remain in line with treasuries... i know occasionally a t-note will go special in repo market but the markets can see that and know not use that instrument in the riskfree curve $\endgroup$ – Randor May 12 '17 at 11:27

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