Wednesday, June 17, 2009
Relative Measures
For this reason, we usually divide the dollar amount of interest rate risk by the total assets. For the example above, that would be an EAR of .005 for the $10 million credit union and .0005 for the $100 million credit union.
These small numbers are awkward to work with, so we normally talk in terms of 'basis points of assets'. A basis point is one percent of one percent - or .0001. An example will make this more clear. If we are talking about a rate of 5.53%, adding one basis point to 5.53% would make 5.54%.
To change our .005 and .0005 to basis points of assets you multiply by 10,000. For the $10 million credit union that gives an EAR exposure of 50 basis points. That is a very high level of exposure. For the $100 million dollar credit union, the EAR exposure is 5 basis points of assets. That is a low level of exposure.
$100,000 of EAR interest rate risk is very meaningful to you. That means if the rates change adversely by the shock amount, your credit union will suffer a loss of income of $100,000. That is critical information no matter how big your credit union is. However, to get a feel for the relative size of this exposure, we need to divide by the assets and then multiply by 10,000 to get the exposure in terms of basis points of assets. As we just demonstrated, $100k of EAR exposure can be either very high or low - depending on the size of the credit union.
By the way, this is how the regulators want you to report your exposure - at least in Ontario.
Whether the exposure is high medium or low is somewhat subjective. We benchmark exposures in terms of a 1.00% shock. Using a 1.00% rate shock for EAR, we say 5 basis points or less is a low exposure, 6 to 10 is a moderate low exposure, 11 to 15 is a moderate high exposure, and over 15 is a high exposure. For EVR, we say 20 basis points or less is a low exposure, 21 to 35 is a moderate low exposure, 36 to 50 is a moderate high exposure, and over 50 is a high exposure.
One more note. Some practitioners divide by total capital instead of total assets. This makes some sense as capital is available to protect the institution should an adverse event occur - and an adverse interest rate move is a good example. This approach especially makes sense if your capital is relatively low. In that case you want to know what effect the change of rates will have on your capital. As an example, a credit union with lots of EAR exposure (say over 15 basis points of assets) should be much more concerned if their capital low are low than if they have lots of capital.
Interest Rate Risk - From the beginning
There are two types of interest rate risk measurements - Earnings at Risk (EAR) and Economic Value at Risk. In some ways they are polar opposites to each other, and yet they are also good complements of each other. A strength in one measure is a weakness in the other and vice-versa.
Both measures work with an assumed change in interest rates. There are numerous ways to do this, but the most common (and easiest) method is to assume that all interest rates change at once by exactly the same amount. That's called a parallel shock in interest rates.
The next question is how big a change? A one percent change is kind of the standard. Shocks greater than are pretty rare, but two percent is sometimes used as a worse case scenario. Many credit unions use smaller shocks for reporting to their regulators. 25 and 50 basis point parallel rate shocks are pretty common.
Other common rate changes include 'ramps' which mean a constant and steady change of rates over a period of time. 'Tilts' are like ramps, but the shorter rates move at a different pace or direction than the longer rates, resulting in a tilting of the yield curve. Ramps and shocks imply all rates move the same way - this assumption can also be relaxed. In fact, the possibilities are infinite - it's deriving some meaning from the results that frequently means using simple parallel shocks, or perhaps ramps.
Earnings at Risk (EAR)
This is the simpler of the two measures to understand. It measures how many profits the organization will make or lose for a given change in interest rates. The results from an EAR analysis are quite simple to understand. If rates move like this, profits over the next year will rise (or fall) by this many dollars. That kind of statement hits home to many credit union managers.
The measurement process is relatively simple, and closely related to doing a margin budget. Calculate how much you will earn/pay on each asset/liability based on current or forecasted interest rates. The total of earnings less payments is net interest income. (So far, that's analogous to a margin budget.) Now assume those rates change and recalculate net interest income. The difference between the two results is the EAR in dollar terms.
Economic Value at Risk (EVR)
Unfortunately, this form of interest rate risk has many names and even different methods of calculating it. Having stated that, they all ultimately translate into pretty much the same thing. So, to keep it simple, we'll just stay with EVR.
Economic value is somewhat similar to other valuation terms of an organization - market value or stock price, book value, liquidation value, going concern value. Basically you are trying to derive the value of the credit union. Subtracting liabilities from assets is one technique - that's the accounting book value. Economic value goes one step - it is calculated by subtracting the present value of all the liabilities less the present value of all the assets.
An EVR measurement states how much the economic value of the credit union will change for a given change in rates. Taking the present value involves an interest rate - in this case the rate on the specific asset or liability. And like EAR, you calculate a new economic value after changing the rates by a given amount. The difference between the two economic values is your EVR.
Comparison of EAR and EVR
EAR is concerned with risks to the next year's net interest income. EVR is concerned with risks to economic value of the credit union. It's something like owning a stock or bond. EAR is similar to a concern about risks of loss on interest or dividends. EVR is similar to a concern about risks of loss on the market price of the stock or bond.
EAR only considers the next year's income, so items with a maturity beyond 1 year have no effect on EAR. Variable items have the biggest effect on EAR. The shorter the term of a fixed item, the bigger the effect on EAR. The longer the term of a fixed item, the smaller the effect, such that after one year there is no effect on EAR.
EVR considers all items on the balance sheet, but variable items have almost negligible effect. The longer the term of a fixed item, the bigger the effect on EVR. The smaller the term of a fixed item, the smaller the effect on EVR.
So, to properly consider all the terms exposed to interest rate risk, you need to use both measures.
Wednesday, June 3, 2009
Low Rate EAR solutions
The first step is measuring how much income you will lose. Here's how:
- Add up all your variable liabilities - those deposits that have rates that changed as the bank prime rate fell. Chances are that these consist mostly of the premium savings account and perhaps the floating side of a receive the fixed swap.
- Now total all your variable assets. Chances are that these are pretty rare. One example would be the floating side of a pay the fixed swap. (By the way, the floating side of swap is normally considered fixed not floating, but if the swap's reset period is 3 months or less, then it is close enough to floating for our purposes.)
- Take the difference between the total variable liabilities and the total variable assets. That difference is the source of your Low Rate EAR exposure.
- Now calculate how much is at risk. That is how much bank prime has dropped from the level where you froze rates. That would be the difference between your credit union' s prime rate and bank prime rate (currently 2.25%). For instance, if your credit union froze prime at 3.50%, there is 1.25% at risk.
- Calculate the dollar amount at risk per annum. That is the difference calculated in #3 multiplied by the percentage at risk calculated in #4.
That's how much income you will lose as the prime rate rises again to the level where you froze rates. So what to do?
Well, one choice is to do nothing about this Low Rate EAR and just concentrate on lowering your falling rate EAR that is currently masked. Here's the logic - you froze prime to prevent losing income from further drops in prime and that worked very well. Then there was a bonus as prime dropped further and you actually made more income as the rate on your premium savings account fell. That was great - the last blog called it found money. This is the income now at risk and it really means you will be back where you were when you froze prime - so why worry about it? You're just losing income that you weren't expecting to have.
Besides, there is no guarantee that when the prime rate starts to rise that the premium savings account rate will be forced higher. We saw that when prime rates were falling, that the premium savings account rate wasn't always in synch. Prime rate fell 4% whereas these rate only fell 2.00% to 2.50%. Perhaps the savings account rate will not rise when prime rate rises. However, there was a pretty good relationship between premium savings account rates and prime for the last few drops. Also, I think there is a pretty good chance that these rates will rise before prime does - in response to the economy turning and mortgage rates rising. (We saw the majors raised mortgage rates yesterday.)
Yeah, but what about solutions? We need something that will pay more when rates rise, but that will not be a burden when the normal EAR exposure to falling rates returns. That is difficult because many solutions that reduce Low Rate EAR will increase the normal falling rate EAR. Fixing one often makes the other worse.
A natural solution is to use your liquidity investments. Keep them short. When rate rise, their rates will also rise. If you have enough short investments to cover the difference calculated in #3, then you problem is solved. The shorter the term the better the match to your exposure. It would even be a good idea to sell longer investments and buyer shorter ones. Also, when rates rise to the extent that your normal EAR returns, you can reduce that exposure by investing longer. This really is the easiest/best approach to the problem, but chances are it is not enough.
Here's a very common thought process I hear about as an interest rate risk consultant. There is a price to pay when you keep your investments short. Shorter terms have lower yields than longer terms. So there is an immediate income loss if you invest short. Why not invest long and get the higher rate when you are pretty sure that rates will be stable for a while? Here's the problem - there is no telling when rates will start to rise again. When they do your credit union will lose income. A short investment will be able to offset that loss with higher rates on rollover.
If you have a one year term investment though, and rates rise say 1.00%, then you have to wait a year with a very low rate investment before your income will return. And remember that rates will not likely increase by 25 basis point increments - they cam down much faster and they will probably go up very quickly - perhaps as much as 2% in a couple of months. If you feel you can predict when rates will start to rise - go ahead and invest longer for more yield, but this is not recommended. We suggest terms of 3 months or less and again, shorter is better.
Interest rate swaps are another possibility. If you pay the fixed on a swap, the floating side will be like a variable rate that will rise when prime rates ascend again. That will hedge Low Rate EAR exposures. And, fixed pay swaps are a great idea right now because they effectively lock in these low rates for the long term. A five year fixed pay swap is like a five year deposit in that it locks in the rate for five years. But, and its a big BUT, this will also increase you normal EAR exposure to falling rates. (And your falling rate EVR exposure too.) You will also find that the amount you are paying is higher than the amount you are receiving - a loss that starts the moment your swap starts. And there is some pretty ugly accounting for swaps these days. However, this is an effective hedge for Low Rate EAR and a great way to lock in long term rates, so it is a good approach provided that the effects on the normal falling rate EAR and EVR are manageable. Otherwise, a pay fixed swap is not recommended.
Is there a way to get BA (not prime) based loans on your books? These would work, but they also will impact your normal falling rate EAR adversely. Can you convince members to convert their premium savings deposits to longer term deposits (preferably longer than one year) in this environment? Probably a hard sell and again, it will add to your normal falling rate EAR So there really are not many good solutions For Low Rate EAR.
Here's one more approach. As prime rates start to rise, can you also increase the rates on your variable assets? That too is a tough sell to members, as these rates didn't fall when prime fell so how will you explain that to the members affected? Even increasing your prime a portion of the prime rate increase would help. If prime was to increase 1.00%, you could cut this Low Rate EAR in half if you could raise you prime rate by 50 basis points. One way to help sell this would be to promise to get credit union prime back to the levels of bank prime by increasing less than the banks after bank prime reaches the level where you froze rates. Of course that means you would still lose the full amount of annual income calculated in step #5 above, but you have spread the losses to a period where you have higher income.
Finally, you can increase margins the old fashioned way - by increasing spreads on variable loans. This too will offset losses from Low Rate EAR. That is what the banks have done and that is one way they are able to make money with a 2.25% prime rate.
So, the two best methods are to shorten investment terms and to increase loan spreads. Other methods impact member relations or add to the normal EAR that will return when rates rise. They should only be considered with that in mind.
Monday, June 1, 2009
How Low Rate EAR works
Now rates move up another 0.25% to 2.75%. Another $37,500 is lost, but now there is only 0.75% that can be lost, Low Rate EAR falls to 11.3 basis points - a moderate/high level. When bank prime becomes 3.50% again, EAR becomes zero again. At 3.75%, the falling rate exposure returns, but not all of it. After all, credit union prime will get frozen again at 3.50%, so the most that prime can fall is 0.25%. That means only one-quarter of the normal EAR is there, the rest is still masked by low interest rates and the floor on primes. At 4.50% prime, the falling rate exposure is all back - 10 basis points to falling rates. Higher rates have no further effect. Clicking the graphic at the left, shows all the data points.- Low Rate EAR changes dramatically when prime changes.
- Low Rate EAR only applies to credit unions that froze their prime rate at higher levels.
- Low Rate EAR can have a big effect on your profitability.
- Normal EAR is still there, lurking in the background. It will return in full when credit union prime is 1.00% higher than the level where credit union prime rate was frozen. So, you definitely want keep measuring it.
Next time strategies to manage Low Rate EAR. Promise.
Friday, May 15, 2009
Low Rate EAR
Let's be careful with our terms here. What is an exposure to interest rates? If your organization has an exposure to interest rates, that means it will lose something (earnings or economic value) when interest rates change. Of course, interest rate changes could also mean that you gain something (earnings or economic value), but that is not an exposure. Exposures only concern themselves with the downside, favourable results are not a concern - so favourable results are not an exposure.
For the credit unions that froze their prime rates, interest rates rising to higher levels was not an exposure. And rates falling was not an exposure either, after prime was frozen. But their EAR was not zero. They would make more income (or economic value) when rates rose and, somewhat surprisingly, some credit unions would make more income when rates fell - substantially more.
To see why, we have to take a closer look at a very popular demand account - the premium savings account. The simple fact is that the rate on premium savings accounts is too high. In normal market conditions, no deposit rate should be higher than the swap curve, which is the same as the BA curve for terms under one year. Why? Because the swap curve is roughly where the major banks can borrow (or invest) as much money as they desire. Why pay a retail investor more for their $1,000 deposit than the rate where you can borrow millions, even billions of dollars? That should mean the rate for this account should be under 0.50%. And yet the rate persists as a full percent higher. Even the major banks offer premium savings account deposit rates higher than 1.00%.
So why is the rate on premium savings accounts so high? Most likely it is competition - everyone is offering high savings account rates, so not doing so likely means losing market share. But why is anyone paying such high rates? The premium savings account was practically invented by ING. They raised tons of money with this account and used those funds to finance loans - mostly mortgages. So they tend to watch the spread between 5 year mortgages and this savings account rate. So, this rate tends to change with 5 year mortgage rates rather than prime. Mortgage rates remained stubbornly high, as prime rates fell. And so did the rate on the premium savings account remain stubbornly high.
The chart to the left shows the Bank prime rate and ING's savings and 5 year mortgage rates. It may not be obvious (you get a clear picture by clicking the graphic), but prime rates fell 4% while mortgages rate only fell
No wonder, many credit unions took the unusual step of freezing prime to preserve income. Let's say the credit union froze their prime at 3.50%. Since then, the prime rate has fallen 1.25% and the premium savings account rate has fallen 1.20%. That represented a gain in income for these credit unions. The variable asset rates were stuck, but the variable liability rates continued to fall. That created interest rate risk. Now when prime rises, the variable asset rates will stay constant as they did on the way down. But chances are the savings account rates will also rise. And, in many cases, there is nothing to hedge this expense that is due to interest rates changing. That is a rising rate EAR exposure.
And this is a very unusual interest rate risk.
- The magnitude of this EAR will vary as prime rates rise, such that this EAR will be zero again when bank prime equals the credit union's prime. The magnitude of normal EAR does not change significantly with interest rates.
- This EAR is an exposure to rising rates, whereas credit unions are normally exposed to falling rates. The falling rate exposure still exists, but is currently hidden by the low rate environment. Eventually, rates will rise again and the falling rate exposure will be there again.
- This new EAR is pretty tricky to hedge.
So we now have two types of EAR. We need to give this new form of EAR a name to avoid confusion with the completely different normal EAR. As this EAR will only occur when rates are low, we'll call it Low Rate EAR. So we have normal EAR and, now, Low Rate EAR.
What to do about Low Rate EAR next.
Monday, May 11, 2009
New EAR and Masked EAR
- It seems that the prime rate will not go down anymore. The Bank of Canada indicates that a 2.25% prime rate is the floor; we will not see prime at 2.00%.
- Most credit unions have a falling rate exposure. That falling rate exposure is now $0 because rates likely will not drop any further. In other words, most credit unions now have no Earnings at Risk (EAR) interest rate risk.
- The Bank of Canada forecasts rates will stay at these levels for a year. If true, credit unions will have zero falling rate interest rate risk for the next year.
So falling rate exposures have been eliminated, but that doesn't mean they should be ignored. When rates rise again, they will come back. Instead of relaxing, take this time as an excellent opportunity to optimize (or eliminate) your EAR interest rate risk.
EAR falling rate exposures is temporarily hidden, but when rates rise again it will reappear. Depending on your credit unions shock test and depending how quickly the Bank of Canada raises rates this might be a step-wise process. Here's a few cases:
- If the shock test at your credit union is 25 basis points, the next rise in rates will immediately bring back all of your falling rate EAR.
- If the shock test is 50 basis points and the next move in rates is 25 basis points higher, your falling rate EAR will be one-half of normal. The next move higher after that brings all your EAR all back.
- If the shock test is 100 basis points and the next move in rates is 25 basis points higher, your falling rate EAR will be one-quarter of normal. Each quarter point move higher adds another quarter of EAR exposure.
Having said all that, chances are good that no matter your shock test level, the next move in rates will bring all of your EAR exposure back. Why? The Bank of Canada has engineered rates all the way down to what it calls the effective lower bound - in effect, as low as they can. This would obviously be tremendously inflationary in a normal economy, and one of the main functions of the Bank of Canada is to keep inflation within a tight range. On the other hand, we are in such a bad recession right now that the Bank has lowered rates to the very lowest level it can go. Any rise in rates now could make things worse and could squelch any emerging economic growth. So the Bank won't move rates higher until it is convinced that the economy is rebounding. But, when the economy does seem to be coming back, it will want to move quickly to keep inflation in check. For those reasons, the first rate change is unlikely to be a quarter-point move - more likely it will jump a half percent or more.
If that is correct, the next move in rates will bring back all of your credit union's falling rate EAR. So, it is definitely not a good idea to ignore it. That's why you should take this time of zero EAR to get this masked/hidden exposure under control.
Another thought. As mentioned last time, most interest rate risk models have a 0.0% interest rate floor. This prevents the possibility of negative interest rates. Given the Bank of Canada's last statement, this now seems incorrect. The floor should be set at .25%, which roughly where the current over night rate is. 0.25% is where the Bank of Canada has set the floor. Also, clearly the floor is much higher for variable rate assets. For loans at the prime rate, the floor is 2.25%. If there is a loan with spread over prime, the floor would be 2.25% plus the spread. Some savings account rates are already below 0.25%. For those cases, the floor is the current rate.
Next post we will cover the very interesting ramifications for those credit unions that froze their prime rate at higher levels.
Saturday, May 9, 2009
Ramifications of Zero EAR
First up - all the credit unions with a falling rate exposure. In our experience this is the vast majority of credit unions. Even those credit unions that carefully measure and control their interest rate risk likely have falling rate exposures, so that they can take advantage of the eventual runup in rates.
The latest Bank of Canada statement (well worth reading here) had some very interesting statements. Here's one:
With monetary policy now operating at the effective lower bound (emphasis mine) for the overnight policy rate, it is appropriate to provide more explicit guidance than is usual regarding its future path so as to influence rates at longer maturities. Conditional on the outlook for inflation, the target overnight rate can be expected to remain at its current level until the end of the second quarter of 2010 in order to achieve the inflation target. The Bank will continue to provide such guidance in its scheduled interest rate announcements as long as the overnight rate is at the effective lower bound.
The Bank is calling current interest rates the ' effective lower bound'. The main rate that the Bank of Canada uses in monetary policy is the overnight rate, or the rate for a one-day loan from the Bank of Canada. The major banks and other financial institutions then set their prime rates based on that rate. So indirectly, the Bank of Canada sets prime rates. The current target overnight rate is 0.25% and it is this level that the Bank is calling the effective lower bound.
The Bank of Canada changes its targeted rate in 1/4% increments. So, at 0.25%, there is only one more downward move that is possible. (Negative interest rates are an interesting concept, but who will lend and then pay the borrower interest - it just won't happen.)
The bank is taking this negative rate fact one step further by calling 0.25% the effective lower bound. This is a statement that overnight rate won't drop any further. Why can't it go to 0.0%? Because of the simple fact that those with money may not lend if they cannot get a return and that would be the case at 0.0% interest. A 0.0% interest rate could jam the money markets, stopping the flow of funds. This could reduce credit availability, which is exactly what the Bank has been trying to improve since the credit crunch. So, the Bank will not drop its overnight rate any further. And thus, 0.25% is the effective floor for interest rates.
Now for ramifications. If you have a falling rate exposure, your EAR is now zero. The risk of rates falling any further is close to zero, because the Bank of Canada will not drop its rate any more and so prime will not go down anymore. Hopefully your interest rate risk advisor advisor is telling you this so you can report a zero interest rate exposure to your regulator.
That means a prime of 2.25% is also the floor. There won't be a 2% prime. And this is true for all your variable interest rates - all their interest rates are at effective floors. Their rates will not drop any further. This has considerable meaning for interest rate risk measurement. Most models will not allow rates to fall below zero, but they will assume that car loans at 6% can still go down. Ignoring credit spreads, that is now incorrect.
One of the big mistakes in early interest rate risk models was that they allowed negative interest rates. Say your Plan 24 savings account rate was 0.15% and your interest rate risk model used a shock rate of 50 basis points, the model assumed your Plan 24 rate could go to -0.35%. An impossible negative interest rate. (It's dangerous to use the word impossible these days when discussing interest rate movements, so let's say impossible, unless you think that your members will pay you when they invest their money). So interest rate risk models quickly incorporated a 0.0% rate floor. The effect was a huge jump in the EAR measure. Here's why. If interest rates dropped 0.50%, asset rates would fall 0.50% (reducing income), but Plan 24 rates could only fall 0.15% (not reducing expenses). Overall resulting in a drop in expected income - EAR interest rate risk. Further model refinements would prevent the 0.15% rate from falling at all. And that modification resulted in even more falling rate EAR.
And now that is true on the asset side. And that suggests a big drop in falling rate EAR. Falling rate exposures are now zero, as stated above. But falling rate exposures will be low even when rates start rising again. Say rates go up 0.25%. Now they can drop 0.25% again, but if your rate shock is at 0.50%, then EAR falling rate exposure is still cut in roughly in half.
At BiLd Solutions, we like to use a 2 percent shock/change in rates as a worst case scenario. Obviously, these floors have implications for this measurement. Prime will have to be 4.25% (up 2 percent from the current floor) before the full 2 percent worst case drop in rates is possible.
That's a lot to digest. More on this topic next time.
