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Operator
Ladies and gentlemen, thank you for standing by, and welcome to Radian's second-quarter 2013 earnings call. (Operator Instructions). As a reminder, this conference will be recorded.
I'd now like to turn the call over to our host, Senior Vice President of Investor Relations and Corporate Communications, Ms. Emily Riley. Please go ahead.
Emily Riley - SVP IR & Corporate Communications
Thank you and welcome to Radian's second-quarter 2013 conference call. Our press release, which contains Radian's financial results for the quarter, was issued earlier today and is posted to the investor section of our website at www.Radian.biz.
During today's call, you will hear from S.A. Ibrahim, Radian's Chief Executive Officer, and Bob Quint, Chief Financial Officer. Also on hand for the Q&A portion of the call are Teresa Bryce Bazemore, President of Radian Guaranty; David Beidler, President of Radian Asset Assurance; and Derek Brummer, Executive Vice President and Chief Risk Officer of Radian Group.
Before we begin, I would like to remind you that comments made during this call will include forward-looking statements. These statements are based on current expectations, estimates, projections, and assumptions that are subject to risks and uncertainties, which may cause actual results to differ materially. For a discussion of these risks, please review the cautionary statements regarding forward-looking statements included in our earnings release and the risk factors included in our 2012 Form 10-K, as well as subsequent quarterly and other reports and registration statements filed with the SEC. These are also available on our website.
Now I would like to turn the call over to S.A.
S.A. Ibrahim - CEO
Thank you, Emily. Thank you all for joining us and for your interest in our Company.
On today's call, I will provide highlights from the second quarter, including the attainment of several important milestones, and I will also share my thoughts on the topics and trends important for our industry. Following my remarks, Bob will cover the details of our financial position.
Earlier today, we reported a net loss for the second-quarter 2013 of $33 million, or $0.19 per diluted share. This includes net losses on investments of $130 million and the impact of fair value and other financial instrument gains of $88 million.
Most importantly, our mortgage insurance business achieved profitability absent the impact of fair value gains and losses for the quarter and six months. Needless to say, at Radian we have been working hard to achieve this significant milestone and we're extremely encouraged by the improved performance of our mortgage insurance business.
I am also pleased to point out several additional milestones achieved by Radian. We continue to write a leading share of the new mortgage insurance business in an extremely attractive market, perhaps the best business we have ever written. We recorded our second highest volume of primary flow business in Radian's history in June and for the second quarter. We have successfully improved our portfolio, and in the second quarter, as expected, the profitable high-quality books of mortgage insurance business written since 2008 represented more than half of our total portfolio.
You can see on slide 17 from our webcast presentation that for the six months ended June 30, 2013, the primary earned premiums, less incurred losses, from our 2009 and later MI vintages far exceeded the comparable negative sum from the 2008 and prior vintages. In the second quarter, the MI incurred loss ratio dropped to less than 70%, which represents another significant improvement.
Finally, since 2008, we have been successfully reduced the exposure in our financial guaranty business and have reduced it by 76%, including many of the riskiest segments of the portfolio. Radian Asset has only $7.9 million of exposure to general obligation bonds for the highly publicized municipal bankruptcy in the City of Detroit, for which we hold a loss reserve of nearly half that exposure.
Radian maintained strong holding company liquidity of approximately $816 million and Radian Guaranty's risk-to-capital ratio is a competitive 19.7 to 1 at June 30, 2013. We continue to expect to maintain a risk-to-capital ratio for Radian Guaranty of 20 to 1 or below for the foreseeable future, while also preserving a strong level of holding company liquidity. Bob will cover the upcoming GSE eligibility requirements, which we expect to be issued by the end of the year.
New mortgage insurance written continues to consist of high-quality loans. We wrote a total of $105 billion of new MI business from 2009 through June of this year, which is expected to produce substantial profits and attractive returns, and our primary insurance in force now stands at $151 billion, compared with $130 billion a year ago, an increase of 16%. It is the new vintage mix, size, and performance of this growing insurance in force that is expected to drive our future earnings.
Slide 18 on our webcast presentation breaks out the recent performance by vintage, and I would draw your attention to our profitable post-2008 vintages, as well as our legacy book of business written in 2005 and prior, both of which contributed to our profitability in the quarter. As I mentioned earlier, our high-quality business written after 2008 represents 53% of our primary risk in force and now outweighs our legacy book of business. We believe this achievement is unique to Radian among legacy MI companies and it is a direct result of our market-share gains over the last two years.
You can see the details on slide 19, where the most problematic 2006 and 2007 books are now down to less than 17% of the total portfolio. The slide also shows that including HARP refis, which improved the credit profile of our legacy book, new business underwritten since 2009 now represents 64% of Radian's mortgage insurance primary risk in force.
As you know, the HARP program was extended to 2015, which should allow additional deserving borrowers to take advantage of the program.
It is important to note that we continue to expect a marginal level of mortgage insurance profitability for the full-year 2013. As a reminder, this forecast excludes the impact of stock price changes on our long-term compensation expense, as well as net fair value gains and losses.
Now, I would like to highlight the progress made against three important priorities for Radian -- writing new mortgage insurance business, mitigating losses on our mortgage insurance portfolio, and reducing our financial guaranty exposure. First, we wrote $13.4 billion of new mortgage insurance business in the second quarter, an increase of 60% year over year. While it is too early to provide volume for July, we are on track to reach net new business comparable to or surpassing our outstanding June NIW.
As I've mentioned before, mortgage originations over the past two years have been driven by high volumes of refinance activity. We are beginning to see signs of a marked refi slowdown and a shift in the market to more purchased business, which is likely to reduce the overall origination market.
Thus far, interest rates do not appear to have meaningfully slowed down purchase activity, and it must be noted that the MI penetration for purchased loans is about three to four times greater than for refi loans. While further increases in interest rates could reduce purchase activity, they are also likely to increase our persistency rate, which will help us grow our insurance in force. On average, every 1% increase in persistency means that approximately $1.5 billion of insurance in force remains on our books each year.
Also worth noting is that purchase patterns tend to be seasonably skewed slow in the first quarter, strongest in the middle quarters, and then slowing again in the fourth quarter.
We also continue to grow and diversify our customer base, which has helped us grow and maintain our share of new business. This year, we signed up 117 new lender customers, and our pipeline of prospective new customers remains strong. And new customers bring more volume, as more than 25% of our new insurance written in the first six months came from customers new to Radian within the last two years.
We also continue to gain more business from existing customers, which is a good indicator of how positive they feel about us. NIW coming from lenders we have worked with for more than two years grew 46% from the second quarter of last year.
We are supporting our customers with a continually enhanced, industry-leading sales and training team, made up of a combination of seasoned, as well as new, talent. In the first half of 2013, our trainers reached 50% more customers than we did in all of 2012. The Radian Foundation Series, our newest suite of courses focused on basic underwriting and processing, is gaining popularity. After only six months, more than 250 participants have completed the course to earn their certificate.
Next, focusing on our continued efforts to mitigate losses in our mortgage insurance portfolio, the total number of primary delinquent loans declined by 8% from the first quarter of this year and 21% year over year, as you can see on slide 22. And the default rate on our primary book fell further in the first quarter to 9.7%.
We maintain $2.7 billion in loss reserves, and our primary reserve per default increased slightly from the first quarter to $30,932, up from $28,410 a year ago.
HAMP and other modification programs continue to produce steady results, and borrowers show signs of commitment to their home and mortgage even in the latest stages of default. As you can see on slide 12, 31% of borrowers whose loans were in default made at least one monthly payment in the second quarter. And redefaults represent 78% of new defaults in this quarter. Historically, re-defaulted loans have been less likely to result in a claim than first-time defaults.
Finally, our Financial Guaranty business continues to serve as an important and unique source of capital for Radian Guaranty. We have successfully reduced our exposure in that business from a peak of $115 billion in June 2008, when Radian Asset stopped writing new business, to $27 billion in the second quarter of this year. Radian Asset paid a dividend to Radian Guaranty in July of $36 million, for a total of $420 million paid since 2008. We expect Radian Asset to continue to pay dividends in future years.
As of June 30, 2013, Radian Asset maintained statutory surplus of $1.2 billion and additional claims-paying resources of $396 million, including $248 million of contingency reserve.
The private mortgage insurance industry continues to slowly but steadily begin share from the FHA. We estimate that penetration for our industry was 8.7% in the second quarter, up 12% from the first quarter of this year and up an impressive 30% since the second quarter of last year. The FHA's latest price increase in April, coupled with the elimination in June of FHA mortgage insurance premium cancellations, should help continue this shift of business from FHA to private mortgage insurance.
In terms of housing market trends, CoreLogic recently reported May statistics citing rising home prices for 15 consecutive months and the largest year-over-year increase in the last seven years. While rising interest rates have recently made headlines, they have been at historically low levels. According to the National Association of Realtors, existing home sales were at the highest level in May since November 2009 when buyers took advantage of the tax stimulus.
Turning to the regulation and legislation affecting our industry, we continue to actively engage with legislators and other decision-makers in Washington. The qualified mortgage rule, or QM, which will go into effect early next year, closely mirrors the mortgage lending environment we have successfully been operating in today. And the final Basel III rule preserves the important role for private mortgage insurance.
The bipartisan Corker-Warner bill recently introduced on GSE reform also explicitly supports the increased use of private mortgage insurance for low down payment loans in the housing market.
Overall, we continue to hear a resounding support from Capitol Hill for a healthier balance between public and private sectors in today's mortgage market, which is extremely positive for our industry.
In closing, our improved financial performance in the first half of this year, particularly in our MI business, continues to energize our team at Radian. This continued improvement remains our top priority and will be driven by three important factors.
First, the size and potential earnings power of the high-quality new MI business we have already written since 2008 and our growing insurance in force book. Second, the continued management of our legacy mortgage insurance book, which is now a smaller piece of our total MI portfolio than the high-quality book written after 2008. We expect the legacy book will continue to improve through HARP modifications and home price appreciation. Third, our success in building a strong sales and operations platform to continue writing more high-quality future business, driven by our strong customer relationships that have earned us the number one market-share position.
Now I'd like to turn the call over to Bob for details of our financial position.
Bob Quint - EVP, CFO
Thanks, S.A. I will be updating you on our P&L activity and trends for the second quarter of 2013, our capital and liquidity positions as of quarter-end, and some updated expectations regarding 2013.
The MI provision for losses was $136 million this quarter, compared to $132 million last quarter and $208 million a year ago. This is the second consecutive quarter with an MI loss ratio of approximately 70%, reflecting improving delinquency trends and stable claim submissions, as well as a steady increase in earned premium from our growing book of business. We have not changed our frequency expectations on either new or aged defaults.
MI earned premium in the second quarter also benefited from an approximate $9 million reduction in the premium refund accrual relating to future rescission.
For the balance of 2013, we continue to expect a much improved incurred loss line from the comparable 2012 quarters, driven by a relative decline in new defaults and no material changes to net roll rate expectations.
Paid claims for the full-year 2013 are expected to be approximately $1.4 billion. The reduction in average claims paid this quarter is due primarily to lower average loan balances and coverage percentages on claims paid in the quarter. Curtailments have remained elevated, which have also positively impacted severity.
We have been successful in reducing our primary pending claims inventory from 17,625 at year-end 2012 to 15,018 as of June 30, 2013, and we anticipate that pending claim inventory will continue to decline.
Single premium business written since the beginning of 2009 has continued to perform well in 2013 with loss ratios similar to those for monthly premium business. While our pricing is in line with the general industry pricing, we have chosen to sell the product to our customers as a competitive product to FHA. We expect to see our new business mix shift toward more monthly premium business due to the higher percentage of purchase volume in the mortgage origination market and a decline or elimination of borrower paid singles from the implementation of the Dodd-Frank qualified mortgage rule early next year. Borrower paid singles are currently about 28% of our singles volume and 9% of our overall production.
Beginning April 1, we reduced the quota share percentage for new business ceded to our external reinsurance partner from 20% to 5%. That helped reduce the amount of ceded premiums written significantly in the second quarter. In addition, we will also have the option to recapture a portion of the ceded quota share risk at year-end 2014 and 2015. Those decisions will be based on the performance of the business and our capital position at that time.
The unrealized losses in our investment portfolio this quarter were caused by rising interest rates, which reduced the market value of our fixed-income portfolio. These losses are temporary as we expect to hold the investments, are GAAP only, and are not recorded for statutory purposes and therefore do not impact our risk-to-capital ratio. Most of our investment portfolio is classified as trading, which requires us to run unrealized gains and losses on most securities through the P&L.
As a reminder, each quarter we disclose the sensitivity of our investment portfolio to interest rate shifts in our 10-Q, which provides a reasonable estimate for potential changes in portfolio value.
Fair-value gains for the quarter were caused primarily by an upgrade of MBIA during the quarter. This had the effect of reversing much of last quarter's fair-value loss caused by MBIA's downgrade on a large second-to-pay financial guaranty exposure.
Slide nine depicts our current balance sheet fair-value positions, along with the expected net credit losses or recoveries on fair-valued exposures. Based on our projections, we expect to add approximately $337 million, or just under $2, to pretax book value over time as the exposures mature or are otherwise eliminated. That number is derived by taking the net balance-sheet liability of $275 million and adding the present value of expected credit loss recoveries of $62 million.
In the first quarter of this year, operating expenses were impacted significantly by $38 million of long-term incentive compensation expenses. The comparable expense in the second quarter of 2013 is approximately $19 million, which includes the impact of a smaller increase in our stock price during the quarter. Of the $19 million, approximately $7 million was a direct result of Radian's stock price increase of just under $1 during the quarter. Approximately $4 million represented a second-quarter specific expense associated with our regular, newly issued, performance-based, long-term compensation awards in the second quarter of 2013. The balance of the expense this quarter, or approximately $8 million, is the base long-term incentive compensation expense for the remainder of 2013, to which any stock price or other impact will be added.
Policy acquisition costs were down this quarter, primarily due to higher persistency of recent vintages, which slows down our amortization scheduled costs that were recently added to the policy acquisition asset. Our valuation allowance against our deferred tax assets is currently a little over $1 billion, or just under $6 per share. We continue to believe that our full DTA will be realized in the future as we become profitable, with a full recovery still expected to occur sometime in 2015.
Our risk-to-capital ratio ended the quarter at 19.7 to 1. Our current plan is to manage our risk to capital below 20 to 1, and we have substantial holding company resources with which to do so. We anticipate making a contribution to Radian Guaranty in the third quarter to support the expected risk in force growth and to remain below 20 to 1.
While the details of the new GSE eligibility capital requirements for MIs are still unknown, we expect them to be issued by year-end. We have heard about possible requirements in the 18 to 1 range and potential additional capital requirements for legacy exposure and/or subsidiary capital haircuts. We fully expect to have the ability to comply with any such requirements within the implementation timeframe.
Our holding company liquidity stands at approximately $816 million. We have $55 million of remaining par maturing in June 2015, with the balance of our outstanding debt due in 2017 or later. In terms of future impact to our GAAP book value, in addition to ongoing profits or losses, the primary items to consider are the valuation allowance against our DTA and the fair-value liability that I referred to earlier, which are expected to add to book value, as well as the equity component of our convertible debt, which is approximately $182 million as of June 30 and will be accreted into debt over time, thus reducing our pretax book value by a little over $1.
I'd now like to turn the call back over to the operator for questions.
Operator
(Operator Instructions). Bose George, KBW.
Bose George - Analyst
Good morning. Actually, the first question was just on your average premium. We calculated a slight increase, so I was just curious if there was a blip or is the premium trending up based on any sort of mix shift?
Bob Quint - EVP, CFO
Bose, as I mentioned, we had this $9 million recognition of earned premium that was a rescission, a refund accrual reduction, so that is going to impact -- if you just take the earned premium and do it that way, it can impact the number a little bit. But if you pull that out, I think you will be pretty close to our constant average premium rate.
Bose George - Analyst
Okay, great. And you gave some details on your single premium production, but do you have the percentage of single premiums of your insurance in force?
Bob Quint - EVP, CFO
I believe last we looked, it was about 20%. So it might be up slightly from that.
Bose George - Analyst
Okay, great. And then, in terms of the cure rates, what cure rates do you assume on new defaults? And how does that vary just based on the level of re-defaulting that these borrowers are doing?
Bob Quint - EVP, CFO
We do tell you what our goal rate, our frequency expectations are. I believe that is slide 11. And that is going to tell you by bucket what our -- if you look, for example, at three payments or fewer, with a gross low rate of 25%, we are expecting 75% not to be claimed. So I think that is what you're asking.
Then it is different, obviously, for the different default buckets.
Bose George - Analyst
Okay, great. And then, actually, one last thing. Just wanted to follow up on your comment that you made about the subsidiary capital haircuts. Is it too early to tell what that could look like? Just any color on that.
Bob Quint - EVP, CFO
It is too early to tell. We have only heard that that's a possibility. We have not heard anything further, and we will have to see once the eligibility requirements come out what that looks like, if it is even (inaudible)
Bose George - Analyst
Okay, great. Thanks a lot.
Operator
Doug Harter, Credit Suisse.
Doug Harter - Analyst
Thanks. Just another question on the single premium. Just wondering if you saw any impact from the higher rates yet or should we expect that more to come sort of in the back half of the year?
Teresa Bryce Bazemore - President Radian Guaranty
This is Teresa. I don't think we have seen any impact at this point. Obviously, we do see a higher percentage of singles being used with the refi business, and so with the refis sort of tailing off as we are already seeing, we would expect to see some reduction there just on that basis.
Doug Harter - Analyst
And then, I guess, just on the persistency, has that slowed down -- or, I guess, persistency increased or the prepayments slowed yet, or again, is that sort of more later?
Bob Quint - EVP, CFO
Yes. I mean, I think you're going to see that happen. We have seen it on the more recent vintages, for sure.
I don't think you will see our overall persistency for the year, which we report, change very much from last quarter. But I think you will see that increase over the next several quarters.
Doug Harter - Analyst
Great. And then, on the financial guarantor, you said you expect to be able to continue to get dividends out of there. At what point, as the risk continues to fall there, might the pace of dividends be able to accelerate, to be able to pull that capital out of the financial guarantor?
Bob Quint - EVP, CFO
Well, to this point, we have only paid ordinary dividends. Our goal has been to reduce the exposure, which we've done a good job of. So in terms of ordinary dividends, we would expect steady levels of ordinary dividends. But as we reduce the exposure, we are putting the Financial Guaranty company in a very good position.
Doug Harter - Analyst
And is there a risk-to-capital level there that you would target before looking to go after non-ordinary dividends?
Bob Quint - EVP, CFO
I don't think there is any formula, but certainly what we have done and what we continue to do as a Company puts us in a much better position.
Doug Harter - Analyst
Great. Thank you.
Operator
Jack Micenko, SIG.
Jack Micenko - Analyst
Looking at the denial reinstatement page on the slide deck, pretty big falloff in Q2 and clearly a positive. I know there is some sort of statute of limitations there, 12 months or so. Are we -- is that a number that looks right going forward? Are we sort of out of the window where some of those denials can be restated? Is that 13% the right number to think about on a go forward?
Bob Quint - EVP, CFO
I think the percentage that you are referring to is the most recent quarter. So that is not going to be indicative of what it is going to be.
We still generally use 60% as our initial denial reinstatement rate, and then it comes down over time. So that first quarter, that 13%, that is going to go up, very likely. So we haven't changed our expectations and 60% is our general expectation.
Jack Micenko - Analyst
Okay, great. And then, with your late-stage and your pending claim assumptions, they have kind of walked up since the beginning of 2012. So it looks on the surface you are getting more conservative on the view of those later stages, and it's, I guess, to be expected. Do those numbers go materially higher from here? I guess they are up maybe 600 basis points on the pending over the last year and a half or so? Are we pretty close to the -- sort of where we peak on that?
Bob Quint - EVP, CFO
I think you have seen a change as more relating to our expectation that there will be a reduction in denials and rescissions over time. I don't think the growth rates have changed in quite some time. But over time, we do expect denials and rescissions to come down, so the net will likely go up (multiple speakers)
Jack Micenko - Analyst
Okay. And then, just one last one, FG provisions on a year-to-year basis, despite what has been a nice ongoing decline in risk computation and that sort of thing, is that specifically tied to any municipal event or anything, or what can you say about that increase in the FG provision?
Bob Quint - EVP, CFO
Yes, it was pretty much Detroit for the quarter. Last quarter, as I recall, was do -- almost nothing. This quarter, it was still very small.
Jack Micenko - Analyst
And that got you to the 50% reserve on Detroit? Is that the way to think about it?
Bob Quint - EVP, CFO
Yes. Yes, nearly 50%, yes.
Jack Micenko - Analyst
All right. Thank you.
Bob Quint - EVP, CFO
Sure.
Operator
Sean Dargan, Macquarie.
Sean Dargan - Analyst
Thank you and good morning. I'm just wondering what it would take for you to get to change your assumption around the gross projected default to claim rate. What would you need to see to maybe bring that down in the more recent delinquencies?
Bob Quint - EVP, CFO
Sean, I think -- we use historical experience, so certainly an improvement in cure rates would go a long way. I think that would be the biggest driver. Or in some other way, we've got to be convinced that the defaults won't go to claim.
We see a lot of evidence that people still make payments and the aging of the defaults there. We did a series of slides that show or demonstrate why the aged defaults may not be paid claims, but I think evidence would be improving cure rate, for sure, or other evidence that they won't be paid claims.
Sean Dargan - Analyst
Okay, great. And coming back to the singles. You mentioned a few numbers. Did you say that singles are 9% of overall production in recent quarters?
Bob Quint - EVP, CFO
The borrower paid singles --
Sean Dargan - Analyst
Okay.
Bob Quint - EVP, CFO
We specifically said would likely decline or go away with QM implementation. That's 9% of our overall production, or a little less than a third of our singles.
Sean Dargan - Analyst
Okay. And so, the overall single production is around 28% of the total, or has been in recent quarters?
Bob Quint - EVP, CFO
Yes. Yes. About 30%, a little less -- about 30%.
Sean Dargan - Analyst
Okay. And where do you think that might shake out if interest rates continue to rise or stay where they are?
Bob Quint - EVP, CFO
We certainly have it going down into the 20%s and perhaps down to 20% over time.
Sean Dargan - Analyst
Okay, thanks. One last question. Can you remind us what the rationale for holding your investments as [straightening] securities when your competitors, and I believe most insurers, hold them as AFS?
Bob Quint - EVP, CFO
Yes. We classify our investments, or most of them, as trading -- if you go back to 2007, 2008, we had a lot of uncertainty at that time regarding future claims and operating cash flow being negative. So there was an expectation that we would likely need to liquidate investments.
And that really drove the classification to trading and that requires us to run any unrealized gains or losses through the P&L. It ends up in the same place -- it ends up in retained earnings, but -- or on the balance sheet. But we run it through the P&L because of that.
Sean Dargan - Analyst
Okay, great. Thank you.
Operator
Mark DeVries, Barclays.
Mark DeVries - Analyst
Thanks. First, I have a follow-up on your investment portfolio. Given the fact that it is categorized in trading in the income statement, the GAAP income statement volatility that creates, have you thought about reposition -- [that] to get a little more defensive and have less duration into a potentially further rising rate environment?
Bob Quint - EVP, CFO
Yes. There is certainly some thought into re-evaluating, especially due to our current expectations regarding holding the securities that we own. So, yes, we have had some thought about that.
Mark DeVries - Analyst
Okay. Great. Could you talk a little bit about how the distribution of new notices by vintage year has been moving? Are you seeing a clear shift towards less of the 2006 and 2007 and more of the newer loans?
Bob Quint - EVP, CFO
I think over time we have been seeing gradual credit burnout, so the percentage coming from the later -- earlier vintages has been decreasing pretty steadily over time.
Mark DeVries - Analyst
Okay. And I would assume as that evolves, you should see an expectation in your ultimate cure rates on those, right? I mean, I assume you are not assuming the same level of cures on an 2006 as you are on a 2011 loan. Is that fair?
Bob Quint - EVP, CFO
Well, to the extent that there are various vintages within the population that we observe, I would say yes. So if the population turns over over time and it is all recent vintages and the cure rates are higher, that's going to be reflected.
Mark DeVries - Analyst
Okay, got it. Bob, I think you mentioned that there is a plan to downstream some capital into the MI subsidiary in the quarter. Did you say how much you are planning to push down?
Bob Quint - EVP, CFO
No. We didn't say, Mark. It's really going to depend on the growth of the book, so we obviously are growing our book significantly. We are writing a lot, so it's going to depend on the growth -- that growth, the persistency, and also, obviously, the results. But the plan is to manage to just below 20 to 1.
Mark DeVries - Analyst
Okay. And this next question, I'm just trying to get a sense of what I should be modeling for average paid claims. If you were to pay all of your claims today, all the loans, delinquent loans you expect to pay out, do you have a sense, Bob, for what the average claim would be relative to what it was this quarter? Should we expect that to trend down, flat, or be up?
Bob Quint - EVP, CFO
Yes, I mean, I think it would be in the range that it's been this year. You know, quarter to quarter, the average claim has tended to go up and down more related to what I said, the size, the coverage percentage, so more or less coincidental. But if you look at the average claim over a period, I think that's a fair estimate for the future.
Mark DeVries - Analyst
Okay, got it. Two other quick questions. First, is there any impact on your average premium from the decision to reduce the amount that you are re-insuring? Does that flow through to the [green] line?
Bob Quint - EVP, CFO
Yes. That will reduce the ceded premium. But that is going to happen over time because we've got this existing reinsured book, so you're not going to see that right away. You're going to see it much more when premiums are written than you will in earned.
Mark DeVries - Analyst
Okay, got it. And then, just finally, can we assume that for every dollar of stock price depreciation, that adds roughly $7 million of stock comp expense? Is that the right way to look at it?
Bob Quint - EVP, CFO
Yes, that's about what it has been and what we expect it to be. There are other factors that could impact it, so it's not a perfect correlation. But that's why we said it. It has been about that for the last two quarters.
Mark DeVries - Analyst
Okay, got it. All right. Thanks.
Bob Quint - EVP, CFO
Sure.
Operator
Geoffrey Dunn, Dowling & Partners.
Geoffrey Dunn - Analyst
Thanks. Good morning. Bob, I've got a couple of questions. First, can you talk about provisioning on new notices, and maybe compare the levels that we are looking at today versus precrisis or normalized type of provisioning for normalized incidents?
Bob Quint - EVP, CFO
The 25% roll rate is higher than -- if you go back in history, it is higher than history.
Geoffrey Dunn - Analyst
And where would you put history?
Bob Quint - EVP, CFO
Probably closer to the 15% range.
Geoffrey Dunn - Analyst
Okay. And then, as we look at using your disclosures from the slide deck and we look at the vintage loss ratio development, there seems to be a pretty big delta of performance looking at the 2009 versus 2010 book. I'm not sure if there is a material underwriting difference there or if 2009 is getting hit by refinancing activity. Can you talk a little bit about that delta and -- because, obviously, we are looking at single-digit loss ratios on the 2010, 2011, 2012 so far, although they are still pretty young. But 2010 versus 2009 really stands out.
Bob Quint - EVP, CFO
Yes. I mean, I think we have said that 2009 looks like it's going to perform as expected. So that was still a transition in terms of underwriting and things like that. But it will perform well. It will perform as expected.
2010, 2011, 2012, hopefully 2013, are looking significantly better. So I think the difference there is just how 2010, 2011, 2012 stand out in terms of their performance as opposed to 2009. 2009 is still going to be kind of as expected when we talk about an expectation of mid-teen ROEs. The more recent ones are going to be better.
Geoffrey Dunn - Analyst
Okay. And when we think about the 2010 and after vintages, historically we have tended to look at your 2003 and 2004 as being the kind of peak provision years, and then 2004 and 2005 as the paids. Do you think the 2010 and after books are developing similarly, or are they just more elongated and maybe we will see the complete development more in year 2005 or 2006?
Bob Quint - EVP, CFO
They seem to be better at this point, so yes, we still have peak loss periods to get through. But based on just comparable -- looking at the comparable periods, they are better.
S.A. Ibrahim - CEO
Also, Geoff, in terms of your comments on the difference in the vintage default performance of the 2009 versus later books, while, as Bob said, it is not that 2009 is bad. 2009 is good. The others are so much better. Also keep in mind, the size of the other books is larger, the more recent books.
Geoffrey Dunn - Analyst
Okay, great. Thank you.
Operator
And I will hand the call back over to S.A. Ibrahim. Please go ahead.
S.A. Ibrahim - CEO
Thank you, Operator, and thank you all for participating in our call and look forward to seeing you on the next call. Thanks.
Operator
And that does conclude our conference for today. Thanks for your participation and for using AT&T executive teleconference. You may now disconnect.