Holding other assumptions constant, the following table reflects what a one hundred basis point increase and decrease in our estimated long-term rate of return on plan assets would have on our estimated 2010 pension expense (in millions):
## Table 0 ##
Estimated future contributions We estimate contributions of approximately $381 million in 2010 as compared with $437 million in 2009.
Goodwill and Other Intangible Assets Goodwill represents the excess of cost over the fair market value of the net assets acquired.
We classify our intangible assets acquired as either trademarks, client lists, non-compete agreements, or other purchased intangibles.
Our goodwill and other intangible balances at December 31, 2009 were $6.1 billion and $791 million, respectively, compared to $5.6 billion and $779 million, respectively, at December 31, 2008.
Although goodwill is not amortized, we test it for impairment at least annually in the fourth quarter.
Beginning in 2009, we also test trademarks (which also are not amortized) that were acquired in conjunction with the Benfield merger for impairment.
We test more frequently if there are indicators of impairment or whenever business circumstances suggest that the carrying value of goodwill or trademarks may not be recoverable.
These indicators may include a sustained significant decline in our share price and market capitalization, a decline in our expected future cash flows, or a significant adverse change in legal factors or in the business climate, among others.
No events occurred during 2009 or 2008 that indicate the existence of an impairment with respect to our reported goodwill or trademarks.
We perform impairment reviews at the reporting unit level.
A reporting unit is an operating segment or one level below an operating segment (referred to as a ‘‘component’’).
A component of an operating segment is a reporting unit if the component constitutes a business for which discrete financial information is available and segment management regularly reviews the operating results of that component.
An operating segment shall be deemed to be a reporting unit if all of its components are similar, if none of its components is a reporting unit, or if the segment comprises only a single component.
The goodwill impairment test is a two step analysis.
Step One requires the fair value of each reporting unit to be compared to its book value.
Management must apply judgment in determining the estimated fair value of the reporting units.
If the fair value of a reporting unit is determined to be greater than the carrying value of the reporting unit, goodwill and trademarks are deemed not to be impaired and no further testing is necessary.
If the fair value of a reporting unit is less than the carrying value, we perform Step Two.
Step Two uses the calculated fair value of the reporting unit to perform a hypothetical purchase price allocation to the fair value of the assets and liabilities of the reporting unit.
The difference between the fair value of the reporting unit calculated in Step One and the fair value of the underlying assets and liabilities of the reporting unit is the implied fair value of
The Company’s transfers of certain CMOs in and out of Level 3 are generally driven by changes in price transparency for the securities.
Financial instruments for which actively quoted prices or pricing parameters are available will have a higher degree of price transparency than financial instruments that are thinly traded or not quoted.
As of December 31, 2011, less than 1% of the Company’s total assets and none of its total liabilities represented instruments measured at fair value on a recurring basis categorized as Level 3.
Nonrecurring Fair Value Measurements The Company records certain other assets at fair value on a nonrecurring basis: 1) one- to four-family and home equity loans in which the amount of the loan balance in excess of the estimated current value of the property less estimated costs to sell has been charged-off; and 2) real estate acquired through foreclosure that is carried at the lower of the property’s carrying value or fair value, less estimated selling costs.
The following table presents the fair value of assets prior to deducting estimated selling costs that were carried on the consolidated balance sheet as of December 31, 2011 and 2010, and for which a nonrecurring fair value measurement was recorded during the period (dollars in thousands):
## Table 1 ##
Loans that have been delinquent for 180 days and are charged off based on the estimated current value of the underlying property less estimated selling costs remain classified as nonperforming loans until they complete the foreclosure process and become REO.
Property valuations for one- to four-family and home equity loans are based on the most recent “as is” property valuation data available, which may include appraisals, automated valuation models, prices for identical or similar properties, broker price opinions or home price indices.
The Company obtains property valuation data quarterly.
If the valuation data obtained is significantly different from the valuation previously received, the Company orders additional property valuation data to corroborate or update the valuation.
Property valuations for real estate acquired through foreclosure are based on the lowest value of the most recent property valuation data available, which may include appraisals, listing prices or offer prices.
These fair value measurements were classified as Level 3 of the fair value hierarchy as all of the valuations included Level 3 inputs that were significant to the estimate of fair value.
Subsequent to the recording of an initial fair value measurement, these loans continue to be measured at fair value on a nonrecurring basis, utilizing the estimated value of the underlying property less estimated selling costs, which is updated on a quarterly basis.
If the value of the underlying property has declined, an additional charge-off is recorded.
If the value of the underlying property has increased, previously charged-off amounts are not recovered.
These loans continue to be reported as nonperforming loans unless they meet the requirements for being reported as performing loans.
The following table presents the losses associated with the assets measured at fair value on a nonrecurring basis during the years ended December 31, 2011, 2010 and 2009 (dollars in thousands):
## Table 2 ##
(1) Certain disclosures are not presented for periods prior to the adoption date as the amended fair value measurement disclosure guidance for certain items was not adopted by the Company until January 1, 2010.
The following table represents the breakdown of the total recorded investment in loans receivable and allowance for loan losses by loans that have been collectively evaluated for impairment and those that have been individually evaluated for impairment (dollars in thousands):
## Table 3 ##
The weighted-average remaining maturity of mortgage loans secured by one- to four-family residences was 296 and 307 months at December 31, 2011 and 2010, respectively.
Additionally, all loans outstanding at December 31, 2011 and 2010 in the portfolio were serviced by other companies.
During the years ended December 31, 2011 and 2010, the Company agreed to settlements with three particular originators specific to loans sold to the Company by those originators.
One-time payments were made to the Company satisfy in full all pending and future repurchase requests with those specific originators.
During the years ended December 31, 2011 and 2010, the Company applied $46 million and $25 million to the allowance for loan losses, resulting in a corresponding reduction in net charge-offs as well as provision for loan losses.
In the second quarter of 2010, the Company sold a total of $232 million of its one- to four-family loans to Fannie Mae, resulting in a gain of $6.5 million which is recorded in the gains on loans and securities, net line item on the consolidated statement of income (loss).
Of the $232 million in sales to Fannie Mae, $216 million were in the form of an agency securitization.
The Company received the agency mortgaged-backed securities created from the securitization as proceeds from the sale and classified them as available-for-sale securities on the consolidated balance sheet.
The Company structured this transaction to minimize the risk associated with credit losses of the underlying loans as Fannie Mae guarantees the payments from the resulting securities.
The Company did not consolidate the agency securitization as the Company concluded that it was not the primary beneficiary under the variable interest entity model.
For the foreseeable future, the Company does not plan to securitize or sell any of the remaining one- to four-family loans in its held-for-investment portfolio.
Credit Quality The Company tracks and reviews factors to predict and monitor credit risk in its mortgage loan portfolio on an ongoing basis.
These factors include: loan type, estimated current LTV/CLTV ratios, delinquency history, documentation type, borrowers’ current credit scores, housing prices, loan acquisition channel, loan vintage and geographic location of the property.
In economic conditions in which housing prices generally appreciate, the Company believes that loan type, LTV/CLTV ratios, documentation type and credit scores are the key factors in determining future loan performance.
In a housing market with declining home prices and less credit available for refinance, the Company believes the LTV/CLTV ratio becomes a more important factor in predicting and monitoring credit risk.
The factors are updated on at least a quarterly basis.
The Company tracks and reviews delinquency status to predict and monitor credit risk in the consumer and other loan portfolio on an ongoing basis.
The home equity loan portfolio is primarily second lien loans on residential real estate properties, which have a higher level of credit risk than first lien mortgage loans.
Approximately 14% of the home equity portfolio was in the first lien position as of December 31, 2011.
The Company holds both the first and second lien positions in less than 1% of the home equity loan portfolio.
The home equity loan portfolio consists of home equity installment loans and home equity lines of credit.
Home equity installment loans are primarily fixed rate and fixed term, fully amortizing loans that do not offer the option of an interest-only payment.
Home equity lines of credit convert to amortizing loans at the end of the draw period, which ranges from 60 months to 120 months.
At December 31, 2011, the vast majority of the home
As a result of an overall decline in delinquent loans and the elimination of certain modification programs in the first quarter of 2012, modification volumes have decreased significantly in 2012.
While the re-delinquency rates twelve months after modification have remained stable, this metric has become less meaningful as the vast majority of our modifications are beyond twelve months since modification date.
Therefore, we have ceased using this measure as a key indicator of TDR performance.
The overall delinquency status of TDR loan modifications is now the primary measure we use to evaluate the performance.
The following table shows TDR loan modifications by delinquency category as of December 31, 2012 and 2011 (dollars in millions):
## Table 4 ##
Included in allowance for loan losses was a specific valuation allowance of $171.4 million and $320.1 million that was established for modifications at December 31, 2012 and 2011, respectively.
The specific valuation allowance for these individually impaired loans represents the forecasted losses over the remaining life of the loan, including the economic concession to the borrower.
The following table shows TDR loan modifications and the specific valuation allowance by loan portfolio as well as the percentage of total expected losses as of December 31, 2012 and 2011 (dollars in millions):
## Table 5 ##
The recorded investment in TDR loan modifications includes the charge-offs related to certain loans that were written down to the estimated current value of the underlying property less estimated costs to sell.
These charge-offs were recorded on modified loans that were delinquent in excess of 180 days or in bankruptcy and on TDRs when certain characteristics of the loan, including CLTV, borrower’s credit and type of modification, cast substantial doubt on the borrower’s ability to repay the loan.
The total expected loss on TDR loan modifications includes both the previously recorded charge-offs and the specific valuation allowance.
Total expected losses on TDR loan modifications increased slightly from 35% at December 31, 2011 to 37% at December 31, 2012

Tables referenced above, in order (Table 0 first):
<table><tr><td></td><td>Change in long-term rateof return on plan assets</td></tr><tr><td>Increase (decrease) in expense</td><td>Increase</td><td>Decrease</td></tr><tr><td>U.S. plans</td><td>$-13</td><td>$13</td></tr><tr><td>U.K. plans</td><td>-32</td><td>32</td></tr><tr><td>The Netherlands plan</td><td>-5</td><td>5</td></tr><tr><td>Canada plans</td><td>-2</td><td>2</td></tr></table>
<table><tr><td></td><td colspan="2"> December 31,</td></tr><tr><td></td><td> 2011</td><td> 2010</td></tr><tr><td>One- to four-family</td><td>$823,338</td><td>$880,044</td></tr><tr><td>Home equity</td><td>61,163</td><td>61,940</td></tr><tr><td>Total loans receivable measured at fair value</td><td>$884,501</td><td>$941,984</td></tr><tr><td>REO measured at fair value</td><td>$81,505</td><td>$140,029</td></tr></table>
<table><tr><td></td><td colspan="3"> Year Ended December 31,</td></tr><tr><td></td><td> 2011</td><td> 2010</td><td> 2009<sup>-1</sup></td></tr><tr><td>One- to four-family</td><td>$221,717</td><td>$291,351</td><td>N/A</td></tr><tr><td>Home equity</td><td>112,426</td><td>152,386</td><td>N/A</td></tr><tr><td>Total losses on loans receivable measured at fair value</td><td>$334,143</td><td>$443,737</td><td>$556,685</td></tr><tr><td>Losses on REO measured at fair value</td><td>$27,582</td><td>$41,203</td><td>$56,460</td></tr></table>
<table><tr><td></td><td colspan="2"> Recorded Investment  December 31,</td><td colspan="2"> Allowance for Loan Losses  December 31,</td></tr><tr><td></td><td> 2011</td><td> 2010</td><td> 2011</td><td> 2010</td></tr><tr><td>Loans collectively evaluated for impairment</td><td>$11,736,731</td><td>$15,116,217</td><td>$502,673</td><td>$674,202</td></tr><tr><td>Loans individually evaluated for impairment (TDRs)</td><td>1,418,892</td><td>1,036,871</td><td>320,143</td><td>356,967</td></tr><tr><td>Total recorded investment in loans receivable</td><td>$13,155,623</td><td>$16,153,088</td><td>$822,816</td><td>$1,031,169</td></tr></table>
<table><tr><td></td><td> Modifications Current</td><td> Modifications 30-89 Days Delinquent</td><td> Modifications 90-179 Days Delinquent</td><td> Modifications 180+ Days Delinquent</td><td> Total Recorded Investment in Modifications</td></tr><tr><td> December 31, 2012</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$838.0</td><td>$105.2</td><td>$43.9</td><td>$79.1</td><td>$1,066.2</td></tr><tr><td>Home equity</td><td>195.0</td><td>15.1</td><td>6.2</td><td>7.1</td><td>223.4</td></tr><tr><td>Total</td><td>$1,033.0</td><td>$120.3</td><td>$50.1</td><td>$86.2</td><td>$1,289.6</td></tr><tr><td> December 31, 2011</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$767.3</td><td>$88.2</td><td>$33.2</td><td>$84.3</td><td>$973.0</td></tr><tr><td>Home equity</td><td>351.6</td><td>51.4</td><td>34.5</td><td>8.4</td><td>445.9</td></tr><tr><td>Total</td><td>$1,118.9</td><td>$139.6</td><td>$67.7</td><td>$92.7</td><td>$1,418.9</td></tr></table>
<table><tr><td></td><td> Recorded Investment in Modifications before Charge- offs</td><td>Charge-offs</td><td> Recorded Investment in Modifications</td><td>Specific Valuation Allowance</td><td> Net Investment in Modifications</td><td>Specific Valuation Allowance as a % of Modifications</td><td> Total Expected Losses</td></tr><tr><td> December 31, 2012</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$1,383.3</td><td>$-317.1</td><td>$1,066.2</td><td>$-89.7</td><td>$976.5</td><td>8%</td><td>29%</td></tr><tr><td>Home equity</td><td>382.6</td><td>-159.2</td><td>223.4</td><td>-81.7</td><td>141.7</td><td>37%</td><td>63%</td></tr><tr><td>Total</td><td>$1,765.9</td><td>$-476.3</td><td>$1,289.6</td><td>$-171.4</td><td>$1,118.2</td><td>13%</td><td>37%</td></tr><tr><td> December 31, 2011</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$1,209.4</td><td>$-236.4</td><td>$973.0</td><td>$-101.2</td><td>$871.8</td><td>10%</td><td>28%</td></tr><tr><td>Home equity</td><td>490.4</td><td>-44.5</td><td>445.9</td><td>-218.9</td><td>227.0</td><td>49%</td><td>55%</td></tr><tr><td>Total</td><td>$1,699.8</td><td>$-280.9</td><td>$1,418.9</td><td>$-320.1</td><td>$1,098.8</td><td>23%</td><td>35%</td></tr></table>

Question: What will One- to four-family be like in 2013 if it develops with the same increasing rate as current?
Answer: 3355.51
Reasoning program: add(1383.3,-317.1), add(#0,1066.2), add(#1,-89.7), add(#2,976.5), add(1209.4,-236.4), add(#4,973), add(#5,-101.2), add(#6,871.8), subtract(#3,#7), add(1209.4,-236.4), add(#9,973), add(#10,-101.2), add(#11,871.8), divide(#8,#12), add(const_1,#13), add(1383.3,-317.1), add(#15,1066.2), add(#16,-89.7), add(#17,976.5), multiply(#14,#18)