Troubled Debt Restructurings—Loan Modifications The following table shows TDR loan modifications by delinquency category at December 31, 2013 and 2012 (dollars in millions)
## Table 0 ##
Included in allowance for loan losses was a specific valuation allowance of $124.4 million and $171.4 million that was established for modifications at December 31, 2013 and 2012, 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 at December 31, 2013 and 2012 (dollars in millions)
## Table 1 ##
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 selling costs.
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 decreased slightly from 37% at December 31, 2012 to 35% at December 31, 2013
## Table 2 ##
The fluctuation in enterprise interest-earning assets is driven primarily by changes in enterprise interest-bearing liabilities, specifically deposits and customer payables.
Average enterprise interest-earning assets increased 1% to $41.4 billion for the year ended December 31, 2014, compared to 2013.
The increase in average enterprise interest-earning assets was primarily a result of increases in average held-to-maturity securities and margin receivables, which were partially offset by a decrease in average loans compared to 2013.
Average enterprise interest-bearing liabilities increased 1% to $38.4 billion for the year ended December 31, 2014, compared to 2013.
The increase in average enterprise interest-bearing liabilities was primarily due to increases in average customer payables and securities loaned and other, partially offset by decreases in average deposits and securities sold under agreements to repurchase.
As part of our strategy to strengthen our overall financial and franchise position, we focused on improving our capital ratios by reducing risk and deleveraging the balance sheet.
Our deleveraging strategy included transferring customer deposits to third party institutions.
At December 31, 2014, $15.5 billion of our customers' assets were held at third party institutions, including third party banks and money market funds.
Approximately 72% of these off-balance sheet assets resulted from our deleveraging efforts.
We estimate the impact of our deleveraging efforts on net operating interest income to be approximately 125 basis points based on the estimated current re-investment rates on these assets, less approximately 28 basis points of cost associated with holding these assets on our balance sheet, primarily FDIC insurance premiums.
We consider our deleveraging initiatives to be complete and maintain the ability to bring the majority of these customer assets back on the balance sheet with appropriate notification to the third party institutions and customer consent, as appropriate.
Enterprise net interest spread increased by 22 basis points to 2.55% for the year ended December 31, 2014 compared to 2013.
Enterprise net interest spread is driven by changes in average balances and average interest rates earned or paid on those balances.
During the year ended December 31, 2014, the increase in enterprise net interest spread was driven primarily by the growth in margin receivables and increased revenue earned from our securities lending activities, along with lower wholesale borrowing costs due to a decrease in securities sold under agreements to repurchase.
These increases were partially offset by the continued run-off in loans and lower rates earned on margin receivables.
Enterprise net interest spread may further fluctuate based on the size and mix of the balance sheet, as well as the impact from the level of interest rates.
Commissions Commissions revenue increased 9% to $456 million for the year ended December 31, 2014 compared to 2013.
The main factors that affect commissions are DARTs, average commission per trade and the number of trading days.
DART volume increased 12% to 168,474 for the year ended December 31, 2014 compared to 2013.
Option-related DARTs as a percentage of total DARTs represented 22% of trading volume for the year ended December 31, 2014, compared to 24% in 2013.
Average commission per trade decreased 3% to $10.81 for the year ended December 31, 2014 compared to 2013.
Average commission per trade is impacted by customer mix and the different commission rates on various trade types (e. g.  equities, options, fixed income, stock plan, exchange-traded funds, mutual funds, forex and cross border).
Accordingly, changes in the mix of trade types will impact average commission per trade.
Notes to Consolidated Financial Statements Guarantees of Subsidiaries.
Group Inc.  fully and unconditionally guarantees the securities issued by GS Finance Corp. , a wholly-owned finance subsidiary of the firm.
Group Inc.  has guaranteed the payment obligations of Goldman, Sachs & Co.  (GS&Co.
), GS Bank USA and Goldman Sachs Execution & Clearing, L. P.  (GSEC), subject to certain exceptions.
In November 2008, the firm contributed subsidiaries into GS Bank USA, and Group Inc.  agreed to guarantee the reimbursement of certain losses, including credit-related losses, relating to assets held by the contributed entities.
In connection with this guarantee, Group Inc.  also agreed to pledge to GS Bank USA certain collateral, including interests in subsidiaries and other illiquid assets.
In addition, Group Inc.  guarantees many of the obligations of its other consolidated subsidiaries on a transaction-bytransaction basis, as negotiated with counterparties.
Group Inc.  is unable to develop an estimate of the maximum payout under its subsidiary guarantees; however, because these guaranteed obligations are also obligations of consolidated subsidiaries, Group Inc. ’s liabilities as guarantor are not separately disclosed.
Note 19.
Shareholders’ Equity Common Equity Dividends declared per common share were $2.25 in 2014, $2.05 in 2013 and $1.77 in 2012.
On January 15, 2015, Group Inc.  declared a dividend of $0.60 per common share to be paid on March 30, 2015 to common shareholders of record on March 2, 2015.
The firm’s share repurchase program is intended to help maintain the appropriate level of common equity.
The share repurchase program is effected primarily through regular open-market purchases (which may include repurchase plans designed to comply with Rule 10b5-1), the amounts and timing of which are determined primarily by the firm’s current and projected capital position, but which may also be influenced by general market conditions and the prevailing price and trading volumes of the firm’s common stock.
Prior to repurchasing common stock, the firm must receive confirmation that the Federal Reserve Board does not object to such capital actions.
The table below presents the amount of common stock repurchased by the firm under the share repurchase program during 2014, 2013 and 2012.

Tables referenced above, in order (Table 0 first):
<table><tr><td></td><td> Modifications  Current</td><td> Modifications  30-89Days  Delinquent</td><td> Modifications  90-179Days  Delinquent</td><td> Modifications  180+Days  Delinquent</td><td> Total Recorded  Investmentin  Modifications</td></tr><tr><td> December 31, 2013</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$817.0</td><td>$91.9</td><td>$39.0</td><td>$88.3</td><td>$1,036.2</td></tr><tr><td>Home equity</td><td>161.8</td><td>13.4</td><td>4.4</td><td>8.7</td><td>188.3</td></tr><tr><td>Total</td><td>$978.8</td><td>$105.3</td><td>$43.4</td><td>$97.0</td><td>$1,224.5</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></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, 2013</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>One- to four-family</td><td>$1,353.9</td><td>$-317.7</td><td>$1,036.2</td><td>$-60.3</td><td>$976.0</td><td>6%</td><td>28%</td></tr><tr><td>Home equity</td><td>338.6</td><td>-150.3</td><td>188.3</td><td>-64.1</td><td>124.1</td><td>34%</td><td>63%</td></tr><tr><td>Total</td><td>$1,692.5</td><td>$-468.0</td><td>$1,224.5</td><td>$-124.4</td><td>$1,100.1</td><td>10%</td><td>35%</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></table>
<table><tr><td></td><td colspan="3">Year Ended December 31,</td></tr><tr><td></td><td>2015</td><td>2014</td><td>2013</td></tr><tr><td>Enterprise net interest:</td><td></td><td></td><td></td></tr><tr><td>Spread</td><td>2.64%</td><td>2.55%</td><td>2.33%</td></tr><tr><td>Margin (net yield on interest-earning assets)</td><td>2.66%</td><td>2.59%</td><td>2.37%</td></tr><tr><td>Ratio of enterprise interest-earning assets to enterprise interest-bearing liabilities</td><td>107.82%</td><td>107.95%</td><td>107.18%</td></tr><tr><td>Return on average:</td><td></td><td></td><td></td></tr><tr><td>Total assets</td><td>0.59%</td><td>0.64%</td><td>0.19%</td></tr><tr><td>Total shareholders’ equity</td><td>4.75%</td><td>5.69%</td><td>1.77%</td></tr><tr><td>Average total shareholders’ equity to average total assets</td><td>12.44%</td><td>11.26%</td><td>10.70%</td></tr></table>

Question: In the year with lowest amount of Total Recorded Investment in Modifications before Charge- offs, what's the increasing rate of Recorded Investment in Modifications before Charge- offs of Home equity?
Answer: -0.115
Reasoning program: subtract(338.6,382.6), divide(#0,382.6)