Metal Food and Household Products Packaging, Americas
## Table 0 ##
(a) Further details of these items are included in Note 5 to the consolidated financial statements within Item 8 of this report.
The metal food and household products packaging, Americas, segment consists of operations located in the U. S. , Canada and Argentina that manufacture and sell metal food, aerosol, paint and general line containers, as well as decorative specialty containers and aluminum slugs.
In July 2010, the company acquired Neuman Aluminum (Neuman) for approximately $62 million in cash.
Neuman is the leading North American manufacturer of aluminum slugs used to make extruded aerosol cans, beverage bottles, aluminum collapsible tubes and technical impact extrusions and is composed of two plants, one in the U. S.  and one in Canada, that employ approximately 180 people.
Segment sales in 2010 declined $22.8 million compared to 2009, largely the result of $88 million of lower commodity prices, partially offset by the sales associated with the Neuman plants.
Segment sales in 2009 increased $171.5 million over 2008 due to higher selling prices driven by higher raw material costs beginning in 2009, which were partially offset by an approximate $20 million decrease in sales volumes caused by the effects of the economic recession and Ball’s decision to not pursue low margin business.
Segment earnings in 2010 decreased $1.7 million compared to 2009 primarily due to $44 million of lower cost inventory carried into 2009 that did not occur in 2010, substantially offset by improved manufacturing and cost performance, favorable product sales mix and the addition of the Neuman plants.
Segment earnings in 2009 were $62.7 million higher than in 2008 due primarily to the increased sales prices mentioned above coupled with $44 million of lower cost inventory carried into 2009 and $22 million of improvements in manufacturing performance, partially offset by the lower sales volumes and a settlement gain of $7 million in 2008 not recurring in 2009.
Aerospace and Technologies
## Table 1 ##
(a) Further details of this item are included in Note 4 to the consolidated financial statements within Item 8 of this report.
The aerospace and technologies segment consists of the manufacture and sale of aerospace and other related products and the providing of services used primarily in the defense, civil space and commercial space industries.
Segment sales in 2010, as compared to the prior year, increased by $24.5 million primarily due to increased scope on existing programs and new program starts, including WorldView-3 and several large classified programs.
These increases were partially offset by the cancellation of the Orion program and the completion of several large programs, including Kepler and WorldView-2.
Segment sales in 2009 were 8 percent lower than in 2008, driven by the delivery of several large spacecraft during 2009.
NOTE 17 FINANCIAL DERIVATIVES We use derivative financial instruments (derivatives) primarily to help manage exposure to interest rate, market and credit risk and reduce the effects that changes in interest rates may have on net income, fair value of assets and liabilities, and cash flows.
We also enter into derivatives with customers to facilitate their risk management activities.
Derivatives represent contracts between parties that usually require little or no initial net investment and result in one party delivering cash or another type of asset to the other party based on a notional amount and an underlying as specified in the contract.
Derivative transactions are often measured in terms of notional amount, but this amount is generally not exchanged and it is not recorded on the balance sheet.
The notional amount is the basis to which the underlying is applied to determine required payments under the derivative contract.
The underlying is a referenced interest rate (commonly LIBOR), security price, credit spread or other index.
Residential and commercial real estate loan commitments associated with loans to be sold also qualify as derivative instruments.
The following table presents the notional amounts and gross fair values of all derivative assets and liabilities held by PNC: Table 127: Total Gross Derivatives
## Table 2 ##
(a) Included in Other assets on our Consolidated Balance Sheet.
(b) Included in Other liabilities on our Consolidated Balance Sheet.
All derivatives are carried on our Consolidated Balance Sheet at fair value.
Derivative balances are presented on the Consolidated Balance Sheet on a net basis taking into consideration the effects of legally enforceable master netting agreements and any related cash collateral exchanged with counterparties.
Further discussion regarding the rights of setoff associated with these legally enforceable master netting agreements is included in the Offsetting, Counterparty Credit Risk, and Contingent Features section below.
Our exposure related to risk participations where we sold protection is discussed in the Credit Derivatives section below.
Any nonperformance risk, including credit risk, is included in the determination of the estimated net fair value of the derivatives.
Further discussion on how derivatives are accounted for is included in Note 1 Accounting Policies.
DERIVATIVES DESIGNATED AS HEDGING INSTRUMENTS UNDER GAAP Certain derivatives used to manage interest rate risk as part of our asset and liability risk management activities are designated as accounting hedges under GAAP.
Derivatives hedging the risks associated with changes in the fair value of assets or liabilities are considered fair value hedges, derivatives hedging the variability of expected future cash flows are considered cash flow hedges, and derivatives hedging a net investment in a foreign subsidiary are considered net investment hedges.
Designating derivatives as accounting hedges allows for gains and losses on those derivatives, to the extent effective, to be recognized in the income statement in the same period the hedged items affect earnings.
Table 42: Consumer Real Estate Related Loan Modifications
## Table 3 ##
(a) Certain unpaid principal balance amounts at December 31, 2012 were updated during the fourth quarter of 2013 to include $151 million of deferred balances previously excluded.
Table 43: Consumer Real Estate Related Loan Modifications Re-Default by Vintage (a) (b)

Tables referenced above, in order (Table 0 first):
<table><tr><td>($ in millions)</td><td>2010</td><td>2009</td><td>2008</td></tr><tr><td>Net sales</td><td>$1,370.1</td><td>$1,392.9</td><td>$1,221.4</td></tr><tr><td>Segment earnings</td><td>$129.1</td><td>$130.8</td><td>$68.1</td></tr><tr><td>Business consolidation gains (costs)(a)</td><td>18.3</td><td>-2.6</td><td>1.6</td></tr><tr><td>Total segment earnings</td><td>$147.4</td><td>$128.2</td><td>$69.7</td></tr></table>
<table><tr><td>($ in millions)</td><td>2010</td><td>2009</td><td>2008</td></tr><tr><td>Net sales</td><td>$713.7</td><td>$689.2</td><td>$746.5</td></tr><tr><td>Segment earnings</td><td>$69.8</td><td>$61.4</td><td>$76.2</td></tr><tr><td>Gain on disposition(a)</td><td>–</td><td>–</td><td>7.1</td></tr><tr><td>Total segment earnings</td><td>$69.8</td><td>$61.4</td><td>$83.3</td></tr></table>
<table><tr><td></td><td>December 31, 2013</td><td>December 31, 2012</td></tr><tr><td>In millions</td><td>Notional/ContractAmount</td><td>AssetFairValue (a)</td><td>LiabilityFairValue (b)</td><td>Notional/ContractAmount</td><td>AssetFairValue (a)</td><td>LiabilityFairValue (b)</td></tr><tr><td>Derivatives designated as hedging instruments under GAAP</td><td>$36,197</td><td>$1,189</td><td>$364</td><td>$29,270</td><td>$1,872</td><td>$152</td></tr><tr><td>Derivatives not designated as hedging instruments under GAAP</td><td>345,059</td><td>3,604</td><td>3,570</td><td>337,086</td><td>6,696</td><td>6,458</td></tr><tr><td>Total gross derivatives</td><td>$381,256</td><td>$4,793</td><td>$3,934</td><td>$366,356</td><td>$8,568</td><td>$6,610</td></tr></table>
<table><tr><td></td><td colspan="2">December 31, 2013</td><td colspan="2">December 31, 2012</td></tr><tr><td>Dollars in millions</td><td>Number of Accounts</td><td>Unpaid Principal Balance</td><td>Number of Accounts</td><td>Unpaid Principal Balance</td></tr><tr><td> Home equity</td><td></td><td></td><td></td><td></td></tr><tr><td>Temporary Modifications </td><td>6,683</td><td>$539</td><td>9,187</td><td>$785</td></tr><tr><td>Permanent Modifications</td><td>11,717</td><td>889</td><td>7,457</td><td>535</td></tr><tr><td>Total home equity</td><td>18,400</td><td>1,428</td><td>16,644</td><td>1,320</td></tr><tr><td> Residential Mortgages </td><td></td><td></td><td></td><td></td></tr><tr><td>Permanent Modifications (a)</td><td>7,397</td><td>1,445</td><td>9,151</td><td>1,702</td></tr><tr><td> Non-Prime Mortgages</td><td></td><td></td><td></td><td></td></tr><tr><td>Permanent Modifications</td><td>4,400</td><td>621</td><td>4,449</td><td>629</td></tr><tr><td> Residential Construction</td><td></td><td></td><td></td><td></td></tr><tr><td>Permanent Modifications (a)</td><td>2,260</td><td>763</td><td>1,735</td><td>734</td></tr><tr><td>Total Consumer Real Estate Related Loan Modifications</td><td>32,457</td><td>$4,257</td><td>31,979</td><td>$4,385</td></tr></table>

Question: In the section with the most Temporary Modifications, what is the growth rate of Permanent Modifications for Number of Accounts ?
Answer: 0.57128
Reasoning program: subtract(11717,7457), divide(#0,7457)