blackrock n 96 n notes in april 2009 , the company acquired $ 2 million of finite- lived management contracts with a five-year estimated useful life associated with the acquisition of the r3 capital partners funds . in december 2009 , in conjunction with the bgi trans- action , the company acquired $ 163 million of finite- lived management contracts with a weighted-average estimated useful life of approximately 10 years . estimated amortization expense for finite-lived intangible assets for each of the five succeeding years is as follows : ( dollar amounts in millions ) .

$ 160: 2011: 157
2012: 156
2013: 155
2014: 149

indefinite-lived acquired management contracts on september 29 , 2006 , in conjunction with the mlim transaction , the company acquired indefinite-lived man- agement contracts valued at $ 4477 million consisting of $ 4271 million for all retail mutual funds and $ 206 million for alternative investment products . on october 1 , 2007 , in conjunction with the quellos transaction , the company acquired $ 631 million in indefinite-lived management contracts associated with alternative investment products . on october 1 , 2007 , the company purchased the remain- ing 20% ( 20 % ) of an investment manager of a fund of hedge funds . in conjunction with this transaction , the company recorded $ 8 million in additional indefinite-lived management contracts associated with alternative investment products . on december 1 , 2009 , in conjunction with the bgi transaction , the company acquired $ 9785 million in indefinite-lived management contracts valued consisting primarily for exchange traded funds and common and collective trusts . indefinite-lived acquired trade names/trademarks on december 1 , 2009 , in conjunction with the bgi transaction , the company acquired trade names/ trademarks primarily related to ishares valued at $ 1402.5 million . the fair value was determined using a royalty rate based primarily on normalized marketing and promotion expenditures to develop and support the brands globally . 13 . borrowings short-term borrowings 2007 facility in august 2007 , the company entered into a five-year $ 2.5 billion unsecured revolving credit facility ( the 201c2007 facility 201d ) , which permits the company to request an additional $ 500 million of borrowing capacity , subject to lender credit approval , up to a maximum of $ 3.0 billion . the 2007 facility requires the company not to exceed a maximum leverage ratio ( ratio of net debt to earnings before interest , taxes , depreciation and amortiza- tion , where net debt equals total debt less domestic unrestricted cash ) of 3 to 1 , which was satisfied with a ratio of less than 1 to 1 at december 31 , 2009 . the 2007 facility provides back-up liquidity , funds ongoing working capital for general corporate purposes and funds various investment opportunities . at december 31 , 2009 , the company had $ 200 million outstanding under the 2007 facility with an interest rate of 0.44% ( 0.44 % ) and a maturity date during february 2010 . during february 2010 , the company rolled over $ 100 million in borrowings with an interest rate of 0.43% ( 0.43 % ) and a maturity date in may 2010 . lehman commercial paper inc . has a $ 140 million participation under the 2007 facility ; however blackrock does not expect that lehman commercial paper inc . will honor its commitment to fund additional amounts . bank of america , a related party , has a $ 140 million participation under the 2007 facility . in december 2007 , in order to support two enhanced cash funds that blackrock manages , blackrock elected to procure two letters of credit under the existing 2007 facility in an aggregate amount of $ 100 million . in decem- ber 2008 , the letters of credit were terminated . commercial paper program on october 14 , 2009 , blackrock established a com- mercial paper program ( the 201ccp program 201d ) under which the company may issue unsecured commercial paper notes ( the 201ccp notes 201d ) on a private placement basis up to a maximum aggregate amount outstanding at any time of $ 3 billion . the proceeds of the commercial paper issuances were used for the financing of a portion of the bgi transaction . subsidiaries of bank of america and barclays , as well as other third parties , act as dealers under the cp program . the cp program is supported by the 2007 facility . the company began issuance of cp notes under the cp program on november 4 , 2009 . as of december 31 , 2009 , blackrock had approximately $ 2 billion of out- standing cp notes with a weighted average interest rate of 0.20% ( 0.20 % ) and a weighted average maturity of 23 days . since december 31 , 2009 , the company repaid approxi- mately $ 1.4 billion of cp notes with proceeds from the long-term notes issued in december 2009 . as of march 5 , 2010 , blackrock had $ 596 million of outstanding cp notes with a weighted average interest rate of 0.18% ( 0.18 % ) and a weighted average maturity of 38 days . japan commitment-line in june 2008 , blackrock japan co. , ltd. , a wholly owned subsidiary of the company , entered into a five billion japanese yen commitment-line agreement with a bank- ing institution ( the 201cjapan commitment-line 201d ) . the term of the japan commitment-line was one year and interest accrued at the applicable japanese short-term prime rate . in june 2009 , blackrock japan co. , ltd . renewed the japan commitment-line for a term of one year . the japan commitment-line is intended to provide liquid- ity and flexibility for operating requirements in japan . at december 31 , 2009 , the company had no borrowings outstanding on the japan commitment-line . convertible debentures in february 2005 , the company issued $ 250 million aggregate principal amount of convertible debentures ( the 201cdebentures 201d ) , due in 2035 and bearing interest at a rate of 2.625% ( 2.625 % ) per annum . interest is payable semi- annually in arrears on february 15 and august 15 of each year , and commenced august 15 , 2005 . prior to february 15 , 2009 , the debentures could have been convertible at the option of the holder at a decem- ber 31 , 2008 conversion rate of 9.9639 shares of common stock per one dollar principal amount of debentures under certain circumstances . the debentures would have been convertible into cash and , in some situations as described below , additional shares of the company 2019s common stock , if during the five business day period after any five consecutive trading day period the trading price per debenture for each day of such period is less than 103% ( 103 % ) of the product of the last reported sales price of blackrock 2019s common stock and the conversion rate of the debentures on each such day or upon the occurrence of certain other corporate events , such as a distribution to the holders of blackrock common stock of certain rights , assets or debt securities , if the company becomes party to a merger , consolidation or transfer of all or substantially all of its assets or a change of control of the company . on february 15 , 2009 , the debentures became convertible into cash at any time prior to maturity at the option of the holder and , in some situations as described below , additional shares of the company 2019s common stock at the current conversion rate . at the time the debentures are tendered for conver- sion , for each one dollar principal amount of debentures converted , a holder shall be entitled to receive cash and shares of blackrock common stock , if any , the aggregate value of which ( the 201cconversion value 201d ) will be deter- mined by multiplying the applicable conversion rate by the average of the daily volume weighted average price of blackrock common stock for each of the ten consecutive trading days beginning on the second trading day imme- diately following the day the debentures are tendered for conversion ( the 201cten-day weighted average price 201d ) . the company will deliver the conversion value to holders as follows : ( 1 ) an amount in cash ( the 201cprincipal return 201d ) equal to the lesser of ( a ) the aggregate conversion value of the debentures to be converted and ( b ) the aggregate principal amount of the debentures to be converted , and ( 2 ) if the aggregate conversion value of the debentures to be converted is greater than the principal return , an amount in shares ( the 201cnet shares 201d ) , determined as set forth below , equal to such aggregate conversion value less the principal return ( the 201cnet share amount 201d ) . the number of net shares to be paid will be determined by dividing the net share amount by the ten-day weighted average price . in lieu of delivering fractional shares , the company will deliver cash based on the ten-day weighted average price . the conversion rate for the debentures is subject to adjustments upon the occurrence of certain corporate events , such as a change of control of the company , 193253ti_txt.indd 96 4/2/10 1:18 pm .

Questions:
what was the change in estimated amortization expense for finite-lived intangible assets from 2010 to 2011?
and how much does this change represent in relation to that estimated amortization expense in 2010, in percentage?

Answers:
3
1.91%