wandb/finqa-data-processed huggingface dataset:
awards . awards granted under the 2006 plan prior to december 5 , 2008 became fully vested and nonforfeitable upon the closing of the merger . awards may be granted under the 2006 plan , as amended and restated , after december 5 , 2008 only to employees and consultants of allied waste industries , inc . and its subsidiaries who were not employed by republic services , inc . prior to such date . at december 31 , 2009 , there were approximately 15.3 million shares of common stock reserved for future grants under the 2006 plan . stock options we use a lattice binomial option-pricing model to value our stock option grants . we recognize compensation expense on a straight-line basis over the requisite service period for each separately vesting portion of the award , or to the employee 2019s retirement eligible date , if earlier . expected volatility is based on the weighted average of the most recent one-year volatility and a historical rolling average volatility of our stock over the expected life of the option . the risk-free interest rate is based on federal reserve rates in effect for bonds with maturity dates equal to the expected term of the option . we use historical data to estimate future option exercises , forfeitures and expected life of the options . when appropriate , separate groups of employees that have similar historical exercise behavior are considered separately for valuation purposes . the weighted- average estimated fair values of stock options granted during the years ended december 31 , 2009 , 2008 and 2007 were $ 3.79 , $ 4.36 and $ 6.49 per option , respectively , which were calculated using the following weighted-average assumptions: .

 | 2009 | 2008 | 2007
expected volatility | 28.7% ( 28.7 % ) | 27.3% ( 27.3 % ) | 23.5% ( 23.5 % )
risk-free interest rate | 1.4% ( 1.4 % ) | 1.7% ( 1.7 % ) | 4.8% ( 4.8 % )
dividend yield | 3.1% ( 3.1 % ) | 2.9% ( 2.9 % ) | 1.5% ( 1.5 % )
expected life ( in years ) | 4.2 | 4.2 | 4.0
contractual life ( in years ) | 7 | 7 | 7
expected forfeiture rate | 3.0% ( 3.0 % ) | 3.0% ( 3.0 % ) | 5.0% ( 5.0 % )

republic services , inc . and subsidiaries notes to consolidated financial statements , continued .

Question: what was the percentage decline in the weighted- average estimated fair values of stock options from 2007 to 2008
Program: subtract(4.36, 6.49), divide(#0, 6.49)
Answer: -0.3282
management 2019s discussion and analysis net interest income 2012 versus 2011 . net interest income on the consolidated statements of earnings was $ 3.88 billion for 2012 , 25% ( 25 % ) lower than 2011 . the decrease compared with 2011 was primarily due to lower average yields on financial instruments owned , at fair value , and collateralized agreements . 2011 versus 2010 . net interest income on the consolidated statements of earnings was $ 5.19 billion for 2011 , 6% ( 6 % ) lower than 2010 . the decrease compared with 2010 was primarily due to higher interest expense related to our long-term borrowings and higher dividend expense related to financial instruments sold , but not yet purchased , partially offset by an increase in interest income from higher yielding collateralized agreements . operating expenses our operating expenses are primarily influenced by compensation , headcount and levels of business activity . compensation and benefits includes salaries , discretionary compensation , amortization of equity awards and other items such as benefits . discretionary compensation is significantly impacted by , among other factors , the level of net revenues , overall financial performance , prevailing labor markets , business mix , the structure of our share-based compensation programs and the external environment . in the context of more difficult economic and financial conditions , the firm launched an initiative during the second quarter of 2011 to identify areas where we can operate more efficiently and reduce our operating expenses . during 2012 and 2011 , we announced targeted annual run rate compensation and non-compensation reductions of approximately $ 1.9 billion in aggregate . the table below presents our operating expenses and total staff. .

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• $ in millions, year ended december 2012, year ended december 2011, year ended december 2010
• compensation and benefits, $ 12944, $ 12223, $ 15376
• u.k . bank payrolltax, 2014, 2014, 465
• brokerage clearing exchange anddistribution fees, 2208, 2463, 2281
• market development, 509, 640, 530
• communications and technology, 782, 828, 758
• depreciation and amortization, 1738, 1865, 1889
• occupancy, 875, 1030, 1086
• professional fees, 867, 992, 927
• insurance reserves1, 598, 529, 398
• other expenses, 2435, 2072, 2559
• total non-compensation expenses, 10012, 10419, 10428
• total operating expenses, $ 22956, $ 22642, $ 26269
• total staff atperiod-end2, 32400, 33300, 35700
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total staff at period-end 2 32400 33300 35700 1 . related revenues are included in 201cmarket making 201d on the consolidated statements of earnings . 2 . includes employees , consultants and temporary staff . 48 goldman sachs 2012 annual report .

Question: what is the percentage change in the number of staff in 2012?
Program: subtract(32400, 33300), divide(#0, 33300)
Answer: -0.02703
part ii item 5 . market for registrant 2019s common equity , related stockholder matters and issuer purchases of equity securities . price range our common stock trades on the nasdaq global select market under the symbol 201cmktx 201d . the range of closing price information for our common stock , as reported by nasdaq , was as follows : on february 20 , 2015 , the last reported closing price of our common stock on the nasdaq global select market was $ 78.97 . holders there were 28 holders of record of our common stock as of february 20 , 2015 . dividend policy during 2014 , 2013 and 2012 , we paid quarterly cash dividends of $ 0.16 per share , $ 0.13 per share and $ 0.11 per share , respectively . on december 27 , 2012 , we paid a special cash dividend of $ 1.30 per share . in january 2015 , our board of directors approved a quarterly cash dividend of $ 0.20 per share payable on february 26 , 2015 to stockholders of record as of the close of business on february 12 , 2015 . any future declaration and payment of dividends will be at the sole discretion of our board of directors . the board of directors may take into account such matters as general business conditions , our financial results , capital requirements , contractual obligations , legal and regulatory restrictions on the payment of dividends to our stockholders or by our subsidiaries to their respective parent entities , and such other factors as the board of directors may deem relevant . recent sales of unregistered securities securities authorized for issuance under equity compensation plans please see the section entitled 201cequity compensation plan information 201d in item 12. .

• 2014:, high, low
• january 1 2014 to march 31 2014, $ 67.16, $ 57.99
• april 1 2014 to june 30 2014, $ 59.65, $ 50.30
• july 1 2014 to september 30 2014, $ 62.05, $ 47.50
• october 1 2014 to december 31 2014, $ 73.25, $ 61.15
• 2013:, high, low
• january 1 2013 to march 31 2013, $ 41.85, $ 34.79
• april 1 2013 to june 30 2013, $ 47.80, $ 37.09
• july 1 2013 to september 30 2013, $ 61.47, $ 47.59
• october 1 2013 to december 31 2013, $ 70.60, $ 61.34

.

Question: based on the above listed holders of common stock , what was the market value of mktx common stock on february 20 , 2015?
Program: multiply(78.97, 28)
Answer: 2211.16
there were no share repurchases in 2016 . stock performance graph the graph below matches fidelity national information services , inc.'s cumulative 5-year total shareholder return on common stock with the cumulative total returns of the s&p 500 index and the s&p supercap data processing & outsourced services index.aa the graph tracks the performance of a $ 100 investment in our common stock and in each index ( with the reinvestment of all dividends ) from december 31 , 2011 to december 31 , 2016. .

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 | 12/11 | 12/12 | 12/13 | 12/14 | 12/15 | 12/16
fidelity national information services inc . | 100.00 | 134.12 | 210.97 | 248.68 | 246.21 | 311.81
s&p 500 | 100.00 | 116.00 | 153.58 | 174.60 | 177.01 | 198.18
s&p supercap data processing & outsourced services | 100.00 | 126.06 | 194.91 | 218.05 | 247.68 | 267.14
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the stock price performance included in this graph is not necessarily indicative of future stock price performance . item 6 . selected financial ss the selected financial data set forth below constitutes historical financial data of fis and should be read in conjunction with "item 7 , management 2019s discussion and analysis of financial condition and results of operations , " and "item 8 , financial statements and supplementary data , " included elsewhere in this report. .

Question: what was the percentage cumulative 5-year total shareholder return on common stock fidelity national information services , inc . for the period ending 12/16?
Program: subtract(311.81, const_100), divide(#0, const_100)
Answer: 2.1181
dividends for a summary of the cash dividends paid on citi 2019s outstanding common stock during 2009 and 2010 , see note 33 to the consolidated financial statements . for so long as the u.s . government holds any citigroup trust preferred securities acquired pursuant to the exchange offers consummated in 2009 , citigroup has agreed not to pay a quarterly common stock dividend exceeding $ 0.01 per quarter , subject to certain customary exceptions . further , any dividend on citi 2019s outstanding common stock would need to be made in compliance with citi 2019s obligations to any remaining outstanding citigroup preferred stock . performance graph comparison of five-year cumulative total return the following graph and table compare the cumulative total return on citigroup 2019s common stock with the cumulative total return of the s&p 500 index and the s&p financial index over the five-year period extending through december 31 , 2010 . the graph and table assume that $ 100 was invested on december 31 , 2005 in citigroup 2019s common stock , the s&p 500 index and the s&p financial index and that all dividends were reinvested . citigroup s&p 500 index s&p financial index comparison of five-year cumulative total return for the years ended 2006 2007 2008 2009 2010 .

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december 31,	citigroup	s&p 500 index	s&p financial index
2006	119.55	115.79	119.19
2007	66.10	122.15	96.98
2008	15.88	76.96	43.34
2009	7.85	97.33	50.80
2010	11.22	111.99	56.96
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.

Question: what was the difference in percentage cumulative total return between cititgroup's common stock and the s&p 500 index for the five year period ending 2010?
Program: subtract(11.22, 100), divide(#0, 100), subtract(56.96, 100), divide(#2, 100), subtract(#1, #2)
Answer: 42.1522
future minimum lease payments for all non-cancelable operating leases at may 31 , 2013 were as follows : fiscal years ending may 31: .

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2014 | $ 11057
----------|----------
2015 | 8985
2016 | 7378
2017 | 6700
2018 | 6164
thereafter | 16812
total future minimum lease payments | $ 57096
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we are party to a number of claims and lawsuits incidental to our business . in our opinion , the liabilities , if any , which may ultimately result from the outcome of such matters , individually or in the aggregate , are not expected to have a material adverse impact on our financial position , liquidity or results of operations . operating taxes we define operating taxes as taxes that are unrelated to income taxes , such as sales , property , value-add and other business taxes . during the course of operations , we must interpret the meaning of various operating tax matters in the united states and in the foreign jurisdictions in which we do business . taxing authorities in those various jurisdictions may arrive at different interpretations of applicable tax laws and regulations as they relate to such operating tax matters , which could result in the payment of additional taxes in those jurisdictions . as of may 31 , 2013 and 2012 , we did not have liabilities for contingencies related to operating tax items based on management 2019s best estimate given our history with similar matters and interpretations of current laws and regulations . bin/ica agreements we have entered into sponsorship or depository and processing agreements with certain banks . these agreements allow us to use the banks 2019 identification numbers , referred to as bank identification number ( 201cbin 201d ) for visa transactions and interbank card association ( 201cica 201d ) number for mastercard transactions , to clear credit card transactions through visa and mastercard . certain of such agreements contain financial covenants , and we were in compliance with all such covenants as of may 31 , 2013 . our canadian visa sponsorship , which was originally obtained through a canadian financial institution , expired in march 2011 . we have filed an application with the office of the superintendent of financial institutions canada ( 201cosfi 201d ) for the formation of a wholly owned loan company in canada which would serve as our financial institution sponsor . on december 12 , 2012 , the loan company received a restricted order to commence and carry on business from osfi which will enable the loan company to become a direct visa member at such time that global payments concludes the appropriate bin transfer process with visa . in march 2011 , we obtained temporary direct participation in the visa canada system , while the loan company application was pending . we anticipate that the bin transfer process with visa will be completed by september 30 , 2013. .

Question: what percentage of lease payments will be paid out in the first year?
Program: divide(11057, 57096)
Answer: 0.19366
the hartford financial services group , inc . notes to consolidated financial statements ( continued ) 5 . investments and derivative instruments ( continued ) collateral arrangements the company enters into various collateral arrangements in connection with its derivative instruments , which require both the pledging and accepting of collateral . as of december 31 , 2011 and 2010 , collateral pledged having a fair value of $ 1.1 billion and $ 790 , respectively , was included in fixed maturities , afs , in the consolidated balance sheets . from time to time , the company enters into secured borrowing arrangements as a means to increase net investment income . the company received cash collateral of $ 33 as of december 31 , 2011 and 2010 . the following table presents the classification and carrying amount of loaned securities and derivative instruments collateral pledged. .

	december 31 2011	december 31 2010
fixed maturities afs	$ 1086	$ 823
short-term investments	199	2014
total collateral pledged	$ 1285	$ 823

as of december 31 , 2011 and 2010 , the company had accepted collateral with a fair value of $ 2.6 billion and $ 1.5 billion , respectively , of which $ 2.0 billion and $ 1.1 billion , respectively , was cash collateral which was invested and recorded in the consolidated balance sheets in fixed maturities and short-term investments with corresponding amounts recorded in other assets and other liabilities . the company is only permitted by contract to sell or repledge the noncash collateral in the event of a default by the counterparty . as of december 31 , 2011 and 2010 , noncash collateral accepted was held in separate custodial accounts and was not included in the company 2019s consolidated balance sheets . securities on deposit with states the company is required by law to deposit securities with government agencies in states where it conducts business . as of december 31 , 2011 and 2010 , the fair value of securities on deposit was approximately $ 1.6 billion and $ 1.4 billion , respectively. .

Question: what is the change in value of fixed maturities afs from 2010 to 2011 , ( in billions ) ?
Program: subtract(1086, 823)
Answer: 263.0
notes to consolidated financial statements at december 31 , 2007 , future minimum rental payments required under operating leases for continuing operations that have initial or remaining noncancelable lease terms in excess of one year , net of sublease rental income , most of which pertain to real estate leases , are as follows : ( millions ) .

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2008, $ 317
2009, 275
2010, 236
2011, 214
2012, 191
later years, 597
total minimum payments required, $ 1830
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aon corporation .

Question: assuming that actual net rent expense will be the same as presented in the table , what would be the growth rate in the net rent expense from 2008 to 2009?
Program: subtract(275, 317), divide(#0, 317)
Answer: -0.13249
12feb201521095992 performance graph the following graph compares the performance of our common stock with that of the s&p 500 index and the s&p 500 healthcare equipment index . the cumulative total return listed below assumes an initial investment of $ 100 on december 31 , 2009 and reinvestment of dividends . comparison of 5 year cumulative total return rs $ 200 2009 2010 2011 201420132012 edwards lifesciences corporation s&p 500 s&p 500 healthcare equipment december 31 .

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total cumulative return	2010	2011	2012	2013	2014
edwards lifesciences	$ 186.16	$ 162.81	$ 207.65	$ 151.43	$ 293.33
s&p 500	115.06	117.49	136.30	180.44	205.14
s&p 500 healthcare equipment index	96.84	102.07	120.66	153.85	194.33
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.

Question: what was the difference in percentage 5 year cumulative total return between edwards lifesciences corporation and the s&p 500?
Program: subtract(293.33, 100), divide(#0, 100), subtract(205.14, 100), divide(#2, 100), subtract(#1, #3)
Answer: 0.8819
coupons and expected maturity values of individually selected bonds . the yield curve was developed for a universe containing the majority of u.s.-issued aa-graded corporate bonds , all of which were non callable ( or callable with make-whole provisions ) . historically , for each plan , the discount rate was developed as the level equivalent rate that would produce the same present value as that using spot rates aligned with the projected benefit payments . the expected long-term rate of return on plan assets is based on historical and projected rates of return , prior to administrative and investment management fees , for current and planned asset classes in the plans 2019 investment portfolios . assumed projected rates of return for each of the plans 2019 projected asset classes were selected after analyzing historical experience and future expectations of the returns and volatility of the various asset classes . based on the target asset allocation for each asset class , the overall expected rate of return for the portfolio was developed , adjusted for historical and expected experience of active portfolio management results compared to the benchmark returns and for the effect of expenses paid from plan assets . the company 2019s pension expense increases as the expected return on assets decreases . assumed health care cost trend rates have a significant effect on the amounts reported for the other postretirement benefit plans . the health care cost trend rate is based on historical rates and expected market conditions . a one-percentage-point change in assumed health care cost trend rates would have the following effects : percentage- increase percentage- decrease .

 | one-percentage-pointincrease | one-percentage-pointdecrease
effect on total of service and interest cost components | $ 7367 | $ -5974 ( 5974 )
effect on other postretirement benefit obligation | $ 72238 | $ -60261 ( 60261 )

.

Question: what is the one-percentage-point increase of effect on total of service and interest cost components as a percentage of the effect on other postretirement benefit obligation?
Program: divide(7367, 72238)
Answer: 0.10198
condition are valued using a monte carlo model . expected volatility is based on historical volatilities of traded common stock of the company and comparative companies using daily stock prices over the past three years . the expected term is three years and the risk-free interest rate is based on the three-year u.s . treasury rate in effect as of the measurement date . the following table provides the weighted average assumptions used in the monte carlo simulation and the weighted average grant date fair values of psus granted for the years ended december 31: .

 | 2018 | 2017 | 2016
----------|----------|----------|----------
expected volatility | 17.23% ( 17.23 % ) | 17.40% ( 17.40 % ) | 15.90% ( 15.90 % )
risk-free interest rate | 2.36% ( 2.36 % ) | 1.53% ( 1.53 % ) | 0.91% ( 0.91 % )
expected life ( years ) | 3.0 | 3.0 | 3.0
grant date fair value per share | $ 73.62 | $ 72.81 | $ 77.16

the grant date fair value of psus that vest ratably and have market and/or performance conditions are amortized through expense over the requisite service period using the graded-vesting method . if dividends are paid with respect to shares of the company 2019s common stock before the rsus and psus are distributed , the company credits a liability for the value of the dividends that would have been paid if the rsus and psus were shares of company common stock . when the rsus and psus are distributed , the company pays the participant a lump sum cash payment equal to the value of the dividend equivalents accrued . the company accrued dividend equivalents totaling $ 1 million , less than $ 1 million and $ 1 million to accumulated deficit in the accompanying consolidated statements of changes in shareholders 2019 equity for the years ended december 31 , 2018 , 2017 and 2016 , respectively . employee stock purchase plan the company maintains a nonqualified employee stock purchase plan ( the 201cespp 201d ) through which employee participants may use payroll deductions to acquire company common stock at a discount . prior to february 5 , 2019 , the purchase price of common stock acquired under the espp was the lesser of 90% ( 90 % ) of the fair market value of the common stock at either the beginning or the end of a three -month purchase period . on july 27 , 2018 , the espp was amended , effective february 5 , 2019 , to permit employee participants to acquire company common stock at 85% ( 85 % ) of the fair market value of the common stock at the end of the purchase period . as of december 31 , 2018 , there were 1.9 million shares of common stock reserved for issuance under the espp . the espp is considered compensatory . during the years ended december 31 , 2018 , 2017 and 2016 , the company issued 95 thousand , 93 thousand and 93 thousand shares , respectively , under the espp. .

Question: what was the purchase price of common stock acquired under the espp in 2018?
Program: multiply(90%, 73.62)
Answer: 66.258