bevaya/FinQA huggingface dataset:
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: .

Table: 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 minimum grant date fair value per share in the table?
Answer: 72.81
Calculation: table_min(grant date fair value per share, none)
underlying physical transaction occurs . we have not qualified commodity derivative instruments used in our osm or rm&t segments for hedge accounting . as a result , we recognize in net income all changes in the fair value of derivative instruments used in those operations . open commodity derivative positions as of december 31 , 2008 and sensitivity analysis at december 31 , 2008 , our e&p segment held open derivative contracts to mitigate the price risk on natural gas held in storage or purchased to be marketed with our own natural gas production in amounts that were in line with normal levels of activity . at december 31 , 2008 , we had no significant open derivative contracts related to our future sales of liquid hydrocarbons and natural gas and therefore remained substantially exposed to market prices of these commodities . the osm segment holds crude oil options which were purchased by western for a three year period ( january 2007 to december 2009 ) . the premiums for the purchased put options had been partially offset through the sale of call options for the same three-year period , resulting in a net premium liability . payment of the net premium liability is deferred until the settlement of the option contracts . as of december 31 , 2008 , the following put and call options were outstanding: .

Table: option expiration date 2009 option contract volumes ( barrels per day ) : put options purchased 20000 call options sold 15000 average exercise price ( dollars per barrel ) : put options $ 50.50 call options $ 90.50

in the first quarter of 2009 , we sold derivative instruments at an average exercise price of $ 50.50 which effectively offset the open put options for the remainder of 2009 . at december 31 , 2008 , the number of open derivative contracts held by our rm&t segment was lower than in previous periods . starting in the second quarter of 2008 , we decreased our use of derivatives to mitigate crude oil price risk between the time that domestic spot crude oil purchases are priced and when they are actually refined into salable petroleum products . instead , we are addressing this price risk through other means , including changes in contractual terms and crude oil acquisition practices . additionally , in previous periods , certain contracts in our rm&t segment for the purchase or sale of commodities were not qualified or designated as normal purchase or normal sales under generally accepted accounting principles and therefore were accounted for as derivative instruments . during the second quarter of 2008 , as we decreased our use of derivatives , we began to designate such contracts for the normal purchase and normal sale exclusion. .

Question: using the above listed average exercise price , what were the value of the put options purchased?
Answer: $ 1010000.00
Calculation: multiply(20000, 50.50)
stock performance graph : the graph below shows the cumulative total shareholder return assuming the investment of $ 100 , on december 31 , 2013 , and the reinvestment of dividends thereafter , if any , in the company 2019s common stock versus the standard and poor 2019s s&p 500 retail index ( 201cs&p 500 retail index 201d ) and the standard and poor 2019s s&p 500 index ( 201cs&p 500 201d ) . .

Table: company/index december 31 , 2013 december 31 , 2014 december 31 , 2015 december 31 , 2016 december 31 , 2017 december 31 , 2018 o 2019reilly automotive inc . $ 100 $ 150 $ 197 $ 216 $ 187 $ 268 s&p 500 retail index 100 110 137 143 184 208 s&p 500 $ 100 $ 111 $ 111 $ 121 $ 145 $ 136

.

Question: what is the roi of an investment in o 2019reilly automotive inc . from 2013 to 2017?
Answer: 87%
Calculation: divide(subtract(187, 100), 100)
entergy arkansas , inc . management's financial discussion and analysis results of operations net income 2004 compared to 2003 net income increased $ 16.2 million due to lower other operation and maintenance expenses , a lower effective income tax rate for 2004 compared to 2003 , and lower interest charges . the increase was partially offset by lower net revenue . 2003 compared to 2002 net income decreased $ 9.6 million due to lower net revenue , higher depreciation and amortization expenses , and a higher effective income tax rate for 2003 compared to 2002 . the decrease was substantially offset by lower other operation and maintenance expenses , higher other income , and lower interest charges . net revenue 2004 compared to 2003 net revenue , which is entergy arkansas' measure of gross margin , consists of operating revenues net of : 1 ) fuel , fuel-related , and purchased power expenses and 2 ) other regulatory credits . following is an analysis of the change in net revenue comparing 2004 to 2003. .

Table: ( in millions ) 2003 net revenue $ 998.7 deferred fuel cost revisions -16.9 ( 16.9 ) other -3.4 ( 3.4 ) 2004 net revenue $ 978.4

deferred fuel cost revisions includes the difference between the estimated deferred fuel expense and the actual calculation of recoverable fuel expense , which occurs on an annual basis . deferred fuel cost revisions decreased net revenue due to a revised estimate of fuel costs filed for recovery at entergy arkansas in the march 2004 energy cost recovery rider , which reduced net revenue by $ 11.5 million . the remainder of the variance is due to the 2002 energy cost recovery true-up , made in the first quarter of 2003 , which increased net revenue in 2003 . gross operating revenues , fuel and purchased power expenses , and other regulatory credits gross operating revenues increased primarily due to : 2022 an increase of $ 20.7 million in fuel cost recovery revenues due to an increase in the energy cost recovery rider effective april 2004 ( fuel cost recovery revenues are discussed in note 2 to the domestic utility companies and system energy financial statements ) ; 2022 an increase of $ 15.5 million in grand gulf revenues due to an increase in the grand gulf rider effective january 2004 ; 2022 an increase of $ 13.9 million in gross wholesale revenue primarily due to increased sales to affiliated systems ; 2022 an increase of $ 9.5 million due to volume/weather primarily resulting from increased usage during the unbilled sales period , partially offset by the effect of milder weather on billed sales in 2004. .

Question: what are the deferred fuel cost revisions as a percentage of the decrease in net revenue from 2003 to 2004?
Answer: 56.7%
Calculation: divide(11.5, subtract(998.7, 978.4))
item 2 . properties we employ a variety of assets in the management and operation of our rail business . our rail network covers 23 states in the western two-thirds of the u.s . our rail network includes 31838 route miles . we own 26009 miles and operate on the remainder pursuant to trackage rights or leases . the following table describes track miles at december 31 , 2013 and 2012 . 2013 2012 .

Table: 2013 2012 route 31838 31868 other main line 6766 6715 passing lines and turnouts 3167 3124 switching and classification yard lines 9090 9046 total miles 50861 50753

headquarters building we maintain our headquarters in omaha , nebraska . the facility has 1.2 million square feet of space for approximately 4000 employees and is subject to a financing arrangement . harriman dispatching center the harriman dispatching center ( hdc ) , located in omaha , nebraska , is our primary dispatching facility . it is linked to regional dispatching and locomotive management facilities at various locations along our .

Question: what is the percent of the owned and operated of the rail network route miles
Answer: 81.7%
Calculation: divide(26009, 31838)
performance graph the graph below compares the cumulative total shareholder return on pmi's common stock with the cumulative total return for the same period of pmi's peer group and the s&p 500 index . the graph assumes the investment of $ 100 as of december 31 , 2012 , in pmi common stock ( at prices quoted on the new york stock exchange ) and each of the indices as of the market close and reinvestment of dividends on a quarterly basis . date pmi pmi peer group ( 1 ) s&p 500 index .

Table: date pmi pmi peer group ( 1 ) s&p 500 index december 31 2012 $ 100.00 $ 100.00 $ 100.00 december 31 2013 $ 108.50 $ 122.80 $ 132.40 december 31 2014 $ 106.20 $ 132.50 $ 150.50 december 31 2015 $ 120.40 $ 143.50 $ 152.60 december 31 2016 $ 130.80 $ 145.60 $ 170.80 december 31 2017 $ 156.80 $ 172.70 $ 208.10

( 1 ) the pmi peer group presented in this graph is the same as that used in the prior year , except reynolds american inc . was removed following the completion of its acquisition by british american tobacco p.l.c . on july 25 , 2017 . the pmi peer group was established based on a review of four characteristics : global presence ; a focus on consumer products ; and net revenues and a market capitalization of a similar size to those of pmi . the review also considered the primary international tobacco companies . as a result of this review , the following companies constitute the pmi peer group : altria group , inc. , anheuser-busch inbev sa/nv , british american tobacco p.l.c. , the coca-cola company , colgate-palmolive co. , diageo plc , heineken n.v. , imperial brands plc , japan tobacco inc. , johnson & johnson , kimberly-clark corporation , the kraft-heinz company , mcdonald's corp. , mondel z international , inc. , nestl e9 s.a. , pepsico , inc. , the procter & gamble company , roche holding ag , and unilever nv and plc . note : figures are rounded to the nearest $ 0.10. .

Question: what was the percentage cumulative total shareholder return on pmi's common stock for the five years ended december 31 , 2017?
Answer: 56.80%
Calculation: divide(subtract(156.80, const_100), const_100)
table of contents stock performance graph * $ 100 invested on 11/17/11 in our stock or 10/31/11 in the relevant index , including reinvestment of dividends . fiscal year ending december 31 , 2015 . ( 1 ) delphi automotive plc ( 2 ) s&p 500 2013 standard & poor 2019s 500 total return index ( 3 ) automotive supplier peer group 2013 russell 3000 auto parts index , including american axle & manufacturing , borgwarner inc. , cooper tire & rubber company , dana holding corp. , delphi automotive plc , dorman products inc. , federal-mogul corp. , ford motor co. , fuel systems solutions inc. , general motors co. , gentex corp. , gentherm inc. , genuine parts co. , johnson controls inc. , lear corp. , lkq corp. , meritor inc. , standard motor products inc. , stoneridge inc. , superior industries international , tenneco inc. , tesla motors inc. , the goodyear tire & rubber co. , tower international inc. , visteon corp. , and wabco holdings inc . company index november 17 , december 31 , december 31 , december 31 , december 31 , december 31 .

Table: company index november 17 2011 december 31 2011 december 31 2012 december 31 2013 december 31 2014 december 31 2015 delphi automotive plc ( 1 ) $ 100.00 $ 100.98 $ 179.33 $ 285.81 $ 350.82 $ 418.67 s&p 500 ( 2 ) 100.00 100.80 116.93 154.80 175.99 178.43 automotive supplier peer group ( 3 ) 100.00 89.62 109.96 166.26 176.25 171.91

dividends the company has declared and paid cash dividends of $ 0.25 per ordinary share in each quarter of 2014 and 2015 . in addition , in january 2016 , the board of directors increased the annual dividend rate to $ 1.16 per ordinary share , and declared a regular quarterly cash dividend of $ 0.29 per ordinary share , payable on february 29 , 2016 to shareholders of record at the close of business on february 17 , 2016. .

Question: what is the difference in total return on delphi automotive plc and the automotive supplier peer group for the five year period ending december 31 2015?
Answer: 246.76%
Calculation: subtract(divide(subtract(418.67, const_100), const_100), divide(subtract(171.91, const_100), const_100))
stock price performance the following graph shows a comparison of the cumulative total return on our common stock , the standard & poor 2019s 500 index and the standard & poor 2019s retail index . the graph assumes that the value of an investment in our common stock and in each such index was $ 100 on january 3 , 2009 , and that any dividends have been reinvested . the comparison in the graph below is based solely on historical data and is not intended to forecast the possible future performance of our common stock . comparison of cumulative total return among advance auto parts , inc. , s&p 500 index and s&p retail index company/index january 3 , january 2 , january 1 , december 31 , december 29 , december 28 .

Table: company/index january 3 2009 january 2 2010 january 1 2011 december 31 2011 december 29 2012 december 28 2013 advance auto parts $ 100.00 $ 119.28 $ 195.80 $ 206.86 $ 213.14 $ 327.63 s&p 500 index 100.00 119.67 134.97 134.96 150.51 197.62 s&p retail index 100.00 141.28 174.70 179.79 219.77 321.02

.

Question: what is the total return for every dollar invested in s&p500 index in january 2009 and sold in january 2011?
Answer: 0.35
Calculation: multiply(divide(subtract(134.97, const_100), const_100), const_1)
in 2017 , the company granted 440076 shares of restricted class a common stock and 7568 shares of restricted stock units . restricted common stock and restricted stock units generally have a vesting period of two to four years . the fair value related to these grants was $ 58.7 million , which is recognized as compensation expense on an accelerated basis over the vesting period . dividends are accrued on restricted class a common stock and restricted stock units and are paid once the restricted stock vests . in 2017 , the company also granted 203298 performance shares . the fair value related to these grants was $ 25.3 million , which is recognized as compensation expense on an accelerated and straight-lined basis over the vesting period . the vesting of these shares is contingent on meeting stated performance or market conditions . the following table summarizes restricted stock , restricted stock units , and performance shares activity for 2017 : number of shares weighted average grant date fair value .

Table: number of shares weightedaveragegrant datefair value outstanding at december 31 2016 1820578 $ 98 granted 650942 129 vested -510590 ( 510590 ) 87 cancelled -401699 ( 401699 ) 95 outstanding at december 31 2017 1559231 116

the total fair value of restricted stock , restricted stock units , and performance shares that vested during 2017 , 2016 and 2015 was $ 66.0 million , $ 59.8 million and $ 43.3 million , respectively . under the espp , eligible employees may acquire shares of class a common stock using after-tax payroll deductions made during consecutive offering periods of approximately six months in duration . shares are purchased at the end of each offering period at a price of 90% ( 90 % ) of the closing price of the class a common stock as reported on the nasdaq global select market . compensation expense is recognized on the dates of purchase for the discount from the closing price . in 2017 , 2016 and 2015 , a total of 19936 , 19858 and 19756 shares , respectively , of class a common stock were issued to participating employees . these shares are subject to a six-month holding period . annual expense of $ 0.3 million for the purchase discount was recognized in 2017 , and $ 0.2 million was recognized in both 2016 and 2015 . non-executive directors receive an annual award of class a common stock with a value equal to $ 100000 . non-executive directors may also elect to receive some or all of the cash portion of their annual stipend , up to $ 60000 , in shares of stock based on the closing price at the date of distribution . as a result , 19736 shares , 26439 shares and 25853 shares of class a common stock were issued to non-executive directors during 2017 , 2016 and 2015 , respectively . these shares are not subject to any vesting restrictions . expense of $ 2.5 million , $ 2.4 million and $ 2.5 million related to these stock-based payments was recognized for the years ended december 31 , 2017 , 2016 and 2015 , respectively. .

Question: what was the sum of the shares purchase discount from 2015 to 2017 in millions
Answer: 0.7
Calculation: add(add(0.3, 0.2), 0.2)
3 . discontinued operations during the second quarter of 2012 , the board of directors authorized the sale of our homecare business , which had previously been reported as part of the merchant gases operating segment . this business has been accounted for as a discontinued operation . in the third quarter of 2012 , we sold the majority of our homecare business to the linde group for sale proceeds of 20ac590 million ( $ 777 ) and recognized a gain of $ 207.4 ( $ 150.3 after-tax , or $ .70 per share ) . the sale proceeds included 20ac110 million ( $ 144 ) that was contingent on the outcome of certain retender arrangements . these proceeds were reflected in payables and accrued liabilities on our consolidated balance sheet as of 30 september 2013 . based on the outcome of the retenders , we were contractually required to return proceeds to the linde group . in the fourth quarter of 2014 , we made a payment to settle this liability and recognized a gain of $ 1.5 . during the third quarter of 2012 , an impairment charge of $ 33.5 ( $ 29.5 after-tax , or $ .14 per share ) was recorded to write down the remaining business , which was primarily in the united kingdom and ireland , to its estimated net realizable value . in the fourth quarter of 2013 , an additional charge of $ 18.7 ( $ 13.6 after-tax , or $ .06 per share ) was recorded to update our estimate of the net realizable value . in the first quarter of 2014 , we sold the remaining portion of the homecare business for a36.1 million ( $ 9.8 ) and recorded a gain on sale of $ 2.4 . we entered into an operations guarantee related to the obligations under certain homecare contracts assigned in connection with the transaction . refer to note 16 , commitments and contingencies , for additional information . the results of discontinued operations are summarized below: .

Table: 2014 2013 2012 sales $ 8.5 $ 52.3 $ 258.0 income before taxes $ .7 $ 3.8 $ 68.1 income tax provision 2014 .2 20.8 income from operations of discontinued operations .7 3.6 47.3 gain ( loss ) on sale of business and impairment/write-down net of tax 3.9 -13.6 ( 13.6 ) 120.8 income ( loss ) from discontinued operations net of tax $ 4.6 $ -10.0 ( 10.0 ) $ 168.1

the assets and liabilities classified as discontinued operations for the homecare business at 30 september 2013 consisted of $ 2.5 in trade receivables , net , and $ 2.4 in payables and accrued liabilities . as of 30 september 2014 , no assets or liabilities were classified as discontinued operations. .

Question: what was the decrease observed in the sales during 2013 and 2014?
Answer: 83.74%
Calculation: divide(subtract(8.5, 52.3), 52.3)
Explanation: it is the percentual variation observed , which is calculated using the initial value ( 52.3 ) and the final value ( 8.5 ) then turned into a percentage .