during 2012 , the company granted selected employees an aggregate of 139 thousand rsus with internal performance measures and , separately , certain market thresholds . these awards vested in january 2015 . the terms of the grants specified that to the extent certain performance goals , comprised of internal measures and , separately , market thresholds were achieved , the rsus would vest ; if performance goals were surpassed , up to 175% ( 175 % ) of the target awards would be distributed ; and if performance goals were not met , the awards would be forfeited . in january 2015 , an additional 93 thousand rsus were granted and distributed because performance thresholds were exceeded . in 2015 , 2014 and 2013 , the company granted rsus , both with and without performance conditions , to certain employees under the 2007 plan . the rsus without performance conditions vest ratably over the three- year service period beginning january 1 of the year of the grant and the rsus with performance conditions vest ratably over the three-year performance period beginning january 1 of the year of the grant ( the 201cperformance period 201d ) . distribution of the performance shares is contingent upon the achievement of internal performance measures and , separately , certain market thresholds over the performance period . during 2015 , 2014 and 2013 , the company granted rsus to non-employee directors under the 2007 plan . the rsus vested on the date of grant ; however , distribution of the shares will be made within 30 days of the earlier of : ( i ) 15 months after grant date , subject to any deferral election by the director ; or ( ii ) the participant 2019s separation from service . because these rsus vested on the grant date , the total grant date fair value was recorded in operation and maintenance expense included in the expense table above on the grant date . rsus generally vest over periods ranging from one to three years . rsus granted with service-only conditions and those with internal performance measures are valued at the market value of the closing price of the company 2019s common stock on the date of grant . rsus granted with market conditions 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 presents the weighted-average assumptions used in the monte carlo simulation and the weighted-average grant date fair values of rsus granted for the years ended december 31: .

 | 2015 | 2014 | 2013
----------|----------|----------|----------
expected volatility | 14.93% ( 14.93 % ) | 17.78% ( 17.78 % ) | 19.37% ( 19.37 % )
risk-free interest rate | 1.07% ( 1.07 % ) | 0.75% ( 0.75 % ) | 0.40% ( 0.40 % )
expected life ( years ) | 3.0 | 3.0 | 3.0
grant date fair value per share | $ 62.10 | $ 45.45 | $ 40.13

the grant date fair value of restricted stock awards that vest ratably and have market and/or performance and service conditions are amortized through expense over the requisite service period using the graded-vesting method . rsus that have no performance conditions are amortized through expense over the requisite service period using the straight-line method and are included in operations expense in the accompanying consolidated statements of operations . as of december 31 , 2015 , $ 4 of total unrecognized compensation cost related to the nonvested restricted stock units is expected to be recognized over the weighted-average remaining life of 1.4 years . the total grant date fair value of rsus vested was $ 12 , $ 11 and $ 9 for the years ended december 31 , 2015 , 2014 and 2013. .

Question: by what percentage did grant date fair value per share increase from 2013 to 2015?
Program: subtract(62.10, 40.13), divide(#0, 40.13)
Answer: 0.54747