what is the estimated annualized return for the initial $ 100 investment in the s&p 500 aeindex?
Important information:
text_1: such information shall not be deemed to be 201cfiled . 201d five-year cumulative total return based upon an initial investment of $ 100 on december 31 , 2010 with dividends reinvested alcoa inc .
table_2: as of december 31 , the s&p 500 aeindex of 2010 is 100 ; the s&p 500 aeindex of 2011 is 102 ; the s&p 500 aeindex of 2012 is 118 ; the s&p 500 aeindex of 2013 is 157 ; the s&p 500 aeindex of 2014 is 178 ; the s&p 500 aeindex of 2015 is 181 ;
table_3: as of december 31, the s&p 500 aematerials index of 2010 is 100 ; the s&p 500 aematerials index of 2011 is 90 ; the s&p 500 aematerials index of 2012 is 104 ; the s&p 500 aematerials index of 2013 is 130 ; the s&p 500 aematerials index of 2014 is 139 ; the s&p 500 aematerials index of 2015 is 128 ;
Reasoning Steps:
Step: minus2-1(181, 100) = 81%
Step: divide2-2(const_1, const_5) = 0.2
Step: minus2-3(#1, const_1) = -0.8
Step: exp2-4(#0, #2) = 1.18
Step: minus2-5(#3, const_1) = 18%
Program:
subtract(181, 100), divide(const_1, const_5), subtract(#1, const_1), exp(#0, #2), subtract(#3, const_1)
Program (Nested):
subtract(exp(subtract(181, 100), subtract(divide(const_1, const_5), const_1)), const_1)

Please answer the following financial question based on the context provided. Make sure to give the answer in raw number, not in percentage and without any units. If the question asks for percentage the value should be less than 1
Context:
stock performance graph the following graph compares the most recent five-year performance of alcoa 2019s common stock with ( 1 ) the standard & poor 2019s 500 ae index and ( 2 ) the standard & poor 2019s 500 ae materials index , a group of 27 companies categorized by standard & poor 2019s as active in the 201cmaterials 201d market sector . such information shall not be deemed to be 201cfiled . 201d five-year cumulative total return based upon an initial investment of $ 100 on december 31 , 2010 with dividends reinvested alcoa inc . s&p 500 ae index s&p 500 ae materials index dec-'10 dec-'11 dec-'12 dec-'14 dec-'15dec-'13 .
Table
as of december 31,        | 2010  | 2011 | 2012 | 2013 | 2014  | 2015
alcoainc .                | $ 100 | $ 57 | $ 58 | $ 72 | $ 107 | $ 68
s&p 500 aeindex           | 100   | 102  | 118  | 157  | 178   | 181 
s&p 500 aematerials index | 100   | 90   | 104  | 130  | 139   | 128 
s&p 500 ae index 100 102 118 157 178 181 s&p 500 ae materials index 100 90 104 130 139 128 copyright a9 2016 standard & poor 2019s , a division of the mcgraw-hill companies inc . all rights reserved . source : research data group , inc . ( www.researchdatagroup.com/s&p.htm ) .
Question: 
what is the estimated annualized return for the initial $ 100 investment in the s&p 500 aeindex?
Important information:
text_1: such information shall not be deemed to be 201cfiled . 201d five-year cumulative total return based upon an initial investment of $ 100 on december 31 , 2010 with dividends reinvested alcoa inc .
table_2: as of december 31 , the s&p 500 aeindex of 2010 is 100 ; the s&p 500 aeindex of 2011 is 102 ; the s&p 500 aeindex of 2012 is 118 ; the s&p 500 aeindex of 2013 is 157 ; the s&p 500 aeindex of 2014 is 178 ; the s&p 500 aeindex of 2015 is 181 ;
table_3: as of december 31, the s&p 500 aematerials index of 2010 is 100 ; the s&p 500 aematerials index of 2011 is 90 ; the s&p 500 aematerials index of 2012 is 104 ; the s&p 500 aematerials index of 2013 is 130 ; the s&p 500 aematerials index of 2014 is 139 ; the s&p 500 aematerials index of 2015 is 128 ;
Reasoning Steps:
Step: minus2-1(181, 100) = 81%
Step: divide2-2(const_1, const_5) = 0.2
Step: minus2-3(#1, const_1) = -0.8
Step: exp2-4(#0, #2) = 1.18
Step: minus2-5(#3, const_1) = 18%
Program:
subtract(181, 100), divide(const_1, const_5), subtract(#1, const_1), exp(#0, #2), subtract(#3, const_1)
Program (Nested):
subtract(exp(subtract(181, 100), subtract(divide(const_1, const_5), const_1)), const_1)
