the hartford financial services group , inc . notes to consolidated financial statements ( continued ) 10 . sales inducements accounting policy the company currently offers enhanced crediting rates or bonus payments to contract holders on certain of its individual and group annuity products . the expense associated with offering a bonus is deferred and amortized over the life of the related contract in a pattern consistent with the amortization of deferred policy acquisition costs . amortization expense associated with expenses previously deferred is recorded over the remaining life of the contract . consistent with the unlock , the company unlocked the amortization of the sales inducement asset . see note 7 for more information concerning the unlock . changes in deferred sales inducement activity were as follows for the years ended december 31: .

Table:
 | 2011 | 2010 | 2009
balance beginning of year | $ 459 | $ 438 | $ 553
sales inducements deferred | 20 | 31 | 59
amortization charged to income | -17 ( 17 ) | -8 ( 8 ) | -105 ( 105 )
amortization 2014 unlock | -28 ( 28 ) | -2 ( 2 ) | -69 ( 69 )
balance end of year | $ 434 | $ 459 | $ 438
11 .
reserves for future policy benefits and unpaid losses and loss adjustment expenses life insurance products accounting policy liabilities for future policy benefits are calculated by the net level premium method using interest , withdrawal and mortality assumptions appropriate at the time the policies were issued .
the methods used in determining the liability for unpaid losses and future policy benefits are standard actuarial methods recognized by the american academy of actuaries .
for the tabular reserves , discount rates are based on the company 2019s earned investment yield and the morbidity/mortality tables used are standard industry tables modified to reflect the company 2019s actual experience when appropriate .
in particular , for the company 2019s group disability known claim reserves , the morbidity table for the early durations of claim is based exclusively on the company 2019s experience , incorporating factors such as gender , elimination period and diagnosis .
these reserves are computed such that they are expected to meet the company 2019s future policy obligations .
future policy benefits are computed at amounts that , with additions from estimated premiums to be received and with interest on such reserves compounded annually at certain assumed rates , are expected to be sufficient to meet the company 2019s policy obligations at their maturities or in the event of an insured 2019s death .
changes in or deviations from the assumptions used for mortality , morbidity , expected future premiums and interest can significantly affect the company 2019s reserve levels and related future operations and , as such , provisions for adverse deviation are built into the long-tailed liability assumptions .
liabilities for the company 2019s group life and disability contracts , as well as its individual term life insurance policies , include amounts for unpaid losses and future policy benefits .
liabilities for unpaid losses include estimates of amounts to fully settle known reported claims , as well as claims related to insured events that the company estimates have been incurred but have not yet been reported .
these reserve estimates are based on known facts and interpretations of circumstances , and consideration of various internal factors including the hartford 2019s experience with similar cases , historical trends involving claim payment patterns , loss payments , pending levels of unpaid claims , loss control programs and product mix .
in addition , the reserve estimates are influenced by consideration of various external factors including court decisions , economic conditions and public attitudes .
the effects of inflation are implicitly considered in the reserving process. .

Question: what was the average sales inducements deferred from 2009 to 2011 in millions
Answer: 36.7
Calculation: add(20, 31), add(59, #0), divide(#1, const_3)