Read the following texts and table with financial data from an S&P 500 earnings report carefully.Based on the question-answer history (if provided), answer the last question. The answer may require mathematical calculation based on the data provided.


citigroup 2019s repurchases are primarily from government sponsored entities . the specific representations and warranties made by the company depend on the nature of the transaction and the requirements of the buyer . market conditions and credit-ratings agency requirements may also affect representations and warranties and the other provisions the company may agree to in loan sales . in the event of a breach of the representations and warranties , the company may be required to either repurchase the mortgage loans ( generally at unpaid principal balance plus accrued interest ) with the identified defects or indemnify ( 201cmake-whole 201d ) the investor or insurer . the company has recorded a repurchase reserve that is included in other liabilities in the consolidated balance sheet . in the case of a repurchase , the company will bear any subsequent credit loss on the mortgage loans . the company 2019s representations and warranties are generally not subject to stated limits in amount or time of coverage . however , contractual liability arises only when the representations and warranties are breached and generally only when a loss results from the breach . in the case of a repurchase , the loan is typically considered a credit- impaired loan and accounted for under sop 03-3 , 201caccounting for certain loans and debt securities , acquired in a transfer 201d ( now incorporated into asc 310-30 , receivables 2014loans and debt securities acquired with deteriorated credit quality ) . these repurchases have not had a material impact on nonperforming loan statistics , because credit-impaired purchased sop 03-3 loans are not included in nonaccrual loans . the company estimates its exposure to losses from its obligation to repurchase previously sold loans based on the probability of repurchase or make-whole and an estimated loss given repurchase or make-whole . this estimate is calculated separately by sales vintage ( i.e. , the year the loans were sold ) based on a combination of historical trends and forecasted repurchases and losses considering the : ( 1 ) trends in requests by investors for loan documentation packages to be reviewed ; ( 2 ) trends in recent repurchases and make-wholes ; ( 3 ) historical percentage of claims made as a percentage of loan documentation package requests ; ( 4 ) success rate in appealing claims ; ( 5 ) inventory of unresolved claims ; and ( 6 ) estimated loss given repurchase or make-whole , including the loss of principal , accrued interest , and foreclosure costs . the company does not change its estimation methodology by counterparty , but the historical experience and trends are considered when evaluating the overall reserve . the request for loan documentation packages is an early indicator of a potential claim . during 2009 , loan documentation package requests and the level of outstanding claims increased . in addition , our loss severity estimates increased during 2009 due to the impact of macroeconomic factors and recent experience . these factors contributed to a $ 493 million change in estimate for this reserve in 2009 . as indicated above , the repurchase reserve is calculated by sales vintage . the majority of the repurchases in 2009 were from the 2006 and 2007 sales vintages , which also represent the vintages with the largest loss- given-repurchase . an insignificant percentage of 2009 repurchases were from vintages prior to 2006 , and this is expected to decrease , because those vintages are later in the credit cycle . although early in the credit cycle , the company has experienced improved repurchase and loss-given-repurchase statistics from the 2008 and 2009 vintages . in the case of a repurchase of a credit-impaired sop 03-3 loan ( now incorporated into asc 310-30 ) , the difference between the loan 2019s fair value and unpaid principal balance at the time of the repurchase is recorded as a utilization of the repurchase reserve . payments to make the investor whole are also treated as utilizations and charged directly against the reserve . the provision for estimated probable losses arising from loan sales is recorded as an adjustment to the gain on sale , which is included in other revenue in the consolidated statement of income . a liability for representations and warranties is estimated when the company sells loans and is updated quarterly . any subsequent adjustment to the provision is recorded in other revenue in the consolidated statement of income . the activity in the repurchase reserve for the years ended december 31 , 2009 and 2008 is as follows: . <table class='wikitable'><tr><td>1</td><td>in millions of dollars</td><td>2009</td><td>2008</td></tr><tr><td>2</td><td>balance beginning of the year</td><td>$ 75</td><td>$ 2</td></tr><tr><td>3</td><td>additions for new sales</td><td>33</td><td>23</td></tr><tr><td>4</td><td>change in estimate</td><td>493</td><td>59</td></tr><tr><td>5</td><td>utilizations</td><td>-119 ( 119 )</td><td>-9 ( 9 )</td></tr><tr><td>6</td><td>balance end of the year</td><td>$ 482</td><td>$ 75</td></tr></table> goodwill goodwill represents an acquired company 2019s acquisition cost over the fair value of net tangible and intangible assets acquired . goodwill is subject to annual impairment tests , whereby goodwill is allocated to the company 2019s reporting units and an impairment is deemed to exist if the carrying value of a reporting unit exceeds its estimated fair value . furthermore , on any business dispositions , goodwill is allocated to the business disposed of based on the ratio of the fair value of the business disposed of to the fair value of the reporting unit . intangible assets intangible assets 2014including core deposit intangibles , present value of future profits , purchased credit card relationships , other customer relationships , and other intangible assets , but excluding msrs 2014are amortized over their estimated useful lives . intangible assets deemed to have indefinite useful lives , primarily certain asset management contracts and trade names , are not amortized and are subject to annual impairment tests . an impairment exists if the carrying value of the indefinite-lived intangible asset exceeds its fair value . for other intangible assets subject to amortization , an impairment is recognized if the carrying amount is not recoverable and exceeds the fair value of the intangible asset . other assets and other liabilities other assets include , among other items , loans held-for-sale , deferred tax assets , equity-method investments , interest and fees receivable , premises and equipment , end-user derivatives in a net receivable position , repossessed assets , and other receivables. .
Question: what is the end year balance of the repurchase reserve in 2009?
Answer: 482.0
Question: what about in 2008?
Answer: 75.0
Question: what is the net change in these years?
Answer: 407.0
Question: what is the end year balance of the repurchase reserve in 2008?
Answer: 75.0
Question: what percentage change does this represent?

5.42667