Stock Price Performance The following graph shows a comparison of the cumulative total return on our common stock, the Standard & Poor’s 500 Index and the Standard & Poor’s Retail Index.
The graph assumes that the value of an investment in our common stock and in each such index was $100 on December 31, 2011, 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
## Table 0 ##
Principal Financial Group, Inc.  Notes to Consolidated Financial Statements — (continued) December 31, 2012 4.
Investments — (continued) or whether it is more likely than not we will be required to sell the security before the recovery of its amortized cost which, in some cases, may extend to maturity and (6) for equity securities, our ability and intent to hold the security for a period of time that allows for the recovery in value.
To the extent we determine that a security is deemed to be other than temporarily impaired, an impairment loss is recognized.
Impairment losses on equity securities are recognized in net income and are measured as the difference between amortized cost and fair value.
The way in which impairment losses on fixed maturities are recognized in the financial statements is dependent on the facts and circumstances related to the specific security.
If we intend to sell a security or it is more likely than not that we would be required to sell a security before the recovery of its amortized cost, we recognize an other-than-temporary impairment in net income for the difference between amortized cost and fair value.
If we do not expect to recover the amortized cost basis, we do not plan to sell the security and if it is not more likely than not that we would be required to sell a security before the recovery of its amortized cost, the recognition of the other-than-temporary impairment is bifurcated.
We recognize the credit loss portion in net income and the noncredit loss portion in OCI (‘‘bifurcated OTTI’’).
Total other-than-temporary impairment losses, net of recoveries from the sale of previously impaired securities, were as follows:
## Table 1 ##
(1) Represents the net impact of (a) gains resulting from reclassification of noncredit impairment losses for fixed maturities with bifurcated OTTI from net realized capital gains (losses) to OCI and (b) losses resulting from reclassification of previously recognized noncredit impairment losses from OCI to net realized capital gains (losses) for fixed maturities with bifurcated OTTI that had additional credit losses or fixed maturities that previously had bifurcated OTTI that have now been sold or are intended to be sold.
We estimate the amount of the credit loss component of a fixed maturity security impairment as the difference between amortized cost and the present value of the expected cash flows of the security.
The present value is determined using the best estimate cash flows discounted at the effective interest rate implicit to the security at the date of purchase or the current yield to accrete an asset-backed or floating rate security.
The methodology and assumptions for establishing the best estimate cash flows vary depending on the type of security.
The ABS cash flow estimates are based on security specific facts and circumstances that may include collateral characteristics, expectations of delinquency and default rates, loss severity and prepayment speeds and structural support, including subordination and guarantees.
The corporate security cash flow estimates are derived from scenario-based outcomes of expected corporate restructurings or liquidations using bond specific facts and circumstances including timing, security interests and loss severity.
The following table provides a rollforward of accumulated credit losses for fixed maturities with bifurcated credit losses.
The purpose of the table is to provide detail of (1) additions to the bifurcated credit loss amounts recognized in net realized capital gains (losses) during the period and (2) decrements for previously recognized bifurcated credit losses
The following tables present the carrying amount and the gross unrealized losses, including other-than-temporary impairment losses reported in OCI, on below investment grade fixed maturities available-for-sale by aging category as of the periods indicated.
## Table 2 ##
December 31, 2011
## Table 3 ##
The following tables present the carrying amount and the gross unrealized losses, including other-than-temporary impairment losses reported in OCI, on fixed maturities available-for-sale where the estimated fair value had declined and remained below amortized cost by 20% or more as of the periods indicated.
## Table 4 ##
December 31, 2011
## Table 5 ##
continues to decline.
The following table represents our residential mortgage valuation allowance for the periods indicated.

<table><tr><td>Company/Index</td><td>December 31, 2011</td><td>December 29, 2012</td><td>December 28, 2013</td><td>January 3, 2015</td><td>January 2, 2016</td><td>December 31, 2016</td></tr><tr><td>Advance Auto Parts</td><td>$100.00</td><td>$102.87</td><td>$158.46</td><td>$228.88</td><td>$217.49</td><td>$244.64</td></tr><tr><td>S&P 500 Index</td><td>100.00</td><td>114.07</td><td>152.98</td><td>174.56</td><td>177.01</td><td>198.18</td></tr><tr><td>S&P Retail Index</td><td>100.00</td><td>122.23</td><td>178.55</td><td>196.06</td><td>245.31</td><td>256.69</td></tr></table>
<table><tr><td></td><td colspan="3">For the year ended December 31,</td></tr><tr><td></td><td>2012</td><td>2011</td><td>2010</td></tr><tr><td></td><td colspan="3">(in millions)</td></tr><tr><td>Fixed maturities, available-for-sale</td><td>$-135.5</td><td>$-143.8</td><td>$-300.0</td></tr><tr><td>Equity securities, available-for-sale</td><td>-0.4</td><td>-3.8</td><td>3.7</td></tr><tr><td>Total other-than-temporary impairment losses, net of recoveries from the sale of previously impaired securities</td><td>-135.9</td><td>-147.6</td><td>-296.3</td></tr><tr><td>Other-than-temporary impairment losses on fixed maturities, available-for-sale reclassified to (from) OCI (1)</td><td>17.3</td><td>-49.7</td><td>56.1</td></tr><tr><td>Net impairment losses on available-for-sale securities</td><td>$-118.6</td><td>$-197.3</td><td>$-240.2</td></tr></table>
<table><tr><td> </td><td colspan="6"> December 31, 2012</td></tr><tr><td> </td><td colspan="2"> Public</td><td colspan="2"> Private</td><td colspan="2"> Total</td></tr><tr><td> </td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td></tr><tr><td> </td><td colspan="6"><i>(in millions)</i> </td></tr><tr><td>Three months or less</td><td>$32.9</td><td>$0.4</td><td>$47.6</td><td>$0.8</td><td>$80.5</td><td>$1.2</td></tr><tr><td>Greater than three to six months</td><td>7.5</td><td>0.1</td><td>76.1</td><td>1.6</td><td>83.6</td><td>1.7</td></tr><tr><td>Greater than six to nine months</td><td>11.0</td><td>1.2</td><td>17.1</td><td>1.4</td><td>28.1</td><td>2.6</td></tr><tr><td>Greater than nine to twelve months</td><td>—</td><td>—</td><td>26.7</td><td>1.6</td><td>26.7</td><td>1.6</td></tr><tr><td>Greater than twelve to twenty-four months</td><td>17.7</td><td>5.1</td><td>33.5</td><td>2.8</td><td>51.2</td><td>7.9</td></tr><tr><td>Greater than twenty-four to thirty-six months</td><td>6.8</td><td>0.3</td><td>12.4</td><td>8.4</td><td>19.2</td><td>8.7</td></tr><tr><td>Greater than thirty-six months</td><td>556.2</td><td>251.7</td><td>400.4</td><td>208.7</td><td>956.6</td><td>460.4</td></tr><tr><td>Total fixed maturities, available-for-sale</td><td>$632.1</td><td>$258.8</td><td>$613.8</td><td>$225.3</td><td>$1,245.9</td><td>$484.1</td></tr></table>
<table><tr><td> </td><td colspan="6"> December 31, 2011</td></tr><tr><td> </td><td colspan="2"> Public</td><td colspan="2"> Private</td><td colspan="2"> Total</td></tr><tr><td> </td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td></tr><tr><td> </td><td colspan="6"><i>(in millions)</i> </td></tr><tr><td>Three months or less</td><td>$123.4</td><td>$3.6</td><td>$72.3</td><td>$6.3</td><td>$195.7</td><td>$9.9</td></tr><tr><td>Greater than three to six months</td><td>71.3</td><td>8.1</td><td>165.4</td><td>12.4</td><td>236.7</td><td>20.5</td></tr><tr><td>Greater than six to nine months</td><td>74.3</td><td>11.5</td><td>30.8</td><td>1.9</td><td>105.1</td><td>13.4</td></tr><tr><td>Greater than nine to twelve months</td><td>16.9</td><td>9.5</td><td>29.5</td><td>1.6</td><td>46.4</td><td>11.1</td></tr><tr><td>Greater than twelve to twenty-four months</td><td>42.2</td><td>11.8</td><td>18.9</td><td>4.4</td><td>61.1</td><td>16.2</td></tr><tr><td>Greater than twenty-four to thirty-six months</td><td>17.9</td><td>3.6</td><td>1.3</td><td>0.3</td><td>19.2</td><td>3.9</td></tr><tr><td>Greater than thirty-six months</td><td>693.0</td><td>317.0</td><td>483.5</td><td>269.5</td><td>1,176.5</td><td>586.5</td></tr><tr><td>Total fixed maturities, available-for-sale</td><td>$1,039.0</td><td>$365.1</td><td>$801.7</td><td>$296.4</td><td>$1,840.7</td><td>$661.5</td></tr></table>
<table><tr><td> </td><td colspan="6"> December 31, 2012</td></tr><tr><td> </td><td colspan="2"> Problem, potential problem, and restructured</td><td colspan="2"> All other fixed maturity securities</td><td colspan="2"> Total</td></tr><tr><td> </td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td></tr><tr><td> </td><td colspan="6"><i>(in millions)</i> </td></tr><tr><td>Three months or less</td><td>$—</td><td>$—</td><td>$7.7</td><td>$2.4</td><td>$7.7</td><td>$2.4</td></tr><tr><td>Greater than three to six months</td><td>—</td><td>—</td><td>1.1</td><td>0.7</td><td>1.1</td><td>0.7</td></tr><tr><td>Greater than six to nine months</td><td>—</td><td>—</td><td>0.4</td><td>0.3</td><td>0.4</td><td>0.3</td></tr><tr><td>Greater than nine to twelve months</td><td>3.0</td><td>2.5</td><td>17.6</td><td>5.7</td><td>20.6</td><td>8.2</td></tr><tr><td>Greater than twelve months</td><td>194.1</td><td>269.0</td><td>457.0</td><td>379.5</td><td>651.1</td><td>648.5</td></tr><tr><td>Total fixed maturities, available-for-sale</td><td>$197.1</td><td>$271.5</td><td>$483.8</td><td>$388.6</td><td>$680.9</td><td>$660.1</td></tr></table>
<table><tr><td> </td><td colspan="6"> December 31, 2011</td></tr><tr><td> </td><td colspan="2"> Problem, potential problem, and restructured</td><td colspan="2"> All other fixed maturity securities</td><td colspan="2"> Total</td></tr><tr><td> </td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td><td> Carrying amount</td><td> Gross unrealized losses</td></tr><tr><td> </td><td colspan="6"><i>(in millions)</i> </td></tr><tr><td>Three months or less</td><td>$42.4</td><td>$14.0</td><td>$231.7</td><td>$75.5</td><td>$274.1</td><td>$89.5</td></tr><tr><td>Greater than three to six months</td><td>74.4</td><td>32.2</td><td>587.3</td><td>263.9</td><td>661.7</td><td>296.1</td></tr><tr><td>Greater than six to nine months</td><td>18.2</td><td>11.6</td><td>77.6</td><td>47.2</td><td>95.8</td><td>58.8</td></tr><tr><td>Greater than nine to twelve months</td><td>3.5</td><td>1.6</td><td>6.9</td><td>8.5</td><td>10.4</td><td>10.1</td></tr><tr><td>Greater than twelve months</td><td>171.9</td><td>262.4</td><td>452.8</td><td>387.6</td><td>624.7</td><td>650.0</td></tr><tr><td>Total fixed maturities, available-for-sale</td><td>$310.4</td><td>$321.8</td><td>$1,356.3</td><td>$782.7</td><td>$1,666.7</td><td>$1,104.5</td></tr></table>

Question: from january 3 2015 to december 31 , how much greater was the return for s&p retail index than for advance auto parts ? ( in a percentage )