<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>100600 - Disclosure - Fair Value of Above Market Acquired Time Charters</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><CurrencyCode /><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName /><CurrencySymbol /><contextRef><ContextID>fyp0d</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0001386716</EntityValue><PeriodDisplayName /><PeriodType>duration</PeriodType><PeriodStartDate>2013-01-01T00:00:00</PeriodStartDate><PeriodEndDate>2013-06-30T00:00:00</PeriodEndDate><Segments /><Scenarios /></contextRef><UPS /><CurrencyCode /><OriginalCurrencyCode /></MCU><CurrencySymbol /><Labels><Label Key="CalendarSupplement" Id="0" Label="6 Months Ended" /><Label Key="Calendar" Id="1" Label="Jun. 30, 2013" /></Labels></Column></Columns><Rows><Row FlagID="0"><Id>1</Id><IsAbstractGroupTitle>true</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>1</Level><ElementName>sblk_FairValueOfAboveBelowMarketAcquiredTimeChartersAbstract</ElementName><ElementPrefix>sblk_</ElementPrefix><IsBaseElement>false</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Fair Value Of Above Below Market Acquired Time Charters [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>sblk_FairValueOfAboveBelowMarketAcquiredTimeChartersAndGainLossOnTimeCharterAgreementTerminationTextBlock</ElementName><ElementPrefix>sblk_</ElementPrefix><IsBaseElement>false</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="fyp0d" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;6.&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;Fair value of Above Market Acquired Time Charters:&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;The amortization of fair value of above-market acquired time charters related to the vessels Star Big and Star Mega, which were acquired in 2011, amounted to $3,167 and $3,150 for the six month periods ended June 30, 2012 and 2013, respectively, and are included under "Voyage revenues" in the accompanying unaudited interim condensed consolidated statements of operations.&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align:justify;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;The estimated aggregate amortization expense of the above market acquired time charters until the end of their useful lives is analyzed as follows:&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align:justify;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-indent:0.0px;"&gt;&lt;/div&gt;
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    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:184px;height:15px;background-color:#ffffff"&gt;&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;Years&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:32px;background-color:#ffffff"&gt;&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;&amp;#160;&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:solid #000000 1.0px;width:24px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;&amp;#160;&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:solid #000000 1.0px;width:73px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;Amount&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;/tr&gt;
  &lt;tr&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:184px;height:15px;background-color:#ffffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;June 30, 2014&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:32px;background-color:#ffffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:24px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;$&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:73px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;6,352&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;/tr&gt;
  &lt;tr&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:184px;height:15px;background-color:#ccffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;June 30, 2015&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:32px;background-color:#ccffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:24px;background-color:#ccffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:73px;background-color:#ccffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;3,525&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;/tr&gt;
  &lt;tr&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:184px;height:15px;background-color:#ffffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;June 30, 2016&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:32px;background-color:#ffffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:solid #000000 1.0px;width:24px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:solid #000000 1.0px;width:73px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;1,303&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;/tr&gt;
  &lt;tr&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:184px;height:15px;background-color:#ccffff"&gt;&lt;div style="text-indent:13.3px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;Total&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
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    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:double #000000 3.0px;width:24px;background-color:#ccffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;$&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border-left:solid #000000 0.0px; border-top:solid #000000 0.0px; border-right:solid #000000 0.0px; border-bottom:double #000000 3.0px;width:73px;background-color:#ccffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;&lt;b&gt;11,180&lt;/b&gt;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;/tr&gt;
  &lt;tr&gt;
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    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:32px;background-color:#ffffff"&gt;&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:14.7px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:24px;background-color:#ffffff"&gt;&lt;div style="text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:14.7px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
    &lt;td valign="bottom" style=" border:solid #000000 0.0px;width:73px;background-color:#ffffff"&gt;&lt;div style="text-align:right;text-indent:0.0px;"&gt;&lt;font style="font-family:Times New Roman;font-size:14.7px;color:#000000; "&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;&lt;/td&gt;
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&lt;div&gt;&lt;font style="font-family:Times New Roman;font-size:13.3px;color:#000000; "&gt;__________________________________________________________________________________________&lt;/font&gt;&lt;/div&gt;</NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>The entire disclosure for the asset or liability arising from the market value of the time charter assumed from a vessel acquisition or redelivery upon a time charter agreement termination and the gain/loss arising from time charter agreement termination.</ElementDefenition><ElementReferences>No definition available.</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Fair Value of AboveMarket Acquired Time Charters</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>Fair Value of Above Market Acquired Time Charters</ReportName><MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel><SharesRoundingLevel>UnKnown</SharesRoundingLevel><PerShareRoundingLevel>UnKnown</PerShareRoundingLevel><ExchangeRateRoundingLevel>UnKnown</ExchangeRateRoundingLevel><HasCustomUnits>true</HasCustomUnits><IsEmbedReport>false</IsEmbedReport><IsMultiCurrency>false</IsMultiCurrency><ReportType>Sheet</ReportType><RoleURI>http://www.starbulk.com/20130630/role/FairValueOfAcquiredTimeCharters</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
