<?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>116 - Disclosure - Recent Accounting Pronouncements</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>eol_PE4055----1310-Q0005_STD_181_20130630_0</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0001070296</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>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>4</Level><ElementName>us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</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="eol_PE4055----1310-Q0005_STD_181_20130630_0" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;div&gt;
&lt;table style="BORDER-COLLAPSE: collapse" border="0" cellspacing="0" cellpadding="0" width="100%"&gt;
&lt;tr&gt;
&lt;td valign="top" width="4%" align="left"&gt;&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;&lt;b&gt;8.&lt;/b&gt;&lt;/font&gt;&lt;/td&gt;
&lt;td valign="top" align="left"&gt;&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;&lt;b&gt;Recent Accounting
Pronouncements&lt;/b&gt;&lt;/font&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;
&lt;p style="MARGIN-TOP: 6px; MARGIN-BOTTOM: 0px; MARGIN-LEFT: 4%"&gt;
&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;The following
are summaries of recently issued accounting pronouncements that
impact the accounting and reporting practices of the
Company:&lt;/font&gt;&lt;/p&gt;
&lt;p style="MARGIN-TOP: 6px; MARGIN-BOTTOM: 0px; MARGIN-LEFT: 4%"&gt;
&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;In December
2011, the FASB issued Accounting Standards Update (ASU)
No.&amp;#xA0;2011-11, &lt;i&gt;Balance Sheet (Topic 210)&lt;/i&gt;. The update
requires an entity to disclose information about offsetting and
related arrangements to enable users of the financial statements to
understand the effect of netting arrangements on the entity&amp;#x2019;s
financial position. In January 2013, the FASB issued ASU
No.&amp;#xA0;2013-01 to clarify that the scope of ASU No.&amp;#xA0;2011-11
applies to derivatives accounted for in accordance with Topic 815,
including bifurcated embedded derivatives, repurchase agreements
and reverse repurchase agreements, and securities borrowing and
securities lending transactions that are either offset or subject
to an enforceable master netting agreement or similar agreement.
The amendments in the updates are effective for annual reporting
periods beginning on or after January&amp;#xA0;1, 2013, and interim
periods within those annual periods, with disclosures required by
the amendments provided retrospectively for all comparative periods
presented. The adoption of these updates did not have a material
impact on the Company&amp;#x2019;s consolidated financial position or
results of operations.&lt;/font&gt;&lt;/p&gt;
&lt;p style="MARGIN-TOP: 6px; MARGIN-BOTTOM: 0px; MARGIN-LEFT: 4%"&gt;
&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;In October
2012, the FASB issued ASU No.&amp;#xA0;2012-06, &lt;i&gt;Subsequent
Accounting for an Indemnification Asset Recognized at the
Acquisition Date as a Result of a Government-Assisted Acquisition
of a Financial Institution&lt;/i&gt;. The update indicates that when a
reporting entity initially recognizes an indemnification asset as a
result of a government-assisted acquisition of a financial
institution and subsequently a change in the cash flows expected to
be collected on the indemnification asset occurs, the reporting
entity should subsequently account for the change in the
measurement of the indemnification asset on the same basis as the
change in the assets subject to indemnification. Any amortization
of changes in value should be limited to the contractual term of
the indemnification agreement (that is, the lesser of the term of
the indemnification agreement and the remaining life of the
indemnified assets). The amendments in the update are effective for
fiscal years, and interim periods within those years, beginning on
or after December&amp;#xA0;15, 2012, and should be applied
prospectively to any new indemnification assets acquired after the
date of adoption and to indemnification assets existing as of the
date of adoption. Early adoption is permitted. The adoption of this
update did not have a material impact on the Company&amp;#x2019;s
financial position or results of operations.&lt;/font&gt;&lt;/p&gt;
&lt;p style="MARGIN-TOP: 6px; MARGIN-BOTTOM: 0px; MARGIN-LEFT: 4%"&gt;
&lt;font style="FONT-FAMILY: Times New Roman" size="2"&gt;In February
2013, the FASB issued ASU No.&amp;#xA0;2013-02, &lt;i&gt;Comprehensive Income
(Topic 220): Reporting of Amounts Reclassified Out of Accumulated
Other Comprehensive Income.&lt;/i&gt; The update does not change the
current requirements for reporting net income or other
comprehensive income in financial statements. The amendments
require an entity to provide information about the amounts
reclassified out of accumulated other comprehensive income by
component. In addition, an entity is required to present, either on
the face of the statement where net income is presented or in the
notes, significant amounts reclassified out of accumulated other
comprehensive income by the respective line items of net income but
only if the amount reclassified is required under U.S. GAAP to be
reclassified to net income in its entirety in the same reporting
period. For other amounts that are not required under U.S. GAAP to
be reclassified in their entirety to net income, an entity is
required to cross-reference to other disclosures required under
U.S. GAAP that provide additional detail about those amounts. For
public entities, the amendments in the update are effective
prospectively for reporting periods beginning after
December&amp;#xA0;15, 2012. Early adoption is permitted. The adoption
of this update did not have a material impact on the
Company&amp;#x2019;s financial position or results of
operations.&lt;/font&gt;&lt;/p&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 of changes in accounting principles, including adoption of new accounting pronouncements, that describes the new methods, amount and effects on financial statement line items.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef

 -Publisher SEC

 -Name Regulation S-X (SX)

 -Number 210

 -Section 01

 -Paragraph b

 -Subparagraph 6

 -Article 10



Reference 2: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 270

 -SubTopic 10

 -Section 45

 -Paragraph 13

 -URI http://asc.fasb.org/extlink&amp;oid=6372559&amp;loc=d3e765-108305



Reference 3: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 270

 -SubTopic 10

 -Section 45

 -Paragraph 12

 -URI http://asc.fasb.org/extlink&amp;oid=6372559&amp;loc=d3e725-108305



Reference 4: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 250

 -SubTopic 10

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=28359718&amp;loc=d3e22499-107794



Reference 5: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 250

 -SubTopic 10

 -Section 50

 -Paragraph 2

 -URI http://asc.fasb.org/extlink&amp;oid=28359718&amp;loc=d3e22580-107794



Reference 6: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Glossary Direct Effects of a Change in Accounting Principle

 -URI http://asc.fasb.org/extlink&amp;oid=6510796



Reference 7: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Glossary Indirect Effects of a Change in Accounting Principle

 -URI http://asc.fasb.org/extlink&amp;oid=6515603



Reference 8: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Glossary Accounting Change

 -URI http://asc.fasb.org/extlink&amp;oid=6503790



Reference 9: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Glossary Change in Accounting Principle

 -URI http://asc.fasb.org/extlink&amp;oid=6507316



Reference 10: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 270

 -SubTopic 10

 -Section S99

 -Paragraph 1

 -Subparagraph (SX 210.10-01.(b)(6))

 -URI http://asc.fasb.org/extlink&amp;oid=27015980&amp;loc=d3e46468-122699



Reference 11: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Glossary Retrospective Application

 -URI http://asc.fasb.org/extlink&amp;oid=6523989



Reference 12: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 250

 -SubTopic 10

 -Section 50

 -Paragraph 3

 -URI http://asc.fasb.org/extlink&amp;oid=28359718&amp;loc=d3e22583-107794



</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Recent Accounting Pronouncements</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>Recent Accounting Pronouncements</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.firstharrison.com/taxonomy/role/NotesToFinancialStatementsNewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>1</NumberOfRows></InstanceReport>
