<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-05-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001397821</issuerCik>
        <issuerName>Duff &amp; Phelps Corp</issuerName>
        <issuerTradingSymbol>DUF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001413236</rptOwnerCik>
            <rptOwnerName>BELKE ROBERT</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LOVELL MINNICK PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>2141 ROSECRANS AVENUE, SUITE 5150</rptOwnerStreet2>
            <rptOwnerCity>EL SEGUNDO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90245</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Duff &amp; Phelps Acquisitions, LLC New Class A Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2009-05-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1900000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.75</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1900000</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3615564</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>see footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to an exchange agreement entered into on October 3, 2007 in connection with the closing of the initial public offering of Duff &amp; Phelps Corporation (the &quot;IPO&quot;), holders of New Class A Units of Duff &amp; Phelps Acquisitions, LLC (&quot;DPA&quot;) issued in connection with the reorganization of DPA immediately prior to the consummation of the IPO (the &quot;Reorganization&quot;) may exchange their New Class A Units for Class A common stock of Duff &amp; Phelps Corporation on a one-for-one basis up to four times each year, subject to the vesting, minimum retained ownership requirements and transfer restrictions and customary conversion rate adjustments for splits, unit distributions and reclassifications contained in the exchange agreement.</footnote>
        <footnote id="F2">The New Class A Units listed in the table above were redeemed by Duff &amp; Phelps Acquisitions, LLC using a portion of the net proceeds from Duff &amp; Phelps Corporation's public offering of 8,050,000 shares of Class A common stock.</footnote>
        <footnote id="F3">Beneficially owned by Lovell Minnick Partners LLC.  The address of Lovell Minnick Partners LLC is 2141 Rosecrans Avenue, Suite 5150, El Segundo, CA 90245.</footnote>
        <footnote id="F4">As an officer of Lovell Minnick Partners LLC, Mr. Belke may be deemed to share beneficial ownership of the shares held respectively by Lovell Minnick Equity Partners LP and LM Duff Holdings, LLC. Mr. Belke disclaims beneficial ownership of such shares and any other shares held by affiliates of Lovell Minnick Partners LLC except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Edward S. Forman as Attorney-in-Fact for Robert Belke
Executive VP, General Counsel, Secretary</signatureName>
        <signatureDate>2009-05-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
