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| <?xml version="1.0" encoding="windows-1252"?> |
| <ownershipDocument> |
| <schemaVersion> X0306 </schemaVersion> |
| <documentType> 4 </documentType> |
| <periodOfReport> 2016-02-10 </periodOfReport> |
| <notSubjectToSection16> 0 </notSubjectToSection16> |
| <issuer> |
| | <issuerCik> 0001163348 </issuerCik> |
| | <issuerName> Allied World Assurance Co Holdings, AG </issuerName> |
| | <issuerTradingSymbol> AWH </issuerTradingSymbol> |
| | </issuer> |
| <reportingOwner> |
| | <reportingOwnerId> |
| | | <rptOwnerCik> 0001198917 </rptOwnerCik> |
| | | <rptOwnerName> BRADLEY THOMAS A </rptOwnerName> |
| | | </reportingOwnerId> |
| | <reportingOwnerAddress> |
| | | <rptOwnerStreet1> ALLIED WORLD ASSURANCE CO. HOLDINGS, AG </rptOwnerStreet1> |
| | | <rptOwnerStreet2> GUBELSTRASSE 24, PARK TOWER, 15TH FLOOR </rptOwnerStreet2> |
| | | <rptOwnerCity> ZUG </rptOwnerCity> |
| | | <rptOwnerState> V8 </rptOwnerState> |
| | | <rptOwnerZipCode> 6300 </rptOwnerZipCode> |
| | | <rptOwnerStateDescription> SWITZERLAND </rptOwnerStateDescription> |
| | | </reportingOwnerAddress> |
| | <reportingOwnerRelationship> |
| | | <isDirector> 0 </isDirector> |
| | | <isOfficer> 1 </isOfficer> |
| | | <isTenPercentOwner> 0 </isTenPercentOwner> |
| | | <isOther> 0 </isOther> |
| | | <officerTitle> EVP & CFO </officerTitle> |
| | | </reportingOwnerRelationship> |
| | </reportingOwner> |
| <nonDerivativeTable> |
| | <nonDerivativeTransaction> |
| | | <securityTitle> |
| <value> Common Shares </value> |
| </securityTitle> |
| | | <transactionDate> |
| <value> 2016-02-10 </value> |
| </transactionDate> |
| | | <deemedExecutionDate></deemedExecutionDate> |
| | | <transactionCoding> |
| <transactionFormType> 4 </transactionFormType> |
| <transactionCode> P </transactionCode> |
| <equitySwapInvolved> 0 </equitySwapInvolved> |
| </transactionCoding> |
| | | <transactionTimeliness> |
| <value></value> |
| </transactionTimeliness> |
| | | <transactionAmounts> |
| <transactionShares> |
| <value> 3000 </value> |
| </transactionShares> |
| <transactionPricePerShare> |
| <value> 31.37 </value> |
| <footnoteId id="F1"/> |
| </transactionPricePerShare> |
| <transactionAcquiredDisposedCode> |
| <value> A </value> |
| </transactionAcquiredDisposedCode> |
| </transactionAmounts> |
| | | <postTransactionAmounts> |
| <sharesOwnedFollowingTransaction> |
| <value> 8050 </value> |
| </sharesOwnedFollowingTransaction> |
| </postTransactionAmounts> |
| | | <ownershipNature> |
| <directOrIndirectOwnership> |
| <value> D </value> |
| </directOrIndirectOwnership> |
| </ownershipNature> |
| | | </nonDerivativeTransaction> |
| | </nonDerivativeTable> |
| <footnotes> |
| | <footnote id="F1"> Represents a weighted average purchase price: the purchase prices range from $31.36 to $31.38. Upon request, the full purchase information regarding the number of shares purchased at each price increment will be provided to the U.S. Securities and Exchange Commission, the issuer or a security holder of the issuer. </footnote> |
| | </footnotes> |
| <remarks></remarks> |
| <ownerSignature> |
| | <signatureName> /s/ Theodore Neos, by Power of Attorney </signatureName> |
| | <signatureDate> 2016-02-10 </signatureDate> |
| | </ownerSignature> |
| </ownershipDocument> |
