Any authorized officer, after filing with the Secretary of State the manual signature of the authorized officer certified under oath, may execute or cause to be executed with a facsimile signature instead of a manual signature: any public security, if the signature of at least 1 authorized officer required or permitted to be placed on the public security is manually subscribed; and any instrument of payment. If a public security is required to be manually signed by a trustee, issuing agent, fiscal agent, registrar, or other agent or custodian, any other signature required or permitted to be placed on the public security may be a facsimile signature. Upon compliance with this subtitle by the authorized officer, the facsimile signature of the authorized officer has the same legal effect as the manual signature of the authorized officer.