Summary
Messages that are forwarded will appear to be forwarded from you. When you reply to a message that has been forwarded, the reply will be sent to the address the message was forwarded from, not to the original sender.
How to: Setup a Rule
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In Outlook Web App, click Settings 
> Options > Organize Email > Inbox Rules.
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On the Inbox rules tab, click the arrow next to the plus symbol +, and select Create a new rule for arriving messages.
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Under When the message arrives, select Apply to all messages.
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Under Do the following, click More options.
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Under Do the following, select Forward, redirect or send, and then select Forward the message to or Forward the message as an attachment to.
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Select the address you want your mail sent to by double-clicking it in the address book view. If the address you want to forward to doesn't appear, you can enter the email address on the To line at the top of the window.
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Click OK to save your selections and return to the new rule window.
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Click Save to save your rule and return to the Inbox rules tab.