"Save You Money" or "Save Your Money"?

Question

The discount is here to save you money.

The discount is here to save your money.

Which one of them is correct?

Answer 1

They are both correct. In each case, money is the direct object of save. The money is saved.

In the first example, you is the indirect object. You are the beneficiary of the action. it could be rephrased to read The discount here saves money for you.

In the second example, money is still the direct object, and there is no expressed indirect object. But the beneficiary of the action is implied by the adjective your which modifies money.

The former is likely more common and flows better. The phrase save your money is often used in circumstances when a person is being urged to spend no money.

The item is junk. Save your money. [meaning don't buy it]

Answer 2

Under the guise of money being an indirect object...

The discount is here to save you money.

Possible variations...

The discount here saves you money.
The discount is to save you money.
The discount saves you money.

Answer 3

Both are valid. Possible usage for the verb to save are...

1: intransitive
Jesus saves (non-specific, which allows for jocular misinterpretation)

2: transitive
Jesus saves sinners

3: ditransitive
Jesus saves sinners going to hell (with the gerund/noun going to hell as a "secondary object")

In OP's case, saves you money is a ditransitive usage. The "beneficiary" is you, the "secondary object" is money.

Note that the secondary object can be either something preserved (money) or something prevented/made unnecessary (going to hell). OP's alternative saves your money is thus a transitive usage where the single object your money is preserved, retained, not wasted.

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Although I said both versions are valid, that doesn't mean they're equally likely. OP's first version is far more common, as evidenced by the fact that Google Books claims 19,900 written instances for ditransitive "this will save you money", but only 9 instances of "this will save your money".