But you can use it. In very limited ways, but still, you could. Evaluated this way, then you have infinite value.
If you still doubt this, then . . . Do you know that Santa Clause was once listed as the richest fictional character by Forbes? Giving gifts to children every year, Santa Clause has the estimated value of ∞. This is a similar situation. You have infinite resource to invest, Santa gives infinite amount of gifts . . . if Santa have an infinite value why can't you?
And seriously, your analogy is just off.
And you can invest, but considering you have infinite amount of resource to invest, you can virtually invest in everything. You have the world economy in your claws.