Which of the following statement is FALSE?

Check whether early exercise is optimal at the FINAL nodes where the option is in the money when valuing for American put options.

In a risk-neutral world, the discount rate used for the expected payoff on an option is the risk-free rate.

Check whether early exercise is optimal at ALL nodes where the option is in the money when valuing for American put options.

In a risk-neutral world, the expected return on a call option is independent of its strike price.