Which of the following is a FALSE statement?

In a binomial tree created to value an option on a stock, the expected return on stock is the risk-free rate.

Investors do not expect higher returns to compensate for higher risk in a risk-neutral world.

Risk-neutral valuation involves assuming that the expected return is the risk-free rate and then discounting expected payoffs at the risk-free rate.

Risk-neutral valution and no-arbitrage arguments give the same option prices. In order to maintain a riskless hedge using an option and the underlying stock, we need to choose a fixed delta that does not change.