Learn how risk-neutral valuation prices derivatives, why discounting happens at a risk-free rate, and how no-arbitrage drives the method.
Risk-neutral valuation is a pricing method used in derivatives and modern asset pricing.
The idea is not that investors are truly indifferent to risk in real life. The idea is that, under a no-arbitrage framework, derivatives can be priced as if expected payoffs are taken under a risk-neutral probability measure and then discounted at the risk-free rate.
The pricing logic comes from replication and no-arbitrage.
If a derivative payoff can be replicated with traded assets, then the derivative and the replicating portfolio should have the same price. That lets analysts price the derivative without guessing each investor’s personal risk preference.
In a simple setting, the value today is the risk-neutral expected payoff discounted at the risk-free rate.
Risk-neutral valuation sits behind option pricing, interest-rate models, and many fixed-income derivatives.
It is a pricing framework, not a forecast of what investors actually expect to happen in the real world.