Option prices reveal market expectations for exchange rates
Norges Bank staff have adapted a method to derive exchange rate probability distributions from FX option prices. This approach reveals market expectations and uncertainty embedded in currency options.
Unlocking market sentiment from FX options
Option prices contain valuable information regarding the market's assessment of future asset price movements.
This Staff Memo details a method to estimate probability distributions of underlying instruments using these prices, specifically adapted for foreign exchange (FX) options.
The approach, inspired by the Atlanta Fed's Market Probability Tracker, shows how market participants price expectations and risk into exchange rates.
Options are derivative contracts granting the buyer the right, but not the obligation, to buy or sell an underlying asset at a set price in the future.
Their value is intrinsically linked to the probability of having a positive value at maturity, even if currently out-of-the-money.
By analyzing options with different strike prices but the same maturity, an implicit probability distribution for the underlying asset's price can be constructed.
This allows for a deeper understanding of market expectations and uncertainty regarding future currency movements.
Beyond simple forward contracts
The Memo distinguishes between European and American options, noting that European options, exercisable only at maturity, are simpler to value.
Options are classified as 'in the money' (ITM) or 'out of the money' (OTM) based on the relationship between the underlying forward price and the strike price.
Unlike forward contracts, which impose an obligation and can have negative value, options only risk the premium paid, always having a non-negative value at maturity.
The value of an option comprises intrinsic value (profit if exercised today) and time value (potential for favorable price changes before maturity).
The time value is always positive before maturity due to the asymmetric payoff function, where losses are capped at zero but gains are unlimited.
This asymmetry is key to how options reflect future probabilities.
A new lens on currency markets
This study offers a valuable methodological framework for central banks to monitor market-implied exchange rate expectations.
By adapting the Atlanta Fed's approach, Norges Bank demonstrates a practical tool for assessing currency risk and uncertainty.
This can enhance policy analysis by providing a forward-looking perspective beyond simple spot or forward rates.