Classic option pricing theory values a derivative contract via dynamic replication, and views the derivative as redundant relative to the replicating portfolio. In practice, while dynamic replication proves highly effective in drastically reducing the risk in derivative investments, the...

Risk and return play a central role in financial theory. Return is easily measurable and is a percentage number indicating by how much the value of an investment or asset has changed from the previous period. But how should risk be measured? Over longer holding periods, return generation is...

Investors and regulators require reliable estimates of physical climate risks for decision-making. While assessing these risks is challenging, several commercial data providers and academics have started to develop physical risk scores at the firm level. This paper compares six physical risk...

The severity of extreme weather events is increasing due to climate change, giving rise to physical climate risk. However, physical climate risk is not only driven by the severity of individual hazards, but also by the interdependence of those hazards. This paper establishes bounds for the...

The concept of second-order risk operationalizes the estimation risk in portfolio construction induced by model uncertainty. We study its contribution to the realized volatility of recently developed risk parity strategies. For each strategy, we derive closed-form solutions for the second-order...

We use BERT, an AI-based algorithm for language understanding, to decipher regulatory climate-risk disclosures and measure their impact on the credit default swap (CDS) market. Risk disclosures can either increase or decrease credit spreads, depending on whether disclosure reveals new risks or...