Exploring Implied Certainty Equivalent Rates in Financial Markets: Empirical Analysis and Application to the Electric Vehicle Industry

TL;DR

This paper investigates the implied certainty equivalent rate's impact on investment decisions, deriving its formula, analyzing empirical data from stocks and options, and applying findings to the electric vehicle industry to inform risk-aware investment strategies.

Contribution

It introduces a mathematical expression for the implied certainty equivalent rate using put-call parity and applies empirical analysis to stocks, options, and the electric vehicle industry.

Findings

Positive implied certainty equivalent rates are more suitable for investment.

Larger positive rates indicate higher investment risk.

Application to electric vehicle stocks supports the general conclusions.

Abstract

In this paper, we mainly study the impact of the implied certainty equivalent rate on investment in financial markets. First, we derived the mathematical expression of the implied certainty equivalent rate by using put-call parity, and then we selected some company stocks and options; we considered the best-performing and worst-performing company stocks and options from the beginning of 2023 to the present for empirical research. By visualizing the relationship between the time to maturity, moneyness, and implied certainty equivalent rate of these options, we have obtained a universal conclusion -- a positive implied certainty equivalent rate is more suitable for investment than a negative implied certainty equivalent rate, but for a positive implied certainty equivalent rate, a larger value also means a higher investment risk. Next, we applied these results to the electric vehicle industry, and by comparing several well-known US electric vehicle production companies, we further strengthened our conclusions. Finally, we give a warning concerning risk, that is, investment in the financial market should not focus solely on the implied certainty equivalent rate, because investment is not an easy task, and many factors need to be considered, including some factors that are difficult to predict with models.