Deposit insurance pricing under GARCH

As homoscedasticity assumption of asset return is questionable, traditional deposit insurance pricing analysis based on the Black-Scholes model always performs poorly. This paper focuses on deposit insurance pricing under a GARCH framework. A closed-form pricing formula is derived, and an estimation method for the pricing model with market data is also presented. We apply the pricing model on a sample of 40 U.S. exchange-listed banks and the results reaffirm the importance of GARCH framework. The premium rate under the GARCH framework is always much lower than its Black-Scholes counterpart during high-risk periods.