There exists significant agency problems between deposit insurance cor- poration and insured banks due to the asymmetricity of rights to obligations in d eposit insurance contract and the inadequate forbearance of deposit insurance co rporation to insured banks. The deposit insurance contract is considered as a si mple put option in the previous studies.However, the researchers have ignored the agency problems caused by some factors, such as capital forbearence of deposit insurance corporation, enforcing closure policy of financial regulators, and self-closure of insured banks. From the perspective of agency theory, this study extends Allen & Saunders (1993) callable perpetual American put option and hence derives a modified model for pricng deposit insurance value. In addition, we also use the financial data of Taiwan's listed banks to perform empirical study on optimal closure policy and capital adequacy of those banks.