S.D. Codified Laws § 58-46-10
A pure or agency captive insurance company may be incorporated as a stock corporation, a nonstock corporation, a nonprofit corporation, or may be formed as a limited liability company, business trust under chapter 47-14A, or other form of legal entity as approved by the director.
A group captive insurance company may be incorporated as a stock corporation or as a nonstock corporation, may be formed as a limited liability company, a business trust, or may be organized as a reciprocal insurer, or other form of legal entity as approved by the director.
A special purpose captive insurance company may be incorporated as a stock corporation or as a nonstock corporation, may be formed as a limited liability company, business trust or trust, or may be such other form of legal entity as approved by the director.
A trust captive insurance company may be incorporated as a stock corporation or as a nonstock corporation, or may be formed as a limited liability company, or business trust, or other form of legal entity as approved by the director.
A sponsored captive insurance company may be incorporated as a stock corporation or as a nonstock corporation, or may be formed as a limited liability company, or business trust, or other form of legal entity as approved by the director.
SDCL 58-46-10