To hedge the interest-rate risk against a firm's surplus, insurance companies commonly set the firm's asset duration equalto the debt ratio times the firm's liability duration. However. this strategy focuses only on the fluctuation of interest rates; it does not address any of the uncertainty in the underlined factors , which guide the changes in interest rates . This paper first identifies parameter risks against a firm's surplus. We further propose to use goal proyamming to integrate the traditional immunization strategy against interest-rate risk and the strategies against parameter risks . Since the goal programming suggested in our paper is an integrated model of immunization strategies against interest-rate risk and parameter risks. the immunization strategy suggested here includes classical immunization strategy as a special case . Moreover. the results of our simulation show that. compared to classical immunization. the goal programming proposed in this paper can reduce significantly the overall risks against an insurance company's surplus.