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住房抵押贷款损失分为非意愿性违约损失和意愿性违约损失,意愿性违约损失包括提前还款违约损失和到期不还违约损失。通过单个因素下计算得到的利率及其权重,可以得到住房抵押贷款的加权利率,而将所有因素及其权重放在B-S公式中得出了单笔贷款的定价利率公式,在一定条件下,定价利率是加权利率的线性函数。将此条件下的贷款政策分布因子参数作为先验信息,运用贝叶斯后验分布公式得到一个合约利率,基于合约利率与定价利率的比率,可以判别合约利率是否合理,理论及实例分析表明当比率接近1时较为合理。
The loss of the mortgage loan is divided into the loss of unintentional default and the default loss of default, and the default loss of default includes the default loss of prepayment and the loss of non-refundable loan due to expiration. By calculating the interest rate and its weight under a single factor, the weighted interest rate of the home-equity loan can be obtained, and all the factors and their weights are put in the BS formula to get the formula of the interest rate of a single loan. Under certain conditions, The interest rate is a linear function of the weighted interest rate. Based on the priori information of the loan policy distribution factor under this condition, a contractual interest rate is obtained by using the Bayesian posterior distribution formula. Based on the ratio of the contractual interest rate to the fixed interest rate, the contractual interest rate can be judged as reasonable. The theoretical and practical analysis shows that when When the ratio is close to 1, it is more reasonable.