在第二篇研究中，針對標的資產為自然現象(如：地震、颶風、野火…等)的多資產衍生性商品，本文在風險中立評價關係的架構下，透過多變數Gamma分配，建構一般化的多資產衍生性商品評價公式。此外，以常見的一籃子選擇權與價差選擇權做為數值範例，其數值結果顯示評價評價公式相當精確。對於無法導出評價公式的衍生性商品，本文提供多變數Gamma分配下，蒙地卡羅模擬法的評價方法，讓使用者可以尋求數值解作為評價的替代方案。 ;This study contains two essays on valuation of derivative contracts and reverse mortgages.
In Essay 1, the pricing model for Taiwan′s reverse mortgage contract (RMC) is proposed to improve ineffective promotion. If government authorities or financial institutions try to establish a third-party credit guarantee institution, the pricing model proposed in this paper may have its reference value for the subsequent studies. Moreover, the parameter estimation methods and the numerical examinations are also provided in this article. Furthermore, this article demonstrates the sensitivity analysis for the government authorities or financial institutions to manage the risk exposure of the third-party credit guarantee institution.
In Essay 2, under the general equilibrium risk-neutral valuation relationship framework, a multi-asset pricing model based on multivariate gamma distribution is proposed to capture the features of the data of environmental phenomena. This paper demonstrates two applications to price basket options and spread options. The numerical results show that the pricing model is sufficiently accurate. As for financial instruments that do not have closed-form pricing formulas, this paper further develops the Monte Carlo simulation method to manage their pricing.
