Bilateral invoicing currency ratios: A methodology to calculate them from unilateral invoicing currency ratios
提出一种通过反向工程从单边计价比例推导双边计价比例的方法，利用贸易权重矩阵的Moore-Penrose伪逆进行估算，适用于研究国际贸易计价货币结构。
We suggest obtaining bilateral invoicing ratios by reverse-engineering the unilateral invoicing ratios. We describe the methodology for conducting this extraction algorithm: pre-multiplying the Moore–Penrose pseudoinverse of the bilateral trading partners’ weights matrix to the unilateral invoicing vector. • We propose the methodology to obtain bilateral invoicing currency ratios. • The bilateral trade weights and unilateral invoicing currency ratios are required. • The estimates are obtained by the Moore–Penrose pseudoinverse of the weighting matrix. • In the application of a four-county example, the estimates are shown to be reliable.