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金融机构根据购房者的信用提供房贷,信用则主要依赖于房价。而房价又依赖于购房者的需求,最终购房者会根据金融机构提供的房贷情况进行抉择。本文构建了一个关于房价、收入与金融机构的数理模型,并从基本分析和预期分析两方展开了讨论,发现金融机构间的竞争、收入及其波动是影响房价的重要因素。同时,在预期分析中发现稳定收入的重要性,如果收入降低将带来房贷市场的危机,进而波及到宏观经济的发展。
Financial institutions provide home loans based on home buyers’ credit, while credit mainly relies on house prices. The price is dependent on the needs of home buyers, the final buyers will be based on the financial institutions to provide mortgage choice. This article constructs a mathematical model of house prices, incomes and financial institutions. It discusses the basic analysis and the expected analysis. It finds that the competition among financial institutions, their income and their fluctuations are the important factors that affect house prices. At the same time, we found the importance of stable income in the expected analysis. If the income is reduced, it will bring a crisis in the mortgage market and further macroeconomic development.