基于微分博弈的房屋定價模型構(gòu)建
本文選題:房地產(chǎn) 切入點:定價模型 出處:《西北民族大學(xué)》2014年碩士論文
【摘要】:伴隨著房地產(chǎn)體制改革,房屋已不再僅僅作為居住使用,而變成了一種商品,成為一種投資手段。其中房價是調(diào)節(jié)房地產(chǎn)業(yè)利潤和促進(jìn)房地產(chǎn)經(jīng)濟(jì)迅速發(fā)展的有利杠桿。但是,房地產(chǎn)業(yè)的持續(xù)高速發(fā)展也帶來了一系列的社會問題,過高的房價問題成為最主要的社會矛盾,它把房地產(chǎn)業(yè)從民生產(chǎn)業(yè)轉(zhuǎn)變?yōu)橹\求暴利的產(chǎn)業(yè)。房價的持續(xù)走高不僅影響健康的市場秩序,而且也會影響我國的可持續(xù)發(fā)展、社會穩(wěn)定和國家經(jīng)濟(jì)安全。美國的金融危機(jī)也是由房產(chǎn)泡沫引起的,可見房地產(chǎn)業(yè)對整個國家的經(jīng)濟(jì)起著至關(guān)重要的作用。因此,確定正確的定價模型,對開發(fā)商在競爭中處于有力地位,進(jìn)而促進(jìn)我國房地產(chǎn)業(yè)的健康發(fā)展具有重要意義。目前比較常用的房屋定價模型多為靜態(tài)的定價法,即短期內(nèi)不改變房屋價格,可是這已經(jīng)很難適應(yīng)現(xiàn)今瞬息萬變的房地產(chǎn)市場。 本文引入房價的微分狀態(tài)方程,同時考慮時間變量,通過確定政府與房地產(chǎn)商的決策變量及支付函數(shù)建立兩者問的主從微分博弈模型。并且構(gòu)造兩者的HJB方程對模型求解。由政府的最優(yōu)決策t及房地產(chǎn)商的最優(yōu)決策q的值,進(jìn)而確定房價的值p。并且通過數(shù)值仿真圖像可以看出房價將成下降趨勢,而政府的決策變量補償支付(稅收)及房地產(chǎn)商的的決策變量供房量將成上升趨勢。
[Abstract]:With the reform of the real estate system, housing has become a commodity and a means of investment instead of being used as a residence. The housing price is a good lever to regulate the real estate profits and promote the rapid development of the real estate economy. The sustained and rapid development of the real estate industry has also brought about a series of social problems. The problem of excessive housing prices has become the most important social contradiction. It transforms the real estate industry from a livelihood industry to an industry seeking huge profits. The sustained rise in house prices not only affects the healthy market order, but also affects the sustainable development of our country. Social stability and national economic security. The financial crisis in the United States was also caused by the housing bubble, which shows that real estate plays a vital role in the economy of the country as a whole. It is of great significance for the developers to be in a strong position in the competition and then promote the healthy development of the real estate industry in our country. At present, most of the commonly used housing pricing models are static pricing methods, that is, the housing prices will not be changed in the short term. But this has been difficult to adapt to the current changing real estate market. In this paper, the differential state equation of house price is introduced, and the time variable is considered. By determining the decision variables and payment functions of the government and the real estate developer, the principal and subordinate differential game models are established, and the HJB equations of both are constructed to solve the model. The value of the government's optimal decision t and the optimal decision Q of the real estate developer are obtained from the value of the government's optimal decision t and the real estate developer's optimal decision Q. Then the value of house price is determined, and through the numerical simulation image, we can see that the price of house will become a downward trend, while the government's decision variable compensation payment (tax) and the decision variable of real estate developer will become the increasing trend of housing supply.
【學(xué)位授予單位】:西北民族大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2014
【分類號】:F299.23;F224
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