Housing Models
These models and simulations have been tagged “Housing”.
These models and simulations have been tagged “Housing”.
This model will represent how the changes in price elasticity compared to the median price, affect the supply and demand within the real-estate domain.
1) Price and Demand Elasticity can be changed between 0-100 to show variances within the sensitivity of price in the market.
2) Buyers & Sellers are set to 75 however this can be fluctuated between 0-150 to represent variances within the demand & supply in the market.
3) Median Price is set to 75 since the total amount of buyers and sellers within the market is set to a maximum of 150. 75 is therefore the ‘median’.
4) Interest rates are also a factor in the demand of houses and influence the motivation for Buyers. If interest rates are high, Buyers are less motivated to buy due to increase in mortgages, therefore having a decrease in the demand and vice versa for when they are low. The following equation compares the price of houses to the median price, and if this condition is true, will apply Interest Rate(s) to the following logic.
if [Price]<[Median Price] Then
([Interest Rate]+[Demand Growth Ratio]-[Demand Growth Ratio])*[Buyers] end if
5) The price of houses is directly influenced by elasticity of demand and price within the market place. For example; if the elasticity of demand is relatively inelastic, the percentage change in the amount of houses demanded is smaller than that of the price. The following equation applies the logic listed above.
60-[Supply Elasticity of Price]/100*[Total Sellers]+[Demand Elasticity of Price]/100*[Total Buyers]+[Price Elasticity of Supply]/100*[Total Sellers]
Miguel's Model of the Real Estate Market and Price Elasticity
This model represents the real-estate market, and the processes and variables in play which influence thatfocus on the effects of Price on the Elasticity of Supply and Demand.
The law of supply and demand states that when there is a high demand for a good or service. The price of the good or service rises. If there is a large supply of good or service but not enough demand for the good or service, the price falls.
The price elasticity of supply is used to see how sensitive
the supply of a good is to a price change. The higher the price elasticity the
higher the sensitivity to price change. A Low price elasticity implies that
changes in price have little influence on supply.
The price elasticity of Demand is used to see how sensitive the demand for a good is to a price change. The higher the price elasticity, the more sensitive to price changes. A Low price elasticity implies that changes in price have little influence on demand.
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Important Variables and Stocks Involved
Old Quantity of Supply
%Change in Quantity Supply
HousesforSale
Old Quantity of Demand
%Change in Quantity Demand
WantingToBuy
Price Elasticity of Supply
Price Elasticity of Demand
%Change in Price
Old Price
New Price
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Within this model to calculate the price elasticity of supply, the percentage change is first calculated using the Old quantity and New quantity (HousesForSale).
This percentage change is then divided by the percentage change of the Old Price and New Price to obtain the Price Elasticity of Supply.
Similarly to calculate the price elasticity of demand, the percentage change is calculated using the Old quantity of demand and New quantity of demand (WantingToBuy).
This percentage change is then divided by the percentage change in price to obtain the Price Elasticity of Demand.
With the slider variables that can be changed are the Old Price and New price which affect the percentage change in price.
The percentage change in price then affects the Price Elasticity of Supply and Demand as it is used in conjunction with the %Change in quantity of Supply and Demand to obtain a value.
If we set the settings and simulate to:
Old Price = 500('000)
New Price = 250('000)
Old Quantity of Supply = 100
HousesforSale (New Quantity of Supply) = 50
Old Quantity of Demand = 10
WantingToBuy (New Quantity of Demand) = 5
We can see that the Demand is a lot higher because the the houses are half the price than the old price.
If we use these settings:
Old Price = 250('000)
New Price = 500('000)
Old Quantity of Supply = 50
HousesforSale (New Quantity of Supply) = 25
Old Quantity of Demand = 25
WantingToBuy (New Quantity of Demand) = 10
We can see that the supply is a lot higher than demand as the new price is twice the amount of the old price.
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With the sliders, these values can be adjusted to see the affect on the Price Elasticity of Supply and Demand.
This Model should have included its effect on the price however, was not added due to problems finding the right equation.
Real Estate Market Modeling diagram
This diagram implies the simple supply and demand concept to show the relationship of different roles in the real estate market and how they affect the price of houses, buyers and sellers.
The motivations are based on the concept, when the houses’ price goes down (demand goes down) there will be more people interested in buy a new house (supply goes up).
The simulation will show the range within 36 months as units. It demonstrates the comparison of price, houses buyers and Houses for sale.
