Question

In: Finance

You are attempting to arrive at what the monthly rate of change that has recently occurred...

You are attempting to arrive at what the monthly rate of change that has recently occurred in the real estate market. In doing some research, you find two properties that have sold twice with the last two years. Property A sold proerties months ago for $98,500; it sold last week for $108,000. Property B sold 20 months ago for $105,000; it sold two weeks ago for $113,500.

A comparable property sold 12 months ago for $102,000. Use the information above to calculate the adjusted price of this comparable.

Solutions

Expert Solution

Property A: From 98,500$ to 108,000 $ in 22 months;
Thus let the rate of monthly change be 'r'
108,000 = 98500 * ( 1+r/100) 22
r = ( ( 108,000 / 98500 ) 1/22 -1) * 100 = 0.4194%
Thus, the monthly rate of change for property A is 0.4194 %

Property B: From 105,000$ to 113,500 $ in 20 months;
Thus let the rate of monthly change be 'r'
113,500 = 105,000 * ( 1+r/100) 20
r = ( ( 113,500 / 105,000 ) 1/20 -1) * 100 = 0.3899% ~= 0.39%
Thus, the monthly rate of change for property B is 0.39 %

For average monthly rate of change, take average of the two monthly rates of changes :
0.39 + 0.4194 / 2 = 0.4047 %

Thus, the average monthly rate of chance taht can be used in adjusting comparable properties is = 0.4047 %

A comparable property sold for % 102,000 12 months ago;
So given the average monthly rate of change,
the value of this proeprty today after 12 months will be :
(102,000) * (1.004047)12 = $107065.29

Thus, the adjusted price of this comparable property is $ 107065.29


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