Answer:
0.475% per month
Explanation:
value of property A 24 months ago = $500,000
current value of property A = $425,000
total decrease in value = $500,000 - $425,000 = $75,000 or 15%
monthly % decrease:
1.15 = (1 + r)²⁴
²⁴√1.15 = (1 + r)
1.0058 = 1 + r
r = 0.00584 = 0.58% decrease per month
value of property B 48 months ago = $575,000
current value of property A = $465,000
total decrease in value = $575,000 - $465,000 = $110,000 or 19.13%
monthly % decrease:
1.1913= (1 + r)⁴⁸
⁴⁸√1.1913 = (1 + r)
1.0037 = 1 + r
r = 0.0037 = 0.37% decrease per month
if both properties are weighted equally, then the market decrease per month = (0.58% x 1/2) + (0.37% x 1/2) = 0.475% per month
