To calculate the appreciation of the house over a period of 3 years with a 5% annual appreciation rate, we can use the formula:
Appreciation = Purchase price * (1 + Appreciation rate)^Number of years
Let's calculate the appreciation:
Appreciation = $170,000 * (1 + 0.05)^3
= $170,000 * (1.05)^3
≈ $170,000 * 1.157625
≈ $196,596.25
Therefore, the house would appreciate to approximately $196,596.25 after 3 years with a 5% annual appreciation rate.