Adrian, a single man who wants to buy a house in five years, read an article that recommended a down payment of $20$ percent. With a large income and little debt, Adrian can afford to save a substantial amount of money every month. He is asking you for advice to help him reach his goal.

Adrian found a nice house today that is selling for $$150,000.$ Assuming an inflation rate of $5$ percent in the local real estate market, how much will this house sell for in five years?

Group of answer choices

$$157,500$

$$204,650$

$$187,500$

$$191,442$