When real estate agents sell their own, rather than clients', houses, they leave the houses on the market for a longer time (10 days longer on average) and wind up with better prices.

Suppose that real estate agents earn a commission equal to 3% of the sale value of each house that they help sell. Suppose a real estate agent has an offer on a house of $100,000. The agent can get a 2% higher offer with more effort and by leaving the house on the market for a few more weeks.

If the agent sells the house now, she will earn a commission of. By keeping the house on the market and expending more effort to sell the house, the agent can earn a commission of. Thus, the agent gainsfor the extra effort and time of keeping the house on the market.

Suppose a real estate agent has an offer on a house that she owns. The agent has a current offer of $100,000, but can get a 2% higher offer with more effort and by leaving the house on the market for a few more weeks. Assume that all of the commission is paid back to the agent, since she will act as the agent for the sale.

If the agent waits to sell the house, she gainsmore than selling the house now. Since this amount is than what she would gain by waiting to sell a house she does not own (as in the first part of the problem), the agent is likely to keep a house on the market and expend more effort to sell a house that she owns, as opposed to one that she does not own.