Question

Suppose that there is asymmetric information in the market for used cars. Sellers know the quality of the car that they are​ selling, but buyers do not.Buyers know that there is a 40​% chance of getting a​ "lemon", a low quality used car. A high quality used car is worth​ $30,000, and a low quality used car is worth​ $15,000.Based on this​ probability, the most that a buyer would be willing to pay for a used car is ​$

Answer 1

Answer:

A buyer would be willing to pay at most $24,000.

Explanation:

There is a 40% chance of getting low quality cars.

Value of high quality car is $30,000.

Value of low quality car is $15,000.

Price of car that buyer will be willing to pay

=40% of lower quality+60% of higher quality

=40% of $15,000+60% of $30,000

=0.4*15,000+0.6*30,000

=$6,000+$18,000

=$24,000

So, the buyers will be willing to pay a maximum value of $24,000.