A single bank is considering two options: First, it can make a $200,000 mortgage loan for a customer with a 10 percent probability of default, or second, it can buy a $200,000 security representing a bundle of 100 mortgage loans, which break down as shown in the table below.

You can calculate the weighted risk for each firm category by multiplying the percentage of loans represented (for example, the first tier includes 35 loans, which is 35/100 = 35% of the total) times the probability of default on loans of that category.

Instructions: Round your answers to three decimal places.

a. Calculate the weighted risk for each type of loan, then add together the weighted risks to come up with an overall expected default risk for this financial investment.

Number of loans	Probability of Default	Weighted Risk
35	3
25	10
15	1.6
25	5

Adding together the weighted risks, the expected default risk for the security is: %?

b. If the bank is willing to take on only projects for which the default risk is 6% or less, it should choose the (Click to select) single mortgage loan or bundle of mortgages .