Suppose the nominal interest rate is 3 percent, the cost of going to the ATM is $1.50, you have a 12 percent probability of having your cash lost or…

9. Suppose the nominal interest rate is 3 percent, the cost of going to the ATM is $1.50, you have a 12 percent probability of having your cash lost or stolen, and you spend $5 each day.

a. What is your total cost of holding cash as a function of the number of days between trips to the ATM?

b. How often will you go to the ATM to minimize your costs?

10. Suppose you have a 20 percent probability of having your cash lost or stolen, and you spend $25 each day. Your total cost of holding cash is (182.50/T) + (3.75 × T).

a. What is your cost of going to the ATM?

b. What is the nominal interest rate?

c. How often will you go to the ATM to minimize your costs?