Calculate the present value of each following pattern of cash flows:

a) You are considering an investment. A five-year term deposit will provide a 6.25% interest rate, compounding every 2 months. How much must invest today to receive $17,500 at the end of five years?

b) You just signed a 6 year loan, requiring that you make a payment of $525 at the end of each month. The loan's interest rate is 8%, compounding monthly. What is the principal of the loan?

c) What is the present value of receiving 3,750 at the end of each year for five years, along with another $25,000 at the end of five years, assuming a 3.25% interest rate, compounding annually?