Please show your steps for each part of the problem using a financial calculator and list the button combination pressed in order to arrive at your answer!

a. You have saved up for retirement in an annuity account. This account earns a return of 7% on annual basis but compounded monthly. You are due to retire in 6 years from now. You will receive monthly payments of $2,400 at the end of each month after retiring, for 15 years. How much have you saved up in this account today?

b. Two banks are competing to give a loan to you for $150,000 with 30-year term to maturity, bank a is offering 6% with quarterly compounding while bank b is offering 5.98% with daily compounding. Which bank should you take the loan from? Support your answer with calculations.

c. A contract requires you to make a payment of $2,500 immediately upfront and additional three payments of $500 each at the end of next three years. If interest rate on this investment is 8.5%, calculate the present value of the contract?