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

a. Jack and Jill are twins and at 20 years of age they both opened separate investment accounts with an on online broker. Jack started investing $50 a month starting from today. Jill will save $55 a month starting at the end of the month. if this investment account gives them 8% annual return on investment, how much money will each have accumulated when they both retire at age 65?

b. 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?

c. 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.

d. 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?