please show work

Compare the results you got in part a) for future value of a "regular" annuity compare these to the value you got for the annuity due (part b). Now look compare the PV of the regular annuity in part (c) to the PV of an annuity due in part (d). What is the relationship that you see? Using the time value of money concepts you have learned so far, why does this relationship (FV of regular annuity vs. annuity due and PV of regular annuity vs. annuity due) occur? (4 points) a) You and your family have had a rough couple of years and are ready for a break. You feel you REALLY need a vacation. However, you haven't been able to save much over the past couple of years, so you are looking at vacation loan options. These are personal loans, sometimes even available when you book your trip. You don't have $6000 you need for the trip available on your credit card, so you decide to go for the vacation loan. Your credit score isn't horrible, but it isn't great either. The best deal you can get is to pay a 5.5% "origination fee" for the loan, which means that you are financing $6,330 but will only receive $6,000 for the trip. You set up a payment plan to pay this $6,330 loan off over 4 years, with monthly payments. The best interest rate that was offered to you was 15% (APR). How much are your monthly payments and how much in total are you really paying for this trip now? (I'm just looking for the sum of the payments made.) Up to 1 point for each answer. b) Discuss at least one alternative to the above scenario that gives your family a break, but without the high cost of the vacation loan. FYI: I did a very quick Google search and found quick ideas. I'm not looking for a lot here, just a few sentences and some thoughts that will give your family a break without breaking the bank. Obviously, there is no single "correct answer" I'm looking for, just some creative thinking