pls solve this mathematically and use a time diagram if possible. pls do not use excel spreadsheets.

the screenshot is the clearer version of the question

3. (5+5+5+5+5 points) An annyity consists of 40 payments of $500 each made at intervals of 3 months. Interest is it ji = 4,5%. Determine the value of this annuity at each of the following times: (1) 3 months before the time of the first payment; (b) at the time of the last payment; (c) at the time of the first payment; (d) 3 months after the last payment; (e) 4 years and 3 months before the first payme MacBook 3. (5+5+5+5+5 points) An annuity consists of 40 payments of $500 each made at intervals of 3 months. Interest is at j1 = 4.5%. Determine the value of this annuity at each of the following times: (a) 3 months before the time of the first payment; (b) at the time of the last payment; (c) at the time of the first payment; (d) 3 months after the last payment; (e) 4 years and 3 months before the first payment