A graduating senior decides to take a year off and work to save money for college. The student plans to invest all money earned in a savings account earning 6% interest, compounded quarterly. The student hopes to have $5000 by the time school starts in 12 months. How much money will the student have to save each month? Sketch the cash flow diagram. A) $396/month B) $405/month C) $407/month D) $411/month The Powerball Lottery, worth $182 million, was won by a single individual. The winner was given two choices: receive 26 payments of $7 million each with the first payment to be made immediately and the rest to be made at the end of each of the next 25 years, or receive a single lump-sum payment now that would be equivalent to the 26 payments of $7 million each. If the state uses an interest rate of 4% per year, calculate the amount of the lump sum payment.
Expert Answer
Answer
Principle | Addition | Total | Interest | closing |
405.00 | 0.00 | 405.00 | 0.00 | 405.00 |
405.00 | 405.00 | 810.00 | 0.00 | 810.00 |
810.00 | 405.00 | 1215.00 | 18.23 | 1233.23 |
1233.23 | 405.00 | 1638.23 | 0.00 | 1638.23 |
1638.23 | 405.00 | 2043.23 | 0.00 | 2043.23 |
2043.23 | 405.00 | 2448.23 | 36.72 | 2484.95 |
2484.95 | 405.00 | 2889.95 | 0.00 | 2889.95 |
2889.95 | 405.00 | 3294.95 | 0.00 | 3294.95 |
3294.95 | 405.00 | 3699.95 | 55.50 | 3755.45 |
3755.45 | 405.00 | 4160.45 | 0.00 | 4160.45 |
4160.45 | 405.00 | 4565.45 | 0.00 | 4565.45 |
4565.45 | 405.00 | 4970.45 | 74.56 | 5045.00 |
Bonus
Year | Amount | PVF@4% | DCF |
0 | 7 | 1.000 | 7.000 |
1 | 0 | 0.962 | 0.000 |
2 | 7 | 0.925 | 6.475 |
3 | 7 | 0.889 | 6.223 |
4 | 7 | 0.855 | 5.985 |
5 | 7 | 0.822 | 5.754 |
6 | 7 | 0.790 | 5.530 |
7 | 7 | 0.760 | 5.320 |
8 | 7 | 0.731 | 5.117 |
9 | 7 | 0.703 | 4.921 |
10 | 7 | 0.676 | 4.732 |
11 | 7 | 0.650 | 4.550 |
12 | 7 | 0.625 | 4.375 |
13 | 7 | 0.601 | 4.207 |
14 | 7 | 0.577 | 4.039 |
15 | 7 | 0.555 | 3.885 |
16 | 7 | 0.534 | 3.738 |
17 | 7 | 0.513 | 3.591 |
18 | 7 | 0.494 | 3.458 |
19 | 7 | 0.475 | 3.325 |
20 | 7 | 0.456 | 3.192 |
21 | 7 | 0.439 | 3.073 |
22 | 7 | 0.422 | 2.954 |
23 | 7 | 0.406 | 2.840 |
24 | 7 | 0.390 | 2.731 |
25 | 7 | 0.375 | 2.626 |
26 | 7 | 0.361 | 2.525 |
Lump Sum Payment | 112.165 |