Question
IS this done correctly? If not please do it and explain it to me. 5. Bridgette wants to retire 32 years from now. She decides
IS this done correctly? If not please do it and explain it to me.
5. Bridgette wants to retire 32 years from now. She decides to start saving $500 each
month into a Roth IRA starting at the end of this month. If the IRA is expected to earn
an average return of 10% annually, how much will she have in the account at the end of
32 years? Round to two decimal places.
Instructions:
You are required to use a financial calculator or spreadsheet (Excel) to solve 10 problems
(provided on page 3) on the applications of the time value of money. You are required to show
the following 4 steps for each problem (sample questions and solutions are provided for
guidance):
(i) Develop the timeline (linear representation of the timing of cash flows)
(ii) Identify the time value of money variable (PV, FV, PMT, N or Rate) which needs to
be calculated in the question.
(iii) Identify the values of the remaining four variables (PV, FV, PMT, N or Rate) from
the question. Be sure to input positive or negative signs.
(iv) Calculate the correct value of the variable identified in step (ii).
Years | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Cash Flow | 0 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 |
Years | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 |
Cash Flow | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 |
Years | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 |
Cash Flow | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | $1,392,562.97 |
ii. PV = 0, FV=?, PMT = $500, I = 10%/12=.83333%, N = 32*12=384 months
iii. The value to be determined is the FV.
iv. FV = $1,392,562.97
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