Maria Smith has saved $257000 for her retirement. It is invested in an annuity that pays 12%. Maria wishes to make equal semi-annual withdrawals over the next 10 years, beginning 6 months from now. How much can she withdraw each period without exhausting her initial investment? PV Annuity due 12% PV Annuity due 6% PV Ordinary annuity 12% PV Ordinary annuity 6% Time periods 10 20 10 20 Factor 6.32825 12.15812 5.65022 11.46992

FINANCIAL ACCOUNTING
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ISBN:9781259964947
Author:Libby
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Chapter1: Financial Statements And Business Decisions
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Maria Smith has saved $257,000 for her retirement. It is invested in an annuity that pays 12%. Maria wishes to make equal semi-annual withdrawals over the next 10 years, beginning 6 months from now. How much can she withdraw each period without exhausting her initial investment?

|                                | Time periods | Factor  |
|-------------------|--------------|---------|
| PV Annuity due 12%       | 10               | 6.32825  |
| PV Annuity due 6%         | 20              | 12.15812 |
| PV Ordinary annuity 12% | 10              | 5.65022   |
| PV Ordinary annuity 6%   | 20              | 11.46992  |

Options:
- $21,138.
- $22,406.
- $40,612.
- $45,485.

Explanation:
The table above provides factors for present value calculations of annuities. The factors are applicable for either an annuity due or an ordinary annuity, each with specified interest rates and time periods.

To find Maria's periodic withdrawal amount, you need to match the correct factor from the table with the conditions of her investment for proper calculations. This example is crucial for understanding how to manage withdrawals from retirement savings without depleting the principal investment.
Transcribed Image Text:Maria Smith has saved $257,000 for her retirement. It is invested in an annuity that pays 12%. Maria wishes to make equal semi-annual withdrawals over the next 10 years, beginning 6 months from now. How much can she withdraw each period without exhausting her initial investment? | | Time periods | Factor | |-------------------|--------------|---------| | PV Annuity due 12% | 10 | 6.32825 | | PV Annuity due 6% | 20 | 12.15812 | | PV Ordinary annuity 12% | 10 | 5.65022 | | PV Ordinary annuity 6% | 20 | 11.46992 | Options: - $21,138. - $22,406. - $40,612. - $45,485. Explanation: The table above provides factors for present value calculations of annuities. The factors are applicable for either an annuity due or an ordinary annuity, each with specified interest rates and time periods. To find Maria's periodic withdrawal amount, you need to match the correct factor from the table with the conditions of her investment for proper calculations. This example is crucial for understanding how to manage withdrawals from retirement savings without depleting the principal investment.
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