Using the compound interest tables, answer each of the following questions.
Required:
a.Assuming that $100,000 to be paid at the end of ten years has a present value today of $50,834.90, what interest rate compounded annually is used in the calculation of the present value?b.What amount must be deposited today if $200,000 is to be accumulated six years from today, and interest at 12% is compounded semiannually?
What will be an ideal response?
a. | ?i =7.0% | |
b. | PV | = FV× (fn = 12, i = 6%) |
= $200,000.00 × 0.496969 | ||
= $ 99,394. |
?
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Taylor would like to retire on December 31, 2026, and take a trip around the world. In order to do this, she feels she must accumulate $200,000 in her retirement account by that date. She is willing to deposit a certain amount each year into her retirement account, which earns 12% interest compounded annually. Taylor will make the first deposit on December 31, 2017, and the last deposit on December 31, 2026. ? Required: ? Determine the amount Taylor must deposit into her retirement account each year. Clearly label all work.
What will be an ideal response?