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Marian Kirk wishes to select the better of two 15-year annuities, C and D. Annuity C is an ordinary annuity of $3,500 per year for 15 years. Annuity D is an annuity due of $3,200 per year for 15 years.
i. Find the future value of both annuities at the end of year 10, assuming that Marian can earn (1) 12% annual interest and (2) 22% annual interest.
ii. Use your findings in part (i) to indicate which annuity has the greater future value at the end of year 15 for both the (1) 12% and (2) 22% interest rates.
iii. Find the present value of both annuities, assuming that Marian can earn (1) 12% annual interest and (2) 22% annual interest.
iv. Use your findings in part (iii) to indicate which annuity has the greater present value for both (1) 12% and (2) 22% interest rates.
v. Briefly compare, contrast, and explain any differences between your findings using the 12% and 22% interest rates in parts (ii) and (iv).
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