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Harrison Huntingdon Hereford is contemplating placing his $100,000 severance pay into a mutual fund that has averaged an eight percent annual return (Effective Annual Rate, or EAR) for the past thirty years.
Problem a. Assuming that Harrison expects the same 8% annual return for the next twenty years, how much will he have at the end of the twentieth year?
Problem b. A second investment opportunity promised an Annual Percentage Return (APR) of 7.8%, compounded weekly. If Harrison placed his severance pay into this investment, how much would he have at the end of twenty years? Which is better the investment -- the one in part a or part b?
Problem c. What is the EAR of this second investment (to four decimal places)?
Problem d. What APR, compounded daily (365 days in a year), would give Harrison the same 8% EAR of the first investment opportunity in part a (to four decimal places)?
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