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1) What is the relationship between discounting and compounding?
2) Compute the following:
a) You invest $16,000 today at 9 percent per year. How much will you have after 15 years?
b) What is the current value of $130,000 after 10 years if the discount rate is 12 percent?
c) You invest $3,500 a year (at the end of a period) for 20 years at 11 percent. How much will you have after 20 years?
3) How much should you set aside each year (end of the period) to accumulate $80,000 after 15 years? The interest rate is 10 percent.
*Use the PV-FV tables to solve all problems and show how you arrived at your answer.
Consider an investment that costs $70 000. If the investment returns cash flows of $10 000 in the first year and the cash flows increase by 35% each year, when will the initial investment costs be recovered?
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