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(Related to Checkpoint 6.4) (Present value of a perpetuity) What is the present value of a $6,000 perpetuity discounted back to the present at 15 percent? The present value of the perpetuity is $ (Round to the nearest cent.) (Present value of an annuity due) Determine the present value of an annuity due of $6,000 per year for 25 years discounted back to the present at an annual rate of 12 percent. What would be the present value of this annuity due if it were discounted at an annual rate of 17 percent? a. If the annual discount rate is 12 percent, the present value of the annuity due is $ (Round to the nearest cent) (Related to Checkpoint 6.5) (Present value of a growing perpetuity) What is the present value of a perpetual stream of cash flows that pays $1,500 at the end of year one and the annual cash flows grow at a rate of 4% per year indefinitely, if the appropriate discount rate is 8% ? What if the appropriate discount rate is 6% ? a. If the appropriate discount rate is 8%, the present value of the growing perpetuity is $ (Round to the nearest cent.)