A generous benefactor to the local ballet plans to make a one-time endowment which would provide the ballet with 150,000 per year into perpetuity. The rate of interest is expected to be 5 percent for all future time periods.
How large must the endowment be?
A) 300,000
B) 3,000,000
C) 750,000
D) 1,428,571
Question 2
The present value of a lottery received as an annuity due is less than the present value of a lottery whose cash flows are received as an ordinary annuity.
(Assume that the interest rate used to discount the cash flows is positive and equal between the two choices and that the magnitude and number of cash flows are equal for the two choices. Only the timing of the cash flows differs between the two choices.)
Indicate whether the statement is true or false.