Select all the statements on perpetuities that are correct.

a. The present value of a perpetuity increases if the interest rate increases.

b. If I multiply the present value of a perpetuity with the interest rate then I get the value of a single payment of the cashflow stream.

c. The present value value of a perpetuity is independent of the interest rate.

d. The present value of a perpetuity is infinite as all the payments add up to infinity.

e. A perpetuity describes a constant cashflow at the end of each year that continues infinitely long.