Tick all those statements on perpetuities that are correct.

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

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 of a perpetuity increases if the interest rate increases.

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

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