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comparing three investments, all of which pay $$100$ a month and have an interest rate of $8$ percent. One is ordinary annuity, one is an annuity due, anding estment is a perpetuity. Which one of the following statements is correct given these three investment options?

altiple Choice

To be the perpetuity, the payments must occur on the first day of each monthly period.

The future value of all three investments must be equal.

The present value of the perpetuity must be higher than the present value of either the ordinary annuity or the annuity due$-$

The ordinary annuty would be more valuable than the annuity due if both had a life of $10$ years