amount of annuity $$12000$ Interest rate $7\%$ period in years $3$

a$.$Calculate the present value of the annuity assuming that it is

$(1)$ An ordinary annuity.

$(2)$ An annuity due.

b$.$Compare your findings in parts a$(1)$ and a$(2).$ All else being$$ identical, which type of annuitylong dashordinary or annuity duelong dashis $$preferable$?$ Explain why.