$9.$The Cash value of a lease requiring payments of $$1367\mathrm{.}00$ at the beginning of every three months for $9$ years is $$99,000$ if the payment starts after $2$ years of lease date. If the rate of interest corresponding to $2\%$ compounded annually, Identify the type of annuity?

a$)$ Ordinary Simple annuity

b$)$ Simple annuity due

c$)$ Deferred general annuity due

d$)$ Deferred simple annuity due