Leigh Ping$$s parents have just established a trust fund for her on her $9$th birthday. They plan on contributing $$25,000$ today with this amount growing at $6\%$ p$.$a$.$ until $($and including$)$ her $18$th birthday. If her parents expect the trust fund to earn an interest rate of $6\%$ p$.$a$.$ the present value equivalent of this trust today is closest to a$)$ $$225,000.$ b$)$ $$250,000.$ c$)$ $$275,000.$ d$)$ The present value of the trust fund cannot be calculated.