"A rich donor gives a hospital $$100000$ one year from today. Each year after that, the hospital will receive a payment $1\%$ larger than the previous payment, with the last payment occurring in $7$ years' time. What is the present value $($PV$)$ of this donation, given that the interest rate is $3\%?$ Note: Express your answers in strictly numerical terms. For example, if the answer is $5\%,$ enter $0\mathrm{.}05$ as an answer."