Your wealthy great aunt is going to help you finance the purchase of your first apartment. She will lend you $$90,000$ today. You agree to pay her $5$ equally sized payments. The $1$st payment will be $1$ year from today, and $4$ more payment will follow every $3$ years $($so payments at the end of $1,4,7,10,$ and $13).$ If the interest rate she charges is an effective annual rate of $2\mathrm{.}30\%,$ how much will each payment be$?$