You want to buy a house in your dream city $30$ years from today and fund your retirement after that.

Assume that the house will cost you $$2,000,000($at $t=30$ years$).$

You also require $$100,000$ annually for living expenses in your retirement for $20$ years after that, i$.$e$.,$ from $t=31$ to $t=50$ years.

You plan to make equal quarterly deposits for the next $30$ years.

The interest rate is $6\mathrm{.}00\%$ per year, compounded quarterly?

Compute the quarterly deposit amounts you will need to make for the first $30$ years, in order to fulfill your requirements of buying the house and th$$ retirements from years $31$ to $50.$