You're a generous parent and you would like to set up a perpetuity to your kids to receive every year forever. You'd like to start by giving them $$30,000$ next year, and you'd like that amount to grow by $3\%$ forever. Interest rates are at $5\%.$ How much would you have to invest in order to do this?

$$600,000$

$$1,000,000$

$$1,500$

$$1,500,000$