You would like to establish a trust fund that would provide annual scholarships of $$100,000$ forever. How much would you have to deposit today in one lump sum to achieve this goal if you can earn a guaranteed $4\mathrm{.}5$ percent rate of return?

Multiple Choice

$$1,678,342$

$$1,800,000$

$$2,413,435$

$$1,620,975$

$$2,222,222$