A company has invested in machinery that is expected to produce $$6,450,$ $$7,225,$ $$7,500,$ and $$7,500$ respectively, at the end of the next four years. The cash flows will then be invested in a contract earning a rate of return of $10\%.$ What is the expected future value of the account $($end of the $4$th year$).$

A$.$ $$31,770$

B$.$ $$32,020$

C$.$ $$34,150$

D$.$ $$33,077$

A pension fund is considering making an investment that will pay $$14,000,$ $$16,500,$ and $$20,000,$ respectively, at the end of the next three years. The investment needs to produce a return of $14\%.$ What is the present value of these cash flows to the Pension? $($Round to the nearest dollar.$)$

A$.$$$38,476$

B$.$ $$36,022$

C$.$$$41,675$

D$.$$$39,208$

An insurance company has a contract which guarantees cash flows of $$40,250$ at the end of each year for the next five years. A company is considering buying the contract but requires a discount rate of $15\%$ on its investments. What is the present value of this investment to the company? $($Round to the nearest dollar.$)$

A$.$ $$124,868$

B$.$ $$186,250$

C$.$ $$134,924$

D$.$ $$101,766$

A new college graduate is looking to save for retirement. The graduate will invest $$4,500$ at the end of each year for the next $45$ years in a portfolio that is expected to earn $10\%$ a year. How much will the investor have at the end of $45$ years? $($Round to the nearest dollar.$)$

A$.$ $$2,667,904$

B$.$ $$3,594,524$

C$.$ $$5,233,442$

D$.$ $$3,235,072$