$2-1$ Calculating present values Calculate the present value of each of the following cash flow streams. Use a discount rate of $10\%.$

a$.$ $$500$ received at the end of five years

b$.$ $$500$ received annually for each of the next five years

c$.$ $$500$ received annually for each of the next fifty years

d$.$ $$500$ received annually for $100$ years

$2-2$ Calculating the internal rate of return Singular Construction is evaluating whether to build a new distribution facility. The proposed investment will cost Singular $$4$ million to construct and provide cash savings of $$500,000$ per year over the next ten years.

a$.$ What rate of return does the investment offer?

b$.$ If Singular were to invest another $$200,000$ in the facility at the end of five years, it would extend the life of the project by four years, during which time it would continue receiving cash savings of $$500,000.$ What is the internal rate of return for this investment?

This needs to be done with a financial calculator ba$2$ plus please!