Suppose that you are considering an investment product that promises to pay $$2,000$ at the end of each year for the next five years. Assume that a discount rate of $12\%$ is applicable to similar investment alternatives.

A$.$ How much would you be willing to pay for the investment product?

B$.$ Consider another investment product that promises to pay $$1,000$ every six months for the next five years, with the first payment to be made in six months from today. Applying the same discount rate, how much would you pay for this product?