$1.$ You expect to receive $$1,000$ in one year, $$2,000$ in three years, and $$1,500$ in five years. Assume that the appropriate discount rate is $13\%.$

a$.$ Display these cash flows in a spreadsheet using the layout of a time line. Enter all period numbers $($up to year $5)$ in one row, and the expected cash flows in the next row.

b$.$ What is the present value of these expected cash flows?