You are analyzing an investment in relation to treasury bonds. Over the next five years, you observe the following prices for a series of one$-$year treasury bonds:

Year $1$: $$980($to mature at $$1,000$ in one year$)$

Year $2$: $$970($to mature at $$1,000$ in one year$)$

Year $3$: $$960($to mature at $$1,000$ in one year$)$

Year $4$: $$950($to mature at $$1,000$ in one year$)$

Year $5$: $$940($to mature at $$1,000$ in one year$)$

Given another investment that promises the following cash flows over the same five years, and using the risk$-$free rates you just calculated:

Year $1$: $$1,100$

Year $2$: $$1,200$

Year $3$: $$1,150$

Year $4$: $$1,300$

Year $5$: $$1,250$

Calculate the present value of these cash flows.