Smith and Co$.$ has to choose between two mutually exclusive projects. If it chooses project A$,$ Smith and Co$.$ will have the opportunity to make a similar investment in three years. However, if it chooses project B$,$ it will not have the opportunity to make a second investment. The following table lists the cash flows for these projects. If the firm uses the replacement chain $($common life$)$ approach, what will be the difference between the net present value $($NPV$)$ of project A and project B$,$ assuming that both projects have a weighted average cost of capital of $12\%?$

Cash Flow

Project A Project B

Year $0$: $$$$17,500$ Year $0$: $$$$45,000$

Year $1$: $10,000$ Year $1$: $10,000$

Year $2$: $16,000$ Year $2$: $17,000$

Year $3$: $15,000$ Year $3$: $16,000$

Year $4$: $15,000$

Year $5$: $14,000$

Year $6$: $13,000$

$$8,129$

$$12,506$

$$13,757$

$$10,005$

$$10,630$