Two projects have equal net present values when calculated using a

$6\%$ annual effective interest rate. Project $1$ requires an investment of

$$20,000$ immediately and will return $$8,000$ at the end of one year and

$$15,000$ at the end of two years. Project $2$ requires investments of $$10,000$

immediately and $X in two years. It will return $$3,000$ at the end of one

year and $$14,000$ at the end of three years. Find the difference in the

net present values of the two projects if they are calculated using a $5\%$

annual effective interest rate.