Dante purchase two perpetuities, X and Y$,$ that have the exact same value to him today: $-$ Perpetuity X will pay him $$1,000$ every $2$ years, with the first payment $2$ years from today. $-$Perpetuity Y will pay him $Cy every $3$ years, with the first payment $1$ year from today. Dante views both payments as equally risky and so uses the same effective annual rate of $6\mathrm{.}00\%$ to discount both assets. What is the value of Perpetuity's Y cash flow, $Cy$?$