Dante purchase two perpetuities, X and Y$,$ that have the exact same value to him today: $-$ Perpetuity X will pay him $$1,000$ every $2$ years, with the first payment $2$ years from today. $-$Perpetuity Y will pay him $Cy every $3$ years, with the first payment $1$ year from today. Dante views both payments as equally risky and so uses the same effective annual rate of $6\mathrm{.}00\%$ to discount both assets. What is the value of Perpetuity Y$\text{'}$s cash flow, $Cy$?$ The correct answer is one of the $5$ choices: A$)$ $$1,545\mathrm{.}44,$ B$)$ $$1,736\mathrm{.}45,$ C$)$ $$1,638\mathrm{.}16,$ D$)$ $$1,457\mathrm{.}96,$ or E$)$ $$1,375\mathrm{.}43$