$13.)$You find a zero coupon bond with a par value of $$10,000$ and $24$ years to maturity. The yield to maturity on this bond is $4\mathrm{.}6$ percent. Assume semiannual compounding periods. What is the price of the bond? $($Note: Zero coupon bond mean $0\%$ coupon rate$).$

$$5,781\mathrm{.}89$

$$2,893\mathrm{.}67$

$$3,357\mathrm{.}14$

$$1,257\mathrm{.}23$