PLEASE EXPLAIN FULLY STEP$-$BY$-$STEP DO NOT SOLVE USING EXCEL OR A CALCULATOR. NO FUNNY EQUATIONS. THE ANSWER IS $$411\mathrm{.}99$ JUST NEED TO KNOW HOW THEY GOT THAT THANK YOU. Rosenworcel Corp. has a $$1,000$ par value bond with a $5\%$ coupon rate $($paid semiannually$)$ and a fifteen$-$year maturity. Let's assume that the market believes the Yield to Maturity on this bond should be $6\%.$

What would be the price of a similar, just$-$issued bond with a zero coupon?

a$)$ $$411\mathrm{.}99$

b$)$ $$417\mathrm{.}27$

c$)$ $$572\mathrm{.}30$

d$)$ $$672\mathrm{.}97$