Using finance principles and compounding all bond semi annually:Consider a bond selling at par $($$$100)$ with a coupon rate of $6\%$ compounded semiannually and $10$ years to maturity.$($a$)$ What is the price of this bond if the required yield is $15\%?($b$)$What is the price of this bond if the required yield increases from $15\%$ to $16\%,$ and by what percentage did the price of this bond change?$($c$)$ What is the price of this bond if the required yield is $5\%?($d$)$What is the price of this bond if the required yield increases from $5\%$ to $6\%,$ and by what percentage did the price of this bond change?$($e$)$ From your answers to parts b and d$,$ what can you say about the relative price sensitivities of a bond in a high$-$interest$-$rate environment compared to a low$-$interest$-$rate environment?