Suppose a corporate bond with a coupon rate of $10\%,$ maturing on March $1,2025,$ is purchased with a settlement date of July $17,2023.$ The coupon is paid semi$-$annually. The par value of the bond is $$100.$ The day count convention for this bond is $30/360.$

Part I.

Calculate the price of this bond if its yield$-$to$-$maturity is $6\mathrm{.}5\%($semi$-$annual compounding$).$

Part II$.$

Determine the accrued interest for the bond.

Part III.

Explain the concept of yield$-$to$-$maturity and discuss its limitations in guiding investment decisions.