Q$4.$ Assume bond in Muscat stock market pays $10$ percent annual coupon rate and has face value of$100$ OMR. The maturity yield on this bond is $10$ percent and maturity date $10$ years. This bond has modified duration of $6\mathrm{.}5$ years. If the current market price is $120\mathrm{.}72.$ Calculate the expected change in the bond price if the current yield to maturity is expected to increase to $11\mathrm{.}5$ percent.