$4.$ If an A Rated Corporate Equipment Trust Certificate $($asset backed$)$ with a coupon rate of $5\mathrm{.}4\%$ and YTM of $5\mathrm{.}8\%$ has a maturity date of $9/20/35,$ what would its price be $($assuming semiannual coupons$)?$

Using the coupon rate above, if this $11$ year bond experienced a $0\mathrm{.}40\%$ increase in YTM$,$ what would its new present value be$?$ What do your results tell you about the relationship between price and YTM$...$and how the length to maturity affects the sensitivity of a bond$$s price?