You are considering investing in a $10-$year zero coupon bond that compounds interest semi$-$annually. The face value of the bond is $$1,000.$ If the current market rate is $5\mathrm{.}40$ percent, what is the maximum price you should have to pay for this bond? $($Round intermediate calculations to $5$ decimal places, e$.$g$.1\mathrm{.}25145$ and final answer to $2$ decimal places, e$.$g$.52\mathrm{.}75.)$

Maximum price to be paid $