Got stuck on this question, please help, thanks!

A 10-year bond has face value (redemption value)$150,000 and quarterly coupons of 4%. Consider the time right after the 12th coupon has been paid, when the yield is 6%.

(b)Compute the price of the bond if the yield were to increase by 1 basis point (a basis point is 1/100 of 1%). What is the absolute value of the difference between that price, and your answer to part a)?

(d)Based only on your answer to b), approximately how many basis points (bp) would the yield have to move in order for the bond to increase in value by$477.10?

(Answer as a positive integer.)