4. Suppose there is a bond with a 12% yield, 10% coupon rate, $1,000 face value, and 1.5-year maturity.
Compute the duration, convexity measure, duration-implied prices, and duration-and-convexity implied prices for this bond. (30 points.)
(Note: I recommend calculating the true duration and convexity, then using numerical derivatives to double-check that your duration and convexity estimates are correct.)
Duration:
Convexity measure:
(New) Yield	Actual price	D-implied price	DX-implied price
10%	$1,000.000
12%	$973.270
14%	$947.514	$947.034	$947.521