If you have a bond with face value $100 coupon rate 9% and YTM 6% semiannual and

If you have a bond with face value $100 coupon rate 9% and YTM 6% semiannual and 20 years to maturity . If YTM changes by 20 bp calculate the approximated convexity.
If you have a bond with yield-to-maturity 8%. The approximate modified duration is 9 and approximate convexity is 105. What is the estimated Delta in price resulting from a 100 bps decrease in the yield-to-maturity? How much of that adjustment is due to convexity?
If you have a bond with $1000 face value pays annual coupon rate 6% with YTM 6% and 3 years to maturity calculate the Macaulay duration. If YTM for the same bond changes to 10% what is the new Macaulay duration and what is your takeaway from this change?
If Macaulay duration is 10 and YTM is 8% for a semiannual bond what is the modified duration?
If the modified duration is 6.8 and YTM dropped by 75bp, and bond is selling at its face value of $1000 what is the projected new price?
Rework class problems on your own and compare the solutions.
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