PRESENT-VALUE AT DEFAULT QUESTION

In 2017, you purchased a 5-year 100 bp semi-annual coupon bond from AvalonBay Communities Inc at 101.4463 (YTM = 35.742 bp). At that time, you also purchased CDS on the bond whose premium was 70 bp (APR) of the bonds principal (quarterly settlement, annuity due). Calculate the market value of default risk on AvalonBays bond when you purchased the CDS. It is the amount of money the market is willing to pay to remove any default risk. (Assume that there is no default in your calculation. Use the YTM as your discount rate. You may use the following annuity formula).