It is March 10, 2016. The price of a Treasury bond with an 8% coupon that matures on June 30, 2030, is quoted as 102-04. What is the cash price?
Solution:
The number of days from the last coupon date 31/12/2015 to 10/3/2016 is 70 (considering 29 days for February month). There are 182 days from December 31, 2015 and June 30, 2016.
Cash price of bond = Accrued Interest + Quoted price
Cash price of bond = (8/2)*(70/182) + 102.125
Cash price of bond = 1.538 + 102.125
Cash price of bond = $103.663
Hence the cash price is $103.663
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