April 23rd, 2014, 10:03 am
I thought Tbills were 91 days but lets assume that they are 90 days. So we have cash Tbill with 118 days left yielding 9% pa and a 90 day Tbill futures contract expiring in 28 days with an implied yield of 7.44% so we need to figure out the break even yield at which we can borrow at for 28 days then for 90 days so we can lend for 118 days.the implied cash tbill price starting in 28 days (implied from the Tbill futures quote of 92.56) is 98.1193 (100-(100-92.56)*91/360). the price of the 118 day cash Tbill with a yield of 9% is 97.05 (100 - 9%*100*118/360)the price of the 28 day cash tbill is therefore 100*(97.05/98.1193) = 98.9102the implied yield for 28 days is therefore (100-98.9102)*360/28 = 14.01%
knowledge comes, wisdom lingers