Calculating Bank Discount Yield Through BEY

Came across this question today in one of the mocks (i dont know which one) today

BEY=6.5%, Days to Maturity=180. Bank Discount Yield? Can anyone help?

EAY = (1+BEY/2)2 _1= 6.61%

EAY = (1+HPY)365/t _1 this implies HPY= 3.21%

MMY = HPY 360/t = 6.41%

MMY = 360 BDY/(360-BDY (t)) this implies BDY = 6.21%

whats the answer?


thats a tricky one