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Hi, i just dont understand how does 50/183 happened. b. An Australian Government bond matures on 15 June 2022 and pays coupons of 5.75 p.a.

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Hi, i just dont understand how does 50/183 happened.

b. An Australian Government bond matures on 15 June 2022 and pays coupons of \5.75 p.a. payable semi-annually. Assuming an investor held this bond from 4 August 2019 to 4 August 2021, what is the holding period yield for this bond? Assume the investor purchase and sale price was \\( \\$ 100.05 \\) and \\( \\$ 101.85 \\) respectively, with a yield to maturity of \4 p.a. \beginarrayl100.05left(1+fracHPY2right)4=101.85+2.875left(1.023+frac50183+1.022+frac50183+1.021+frac50183+1.02frac50183right)=113.76HPY=2left(left(frac113.76100.05right)frac141right)=6.53

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