the answer to this question should stem to the concept time value of money.
asume the maturity of government debt is 1 year. Right now the price of this debt is at par 100 (asumming rate is 5%) so that the coupon is also 5% (by definition price at par).
this debt means you invest 100 today and effectively receive 100 back one year later. Y=(100+5)/(1.05)
however if today's price decrease (Y is less than 100), which means demorminator become bigger, which is yield increase (more than 5%). this should explain why the price decrease and yield increase...
It is general rule/concept for fixed income instrument.
Hope my explanation is helpful. Thnak you for reading.
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