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current yield = coupon payment/current market price
coupon payment = 5% of 1,000 = 50
If the current yield is 4.5%, then
Current market price = 50/4.5%
when the market yield rises to 6% then,
Market price = 50/6%
Change in the price of the bond ($1,111.11 - $833.33) is a decrease of $277.78