The current price of the bond is $1097.40.
The current price is a function of the coupon payments, par value and the YTM.
Coupon payment = (5.4%/2) x $1000 = $27
Par value = $1000
YTM = 4.5% / 2 = 2,25%
Current price = (27 / 1.0225) + (27 / 1.0225^2) + (27 / 1.0225^3) + (27 / 1.0225^4) + (27 / 1.0225^5) + (27 / 1.0225^6) + (27 / 1.0225^8) + (27 / 1.0225^9) + (27 / 1.0225^10) + (27 / 1.0225^11) + (27 / 1.0225^12) + (27 / 1.0225^13) + (27 / 1.0225^14) + (27 / 1.0225^15) + (27 / 1.0225^16) + (27 / 1.0225^17) + (27 / 1.0225^18) + (27 / 1.0225^19) + (27 / 1.0225^20) + (27 / 1.0225^21) + (27 / 1.0225^22) + (27 / 1.0225^23) + (27 / 1.022524) + (27 / 1.0225^25) + (27 / 1.0225^27) + (27 / 1.0225^28) + (27 / 1.0225^29) + (27 / 1.0225^30) + (1000 / 1.0225) = $1097.40
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