Answer: Macaulay Duration = 2.6908154485 = 2.69
Explanation:
Macaulay Duration = Sum of Cash flows Present Value/ current bond price
Cash flows: year 1 = $12
Cash flows: year 2 = 12
Cash flows: year 3 = 100 + 12 = 112
Sum of Cash Flow PV = (1×12÷ (1.118)^1) + (2×12÷ (1.118)^2) +(3×112÷(1.118)^3)
Sum of Cash Flow PV = 270.37857712
Current Bond Price or Value = Face Value/ (1+r)^n + PV of Annuity
Current Bond Price or Value = 1000/ (1.118)^3 + (30×(1 - (1+0.118)^-3)/0.118
Current Bond Price or Value = 100.48202201
Macaulay Duration = 270.37857712 ÷ 100.48202201
Macaulay Duration = 2.6908154485 = 2.69
