Q3. With t measured in years, an annuity makes payments Pt at the following continuous rates: 3t 6, 2

Q3. With t measured in years, an annuity makes payments Pt at the following continuous rates: 3t-6, 54-2t, 12 < t < 27 Given i = 0.075, what is the PV of this annuity at time 0? (Hint: find PV of the first increasing part at time t = 2 and then adjust to time t = 0; find PV of the second decreasing part at time t = 12 and then adjust to time t = 0)