800 Guy wrote:
Present Value of Future Cash Flow Analysis:
Scenario #1 - Lump Sum of $120 million after tax
Assumptions:
Investment Rate of Return - 6.5%
Disount Rate - 4.5% (30-Year T-Bond)
Taxes - 50%
Result:
Present Value of Interest Cash Flow (30 years) - $63.53 mil
Present Value of $120 remaining investment @ 30 yrs - $32.04 mil
Combined Present Value - $95.57 million
Scenario #2 - $365 million paid over 30 Years
Assumptions: Straight-line annuity
Discount Rate - 4.5% (same as above)
Taxes - 50% (same as above)
Result:
Present Value of 30 Year annuity - $99.09 mil
Summary:
Based on these scenarios, it appears that an average investment rate of 6.5% results in an approximately equal present value between the two options.
Another poster stated that the annuity is not straight-line, as assumed in my calculation. I assumed straight-line, as I did not know the rate at which the annuity payments would increase. The impact of this would result in a lower Present Value on option #2, as payments in later years are worth less than payments today. If the annuity's cash flow stream is weighted toward later years (lower values), this obviously lowers the overall present value of the option. Due to this, the difference between the two scenarios is smaller than presented above, which is why I indicate the scenarios are approximately equal. Without knowing the exact rate of annuity payments increases, this statement is admittedly a leap of faith, but I think it is reasonable to assume the impact would be not much greater than the $3.5 million difference between the scenarios.