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Cost vs. Present Value Or,
"Figures Don't Lie (But Liars Figure)"
On November 23, 1997, the cost of an annuity producing income of $1,000 per month for 50
years ($600,000) was $198,395. This annuity had an internal rate of return of 6.015%.
Discount factor is the same as rate of return, except working backwards from the income stream. You use the rate of return to determine what X amount of money will produce in income over the next 50
years; you use the discount factor to determine what needs to be invested today to produce Y
amount of income over the next 50 years.
- Using the same variables (discount factor, desired income, and time span) the
present value of this annuity will equal the cost.
- But ... if you assume a discount factor of 0%, the present value on November 23, 1997
becomes $600,000 (equal to the total payout).
- And if you assume a discount factor of 100,000% per month, the
present value is $1.00.
- The cost is still $198,395 on November 23, 1997.
You see? Present value can be anything the presenter wants it to be! |
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