Mrs. Esposito wants to draw a pension in 30 years that matches today's purchasing power of $1,800. At 3 % inflation the required nominal amount rises; based on that she calculates her capital need for a 22-year pension at 4 %.
ℹ Preliminary step: $1,800 today is compounded at 3 % over 30 years to the pension amount used here; from that the present value of the 22-year pension phase.
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An inflation-proof pension costs many times the nominally equal one. Without an inflation adjustment you systematically plan too tightly and end up in old age with too little.
The present value reverses compound interest: each future pension payment is discounted because a dollar in 20 years is worth less today. The sum of all these discounted payments is the capital that must suffice at the start of retirement. Takeaway: behind a small monthly pension sits a large pool of capital.
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