At a glance
Opportunity cost · Levers differ in how much control you haveLevers differ in how much control you have. Markets set many rates;…
Opportunity cost · Future value (annuity-ish savings)With regular end-of-period contribution C: FV ≈ C × [((1+r)^n − 1) / r] when…
Opportunity cost · Lump sum path€10,000 at 6% for 20 years → about €32,100 before fees/tax. Halve the rate to…
Opportunity cost · Fee wedgeA 1% annual fee on a 7% gross path leaves ~6% net — over 30 years the…
With regular end-of-period contribution C: FV ≈ C × [((1+r)^n − 1) / r] when r ≠ 0. r_real ≈ r_nominal − i, with i the inflation rate; prefer the Fisher form for precision.
Opportunity cost · Levers differ in how much control you have
Levers differ in how much control you have. Markets set many rates; households set savings rates, fee tolerance and whether they stay invested. The useful math is small: compound growth, present value, and adjustments for fees or inflation. Complexity usually arrives from products, not from the core identities.
Opportunity cost · Future value (annuity-ish savings)
With regular end-of-period contribution C: FV ≈ C × [((1+r)^n − 1) / r] when r ≠ 0. r_real ≈ r_nominal − i, with i the inflation rate; prefer the Fisher form for precision.
Opportunity cost · Lump sum path
€10,000 at 6% for 20 years → about €32,100 before fees/tax. Halve the rate to 3% and the same horizon yields roughly €18,100. €300 monthly at 5% for 25 years is on the order of €175k contributed-plus-growth (illustrative; timing conventions vary).
Opportunity cost · Fee wedge
A 1% annual fee on a 7% gross path leaves ~6% net — over 30 years the terminal gap versus a 0.1% fee is large, not “one percent”. 8% nominal with 3% inflation is roughly 5% real — the statement can look rich while purchasing power compounds slower.
These figures describe codes, history, or a teaching calculator. They are not a live exchange rate or investment advice. They do not replace the full topic page.
Questions
- What is the next question after this?
- €10,000 at 6% for 20 years → about €32,100 before fees/tax. Halve the rate to 3% and the same horizon yields roughly €18,100. €300 monthly at 5% for 25 years is on the order of €175k contributed-plus-growth (illustrative; timing conventions vary).
- Does this page rank people or nations?
- These figures describe codes, history, or a teaching calculator. They are not a live exchange rate or investment advice. They do not replace the full topic page.
- Where is the longer entry?
- A 1% annual fee on a 7% gross path leaves ~6% net — over 30 years the terminal gap versus a 0.1% fee is large, not “one percent”. 8% nominal with 3% inflation is roughly 5% real — the statement can look rich while purchasing power compounds slower.
Next question: AI advice caveats · Open the topic: Opportunity cost
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