AHV pension depends on these two parameters:

1) average salary/income on which you paid AHV during your years of contributions to AHV system. It's capped at 84600 CHF - if you've made at least that much on average (making $3.8M+ in any single year and contributing bare minimum in others will suffice) you're in principle entitled to the maximum AHV pension, 2390 CHF per month currently.

2) number of full years of AHV contributions. You're supposed to contribute for 44 years to get that maximum pension. If you contributed less, your pension gets pro-rated: 2390*(#years)/44 per month.

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| would the year 1 be capped so that you get somewhere near the minimum AHV entitlement? | |

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For 1 year of contributions in total, even if you took $100M salary, you can get at most 2390/44 = 54 Fr per month pension from the state. You would still be expected to contribute $100M * 5.3% * 2 on that $100M salary - the salary cap is only on payouts, but not on pay-ins! They call it solidarity...