So you have 7k$$7k in deferred income and 107k$$107k. No taxes have been paid. This is important, as deferred taxes are amazingly powerful.
You pay 0.4% to the index fund. So you actually have 106$106.6k$6k, and have a future tax liability of 6$6.6k$6k. Costs to invest are costs, not paid for out of taxable income.
Now, you paid a commission. The thing is, you only pay that once, and it too is deductible. YouYou have 106$106.456k$456k.
You have 6456$$6,456 in future tax liability and 106456$$106,456 after 1 year.
It is true you could have put the money in a bank. That money in the bank would earn 1k$$1k and be taxable immediatly at 40% (interest is usably higher taxed), leaving you with 100$100.6k$6k after one year and no future tax liability.
You have a 6.6% return (after index fund fees), that compounds to 89.48%. You invested 100k and spend 144$$144 on commission, so you started with 99856$99,856 and end with 189207$189,207.15 10 years from now and a 89207$89,207.15$15 tax liability.
You liquidate and pay 25% taxes on your profits leaving you with 166905$166,905.36.
Inflation of 3% per year means its value is actually 1/1.344 smaller than it is; it is worth 124185$124,185.54 in "todays""today's" dollars, or 2.4k per year.
Meanwhile, your option with the bank account. You earn 1% but pay 40% taxes each year, earning you 0.6% after tax. 100 $100,000$000 * 1.006^10 is 106164$106,164.62, an after-tax profit of 6164$6164.92. Sadly, inflation also eats into this, leaving you with 78991$78,991.53 equivalent in todaystoday's dollars.
So after 10 years you ended up with 24k$$24k free and clear in todaystoday's dollar value, plus your initial store of value back, and you have 45k$$45k more (in todaystoday's value) than if you put it in a savings account.
Instead you do it over 20 years you have 358524$358,524.02$02. You liquidate and pay 64631$64,631.01$01 in taxes, leaving you with 293893$293,893.01. 20 years of 3% inflation means it is worth 1/1.806 as much as it seems, or 162721$162,721.43$43 in today's value. You clear 62$62.7k in valid over 20 years, or 3$3.1k per year.
You have 100$100,000$000 in post-tax money, which is 166666$$166,666 in pre-tax money.
It grows by 6.6% per year for 20 years to 598401$598,401.71.
You liquidate paying 40% tax and have 359041$359,041.03.
After inflation this is 198792$198,792.31, or 4$4.9k$9k per year, post-tax.