How to invest your first 100k?

You can put in many ways

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1. t-bills
2. fixed deposit whether it's from the bank or short term insurance plan or cashplus moomoo/Webull/POEM etc
3. invest in stocks/unit trust either by yourself or like use many platforms to help you
4. examples: stashaway, syfe, endows, Mari invest or banks also offer such as OCBC bluechip plan etc.

it all depends on your risk tolerance and appetite

I am starting to put more of my money in robo-advisor as return is better than when I invested on my own.

Given your age and time horizon to invest for the long term, you can consider buying into S&P500 ETF e. g. VOO. But suggest to stage it out for dollar cost averaging purpose.

Giving advice from a 26-year-old achieving my first 100k through employment and investing. I only recently started investing in my own business.

The fact that you have achieved 100k in cash at 26 as a self-employed, I assume your business is doing pretty well.

You should reinvest the money in your business. Figure out how you can use the 100k to grow the business.

If your intention is to diversify, you can scale horizontally geographically or by targeting new client demographics.

If the amount isn't enough to do these, consider looking for investors.

You can also consider looking for a business coach.