SpaceX Climbed Nearly 20% in Its First Day of Trading. Here's Where the Stock Price Will Be in 3 Months, According to History.

SpaceX rose $75 billion last week in the world’s biggest-ever IPO.

The company is heading for “a significant growth phase,” chief Elon Musk says.

SpaceX (NASDAQ: SPCX) advanced more than 19% on Friday, its first day of trading -- and reached a market value of $2.1 trillion. This immediately puts it in the league of the world's biggest tech companies, such as Apple and Microsoft , in the so-called "trillion-dollar" club. SpaceX set its IPO price at $135, the stock opened at $150, and it closed at more than $160. The IPO offers SpaceX a spot in the record books, as it raised $75 billion for the biggest IPO ever.

It isn't uncommon for a stock to soar on its IPO day, and we saw this recently with names such as Cerebras Systems surging 68% on its debut last month and biotech Parabilis Medicines advancing 58% during its first trading day last week. So now, the natural question is: How will SpaceX stock perform in the weeks and months to come? A look at history suggests where the stock price might be in three months...

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First, let's talk a bit about SpaceX and why it's generated so much excitement. SpaceX is led by Elon Musk , who is also the chief of Tesla , and at both companies, Musk is known for his big ambitions and innovations -- for example, at SpaceX, he aims to put data centers in space. Though Musk's roadmap doesn't please everyone, certain major investors, such as Ark Invest and Baron Capital , are supporters and have backed SpaceX since its earlier days.

SpaceX focuses on three businesses: rocket launches, satellite-based connectivity, and artificial intelligence (AI). Today, Starlink, the connectivity service, is the growth engine, generating $4.4 billion in income from operations last year, for a 120% gain year over year. And what's particularly interesting is SpaceX's strengths in rocket launches can serve all of its businesses, as goals across each rely on delivering certain types of equipment to space -- the fact that SpaceX can do this on its own is a big plus, as it offers the company flexibility, control, and a better cost structure.

Musk said on a livestream before the IPO that the company is heading into "a significant growth phase," according to CNBC. One of the plans is to send 100,000 satellites into space for communications.