US Open women’s semifinals: Aryna Sabalenka faces Emma Navarro, Jessica Pegula plays Karolina Muchova

Despite an easy fourth-round win over Diana Shnaider, something had irritated Jessica Pegula.

“The most annoying thing is that people think I have a butler,” the 30-year-old American said on Monday.

“That I have a driver. That I have a private limousine. That I travel everywhere in a private jet.

“I’m definitely not like that.”

Misconceptions about his lifestyle stem from his family’s wealth. According to Forbes magazine, his father Terry, an oil and gas tycoon, is worth $7.7 billion (£5.9 billion), making him the 371st richest person in the world.

She’s not the only billionaire’s daughter to make the final four of the US Open on Thursday.

On the other side of the table is Emma Navarro. Her father Ben owns a credit card empire and, according to Forbes, his fortune is worth $1.5 billion (£1.1 billion).

Those are figures that even dwarf the Flushing Meadows champion’s $3.6 million (£2.7 million) prize money – the biggest cash prize in tennis.

But there’s still a ways to go before Pegula and Navarro can sign up for a big-budget, all-American box-office battle for the title.

Two-time Australian Open champion Aryna Sabalenka, the highest seed remaining, showed solid form en route to her meeting with Navarro, while outsider Karolina Muchova has a happy habit of claiming big scalps as she prepares to face Pegula.

BBC Sport looks at the form and stories of the four semi-finalists.