Changing the settings could bring in $50 million to $100 million annually for New Zealand growth companies, Hamilton said.
Joyce said the Government was open to changing the requirements around investor visas.
"The balance will be in to what extent you can direct that investment without putting people off," he said. "It's a balancing act."
Joyce said all investment into New Zealand, including bonds, was positive.
"It's just that some is more active than others and has the potential to create more spillover benefits."
Immigration Minister Michael Woodhouse said on Monday that the Government's recently approved Investment Attraction Strategy signalled a review of migrant visa categories to ensure they were attractive to entrepreneurs and investors.
"I've asked my officials to provide advice, including considering incentivising more active investment," Woodhouse said. "I expect to receive that advice in November so won't be speculating on any possible future changes until I have considered that advice."
Applications for Australian investor visas have slumped since a rule change was introduced in July, according to the Financial Times.
The newspaper reported that just seven visa applications had been received since the new requirements - which require some investment in growth assets like venture capital - came into force.