The German reinsurer reported a net result of €1.71bn ($2bn) for the quarter.
By 2030, the insurer said it expects to have more than 11 million customers and exceed A$25bn ($18.1bn) in GWP.
Smith & Company has established a specialist aviation arm and operations in commercial agriculture.
Gross reinsurance revenue at group level came to $7.63bn (€6.5bn) at the end of March, versus €7bn a year earlier, down 7.2%.