An investment firm backed by LVMH is betting demand from wealthy Americans for quiet luxury will ensure its 510 million euro ($545 million) stake in Italian shoemaker Tod's yields the double-digit returns private equity typically seeks. L Catterton, created by U.S. fund Catterton and LVMH-owner Groupe Arnault, on Friday secured sufficient shares to take Tod's private once the deal, valuing the company at just over 1.4 billion euros ($1.5 billion), formally concludes in the coming days. Listed in Milan but controlled by its founding Della Valle family, Tod's profitability has lagged rivals.