Although markets appear to have settled for a couple days, global stocks have been turbulent, with U.S. and Japanese equities dropping to multi-month lows earlier in the week as soft U.S. economic data compounded worries about emerging markets.
For their part, emerging markets have seen a brutal sell-off this year after sharp falls in the value of the Argentine peso, Turkish lira, South African rand and Brazilian real triggered panic selling across the asset class. Analysts largely blamed the turbulence on the Federal Reserve's tapering measures, the first hint of which last year sent risk assets worldwide sprawling.
(Read more: Equity selloff, more a rumble than a rout perhaps)
"Although we didn't anticipate the big moves witnessed in equities and bonds so far, we think it would be a mistake at this juncture to change our stance," Dugan said. "We see periods of weakness as an opportunity to add exposure to equity markets, not a reason to sell into the panic."
Coutts isn't the only one keeping its cool amid the volatility.
(Read more: Are markets headed for a perfect storm?)
In spite of the weak start to the year – the worst since 1980 – "we are sticking to our optimistic view on equities for 2014 as a whole," Credit Suisse said in a report titled, "Equities: hold your nerve!" It kept its overweight call on equities.
"A continuing global recovery still appears to be the most likely scenario," Credit Suisse said. "The acceleration in U.S. and European domestic demand should help stabilize GEM (global emerging market) growth through stronger export performance (especially given the recent fall in exchange rates, with the aggregate GEM real effective exchange rate down 8 percent from its 2010 peak)," the bank said.