Why would investors from other countries want to invest in a country with a large CA deficit? According to my textbook, the current account and financial account must balance; therefore, a country w/ at large CA deficit will need to fund this by a financial account surplus (i.e. they need to receive FDI funds, encourage foreign investors to buy their bonds etc.)

But why would a country want to invest in another country that has a structural CA deficit (as a structural CA deficit implies the country is uncompetitive and therefore it is a risky investment).
Its all relative when evaluating investments: 

A) It might be risky but pay a relatively high return. It could be the case that the local interest rates are high even taking into account a potential devaluation, or it could be the case that the investment is denominated in foreign currency, in which case the devaluation doesn't change the principal (although it does change the likelihood of default). Typically currencies appreciate after the central bank increases the rates in local currency, as foreigners are willing to tolerate more risk when the return goes up. (The "Sharpie ratio" is one way to measure the return relative to riskiness.)

B) The country can be temporarily uncompetitive. That is, if investors think it will be relatively better later on (less uncompetitive ), then they will be willing to bet on the country. (In other words, $R=(Dividend +Future Price)/Current Price$, which means that even if you expect low dividends or interest payments, your expected return could be high because the expected future price is high.