This paper considers a dual-channel supply chain where the supplier can distribute products through an online platform and a capital-constrained traditional offline retailer. The retailer needs to fund its business by a portfolio financing of trade credit and platform investment to enter the market. With the price-dependent market uncertain demand, the supplier faces choices among direct, traditional, and dual channels for product distribution. We use the CVaR criterion to formulate the retailer's risk-averse behaviour. Then derive the optimal retail channel strategy in a Stackelberg game mode...