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Question regarding the valuation of convertible bond

I would like to ask a question about the valuation of convertible bond using binomial tree. It is known that the CB can be valued as debt and equity component using risky and risk-free interest rate ...
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What is the difference between the methods (listed in content) in pricing convertible bond?

To price the convertible bond, one of the models is the bond plus equity option method. That is, the value of convertible bonds is evaluated by finding the value of the straight bond and the value of ...