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hi and welcome to fixed income securities and today we are going to look at bonds with embedded options and if you remember from the last video we created an interest rate tree and when when it comes to bonds with embedded options we will need those trees to to value the bonds and the the corresponding options and this is what we are going to do today and if you notice these numbers these correspond to the slide numbers so you can skip ahead and the video if you want to just look at some of the content okay so first we will just have a tiny introduction and then we are going to give an overview of the embedded options and were going to value callable and portable bonds without interest rate risk okay without interest rate risk so so you get an overview of how callable and and and put apple bonds behave and were going to introduce interest rate risk by using our interest rate tree and value the bonds and we are going to look into floating rate bonds floating rate bonds where the the c