B6
Embedded Options
Value bonds with embedded options properly: build a Black–Derman–Toy or Ho–Lee rate tree calibrated to the Treasury curve, exercise calls and puts on coupon dates or hold a floater's coupon between its cap and floor, and get each option's value, the option-adjusted spread, and effective duration and convexity. Convertible bonds are valued on a share price tree.
Learning focus: callable = straight bond − call option, capped floater = floater − cap, convertible = straight bond + an option on the shares.
Security
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y
Calls
Puts
None.
Each row applies from its year until the next; exercise is on coupon dates (Bermudan).
Curve and tree
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bp
bp
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