This BB is not intuitive to me at all. Writing below out helped a little bit. Can someone else have a more concise way to make this concept more intuitive and memorable?
- 10 year callable bond is issued by a corporation.
- Higher bm rates are expected in the coming years - which makes callable bond unattractive from a corporation’s point of view.
- “The strategy of investing the available funds for three years and then calling the debt is questionable because the embedded call option might be out of the money when the call date arrives.” -> The callable bond is issued at higher yield to give the optionality for a corporation to call back their bonds to refinance at a lower rate. So if the bm rates are high, they are paying high coupons for the option that they will not exercise.
- The bank working with the CFO suggests that the corporation buy a 10 year non-callable, fixed rate corporate bond and use a swaption to mimic the characteristics of the embedded call option. -> Buying a bond = defeasing liability (callable bond); to make a non-callable bond to a callable bond, use a swaption
- The liability that the corporation currently has is a callable bond that pays out fixed coupon. The issuer bought an option to call back the bond. -> Then, to defease this bond, you need to sell/write an option that receives fixed coupon. This translates into writing a receiver swaption that received fixed, paying out floating.
- The corporation receives premium when writing a receiver swaption -> this equates to the value of the embedded option.
- If the market rates in three years are higher than the strike rate on the swaption and the yield on the debt security, the embedded call option in the callable bond liability expire out of the money. -> If the rates are higher, the right to call back at an attractive lower rate becomes worthless.
- Because the embedded option in the liability expires worthless (OTM), the opposite side of the transaction, for the writer of the receiver swaption, it also expires worthless.
- If the market rates fall and the bond price goes up, then the callable feature in the liability is in the money and the corporation will exercise this option. The corporation sells the seven year bonds and uses the proceeds to call the deb liabilities at par value.
- Therefore, the writer of the receiver swaption (receive fixed, pay float) will be in the money and need to close out the swaption position with the counterparty at a loss. This loss is offset by the proceeds made when the bond is called.