Different Types of Bonds A perpetual bond is a bond that never matures. t has an infinite life (1+k)1 (1+k)2+…+ (1+k)o ∑ (1+k or (PVIFA K 1 ka [Reduced Formi 4-94-9 Different Types of Bonds A perpetual bond is a bond that never matures. It has an infinite life. (1 + kd ) 1 (1 + kd ) 2 (1 + kd ) V = + + ... + I I I =   t=1 (1 + kd ) t I or I (PVIFA kd ,  ) = I / kd [Reduced Form]