March 20th, 2006, 5:37 pm
It would depend on the strike prices of the two options. Clearly, if both are struck at the same level, delta remains constant at -1.If put is struk at a lower strike than call, then delta would at first increase (less -ve than -1) and then approach -1 as stock price approaches 0. If put is struk at a higher strike, then delta would initially decrease (more -ve than -1) and then increase to -1.