A decrease in the risk-free rate increases the present value of the strike price (X); to maintain equality, either C0 has to decrease or P0 has to increase.
Sure, thanks. This helps to understand the concept. Just to clarify, do they distinguish between the value and its price? (I assumed they are different as with forwards) Or is value and price used interchangeably, both meaning price for options?
I was using the following equation and hence getting it wrong s-x, x being the strike price, which I was discounting, and the difference between s-x was going up, which I assumed was the price, but that is the payoff.