Franchise value

What is the intuitive reasoning behind the math (ROE-r)/(ROE*r) that is the franchise value? Thanks

Franchise P0/E1 =FF*G ==> Franchise value, P0 = E1 * FF * G (ROE-r)/ROE*r is Franchise factor. More intuitive way of looking at this is 1/r - 1/ROE. Higher ROE and lower r, i.e., higher performance combined with lower expected performance is the best scenario. All ROE above r contributes to Franchise value, returns above required rate. ROE=r implies no franchise value, perpetuity. ROE r you have growth or returns above required rate. If you have ROE