RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia Equation (23)

1 2 ( 1 + Pr ( Φ ≤ l ) E ( Φ | Φ ≤ l ) l + Pr ( Φ > l ) ) + 1 2 Pr ( Φ > l ) ( 1 − Pr ( Φ ≤ l ) E ( Φ | Φ ≤ l ) l − Pr ( Φ > l ) ) − 1 2 − E ( Φ ) 2 l > 0. MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@8487@