This paper derives a closed-form expression for the expected discounted value of aggregate cash flows when arrival times follow a Poisson process but both the time horizon and the number of arrivals are finite. The result provides a tractable analytical formula for the expected discounted sum...

This paper analyzes the affordability of cash in an international context. After outlining why cash should remain a core component of a diversified payment mix within a resilient and efficient payment system, we discuss methodological challenges associated with measuring the costs of payment...