“…For these linear state dynamics, the parabolic partial differential equation (PDE) system describing the equilibrium price can be reduced to a system of linear ordinary differential equations (ODEs) by a suitable ansatz, and in turn compared to the explicit formulas that obtain for our small‐cost asymptotics in this case. In this example, we find that the introduction of small transaction costs increases volatility, in line with the asymmetric information model of Danilova and Julliard (2019); the risk‐sharing model studied in Herdegen, Muhle‐Karbe, and Possamaï (2019); numerical results of Adam, Beutel, Marcet, and Merkel (2015) and Buss, Dumas, Uppal, and Vilkov (2016); and empirical studies such as Hau (2006), Jones and Seguin (1997), and Umlauf (1993). By contrast, the introduction of small holding costs decreases the equilibrium volatility.…”