We study the price-setting problem of market makers under perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as the expectation of a true value of the asset given the market makers partial information that includes the...

In Foreign Exchange Markets Compound options (options on options) are traded frequently. Installment options generalize the concept of Compound options as they allow the holder to prolong a Vanilla Call or Put option by paying installments of a discrete payment plan. We derive a closed-form...

A small investor provides liquidity at the best bid and ask prices of a limit order market. For small spreads and frequent orders of other market participants, we explicitly determine the investor's optimal policy and welfare. In doing so, we allow for general dynamics of the mid price, the...