If Fincorp stock trades in a dealer market with bid price of $55\mathrm{.}25$ and asked price of $55\mathrm{.}50,$

a$)$ Suppose you have submitted an order to your broker to buy at market. At what price will your

trade be executed?

b$)$ Suppose you have submitted an order to sell at market. At what price will your trade be

executed?

c$)$ Suppose you have submitted a limit order to sell at $$55\mathrm{.}62.$ What will happen?

d$)$ Suppose you have submitted a limit order to buy at $$55\mathrm{.}37.$ What will happen?