Suppose Equilibrium in a financial market:

M/P = YL(i)

a. What is  an expression for Y in terms of i (i.e. Y = ....)

b. Suppose the central bank holds the money supply constant. Using part a's answer, derive dy/di. What's the sign? How does it relate to the slope of LM curve derived in class? (hint: if y=1/f(x), then y'= -f'/f(x)^2) 

Now suppose that equilibirum in financial markets is:

M/P = Y (.25 - i)

c. Derive an expression for Y in terms of i (i.e. Y = ...)

d. Suppose the central bank holds the real money and supply constant. using part c's answer, derive dy/di. whats the sign? if there is a small increase in i, by how much does output need to increase to maintain equilibrium in financial market?