Suppose Equilibrium in a financial market: M/P = YL(i) - a. what is an expression for Y in terms of i (i. Y = . suppose the central bank holds the...

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?