In this paper, the main focus will be on the forward looking monetary model of exchange rate determination and some points surrounding this topic. I will consider the purpose and make a comparative analysis between two models. The two key models I have chosen to use are the flexible price monetary model and the Dornbusch sticky-price monetarist model.
For the purpose of this essay I will be looking at the effects of the exchange rate by the domestic nominal money supply. I will also be presenting a graphical representation of the effects to help my further explanation. In conclusion, I will assess the Flexible price monetary model and how it helps towards determining the exchange rates and how reliable this model is.
Exchange rate is defined by Anne Krueger as:
To be more clearly defined for the essay the exchange rate will be defined more specifically as the domestic currency units required for a foreign currency unit. There have been many developments of sophisticated models that illustrate the exchange rate behaviour. However, this discussion will be about the flexi price monetary model. This model was developed by Frenkel, Bilson and Mussa.
It is said to be that the model is defined as
This means that the model can forecast the change in exchange rates and price levels in relation to current and expected future values of variables for example the money supply, income level and the interest rate.
The main assumptions in this model are that the Power Purchasing Parity (PPP) holds continuously. PPP can be defined as
This means that the model will adjust to shocks, to ensure the goods and stocks prices in one country will be the same price in another country. This links with another assumption that the prices are assumed to be flexible,
Another assumption is that the Uncovered Interest rate Parity holds as well. This can be referred to as the
This implies that the model assumes that
This defines them as being perfect substitutes. Another assumption is that the
This means demand for money will always equal supply for money
The model has given many functions for the model, which are the explanations of the flexible price monetary model on the basis of the assumptions. The domestic money demand has is shown as
mt – pt = ayt – bit
m is the log of domestic nominal money supply
p is the log of domestic price level
y is the log of domestic real income
i is the log of nominal domestic interest rate
This equation simply states that the
The foreign money demand function is specified as
Where m* is the log of foreign nominal money supply
p* is the log of foreign price level
y* is the log of foreign real income
i* is the log of foreign interest rate
We can rearrange these two equations to make p and p* the subject:
[1]The PPP that holds continuously is expressed as
st = pt – pt*
Where s is the log of domestic currency price for foreign currency.
We can then extend this equation with (2) and (3) equations to derive
st = (mt – mt*) – a (yt – yt*) + b (it – it*)
This is known as the reduced form exchange rate equation and is explained by Keith Pilbeam as
So far, the model has been explained as a general concept. However the model can be interpreted as a forward looking monetary model which helps look at the future action of the exchange rate.
It can be said that
it – it*= Et (st+1) – st
Where t is today. We can further expand the equation to make the model forward looking;
st = (mt – mt*) – a (yt – yt*) + b( set+1 – st)