Investment and Interest Rate Policy in the Open Economy



2.3 Representative Agent

The representative agent chooses consumption C, domestic real money balances M/P ,
and leisure 1
- L, to maximize utility:

max


Eo∑βtU Ct, M
P
t


1 - Lt


(13)


t=0


where the discount factor is 0 < β < 1, subject to the period budget constraint

EtΓt,t+1Bt+1 +Mt +Pt (Ct + It)


Bt+Mt-1+PtwtLt+PtrrtKt+


1 Πtd(h)
0


- Υt. (14)


The agent carries Mt-1 units of money, Bt nominal bonds and Kt units of capital into
period
t. Before proceeding to the goods market, the agent visits the financial market
where a state contingent nominal bond
Bt+1 can be purchased that pays one unit of
domestic currency in period
t + 1 when a specific state is realized at a period t price
Γ
t,t+1. During period t the agent supplies labor and capital to the intermediate good
producing firms, receiving real income from wages
wt , a rental return on capital rrt ,
nominal profits from the ownership of domestic intermediate firms Π
t and a lump-sum
nominal transfer Υ
t from the monetary authority. The agent then uses these resources to
purchase the final good, dividing purchases between consumption
Ct and investment It .
The purchase of an investment good forms next period’s capital according to the law of
motion

Kt+1 = (1 - δ)Kt + It,                             (15)

where 0 < δ < 1 is the depreciation rate of capital.

For analytical simplicity we assume that the period utility function is separable among
its three arguments and the labor supply elasticity is infinite.
8 The first-order conditions
from the
home agent’s maximization problem yield:

βRtEt { ⅞(⅛τTP~i } = 1                   (16)

Uc(Ct) Pt+1

8Both Dupor (2001) and Carlstrom and Fuerst (2005) use the same functional form for their respective
closed-economy studies.



More intriguing information

1. Does Competition Increase Economic Efficiency in Swedish County Councils?
2. The Shepherd Sinfonia
3. Yield curve analysis
4. The name is absent
5. How do investors' expectations drive asset prices?
6. Gerontocracy in Motion? – European Cross-Country Evidence on the Labor Market Consequences of Population Ageing
7. Protocol for Past BP: a randomised controlled trial of different blood pressure targets for people with a history of stroke of transient ischaemic attack (TIA) in primary care
8. The name is absent
9. Fertility in Developing Countries
10. The Distribution of Income of Self-employed, Entrepreneurs and Professions as Revealed from Micro Income Tax Statistics in Germany