all levels of the signal z there is either none or at most one level of accumulated
assets as (z) above which agents become entrepreneurs.
3.3 Entrepreneurial decisions and financial intermediation
As mentioned above, entrepreneurs have to decide on the size of their firms before
they know their productivity levels for the period. Given the assumed properties
of the utility function and the assumptions of full information and no possibility of
default, any entrepreneur will choose productive capital, k, and labor, n, so that
consumption levels are nonnegative for all possible realizations of shocks. This
means that entrepreneurial decisions are taken so that
wn + RL max [0, k — a] ≤ (1 — δ) a + zf (k, n) + RD max [0, a — k]. (6)
This constraint implies that entrepreneurs with a low level of accumulated assets
may be constrained and run their firms below their optimal size. Nevertheless,
because of the properties assumed for Q, becoming an entrepreneur has a future
value. That is, an entrepreneur is willing to sacrifice current consumption for
having the possibility of starting a career that increases the firm’s return over
time. The way to obtain this return profile is by investing a large share of his
income and wealth so as to relax the credit constraint in order to run the firm at
its optimal size.
There are two frictions that affect the production decisions of entrepreneurs.
The first distortion is characterized by the financial constraint (6) which makes
some entrepreneurs run projects with size lower than what it is efficient. To under-
stand the role of the financial constraint, let R be the opportunity cost of capital
which could be equal to RL or RD depending on whether the entrepreneur is a
borrower or a depositor. For an unconstrained agent, the first order conditions
with respect to inputs are given by
u0(c)[z0fk (k, n) — R] Q(z, dz0)=0
and
u0(c)[z0fn (k, n) — w] Q(z, dz0)=0.
These two expressions produce the optimal capital to output ratio, q .Forthe
production function (1), the optimal capital to output ratio is given by
_ ku (z) α α \ w
q nu (z) y 1 — α) R
17
More intriguing information
1. The Role of Trait Emotional Intelligence (El) in the Workplace.2. Macro-regional evaluation of the Structural Funds using the HERMIN modelling framework
3. Rural-Urban Economic Disparities among China’s Elderly
4. The name is absent
5. A Study of Prospective Ophthalmology Residents’ Career Perceptions
6. Telecommuting and environmental policy - lessons from the Ecommute program
7. The Context of Sense and Sensibility
8. Spousal Labor Market Effects from Government Health Insurance: Evidence from a Veterans Affairs Expansion
9. The name is absent
10. The Prohibition of the Proposed Springer-ProSiebenSat.1-Merger: How much Economics in German Merger Control?