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(1) Throughout this article, monetary values are the year 2000 New
Zealand dollars, which are typically worth about half a U.S. dollar.
Tons are metric tons.
(2) A referee raised the question of whether we should expect the
behavior of fishermen to reflect linkages between capital and quota
markets. Because fishermen often purchase equipment and vessels using
commercially available capital, their decisions are linked with broader
capital markets. Figure 1 and the econometric evidence presented herein
also bring into question the often-prevailing notion that fishermen do
not behave in an economically sophisticated way, and lack an
understanding of the relative cost of capital. Having said that, Karpoff
(1985) investigates and finds evidence for the existence of nonpecuniary
factors in the license prices of Alaska salmon fishery. An interesting
question for further research is whether we might be able to undertake a
similar analysis.
(3) Recently, McGough, Plantinga, and Provencher (2004) investigate
the implications of a rational expectations equilibrium in timber
markets on the time series properties of timber prices.
(4) If the discount rates follow a martingale process, then the
best predictor of future discount rates at time t is the current rate,
i.e., [E.sub.t]([r.sub.t+1]) = [r.sub.t] (LeRoy 1989). This is supported
empirically by econometric analyses of interest rates. For a more
general analysis of time-varying rates, see Chapter 7 of Campbell, Lo,
and MacKinley (1997).
(5) For fish stocks with noncommercial interests, such as the red
snapper fishery (Region 1), the TAC for the commercial fishery is
denoted the total allowable commercial catch (TACC). For expositional
reasons, we use TAC to refer to TACC for these fisheries.
(6) During the time period of our analysis, in addition to the
lease and asset markets, fishers had a number of ways to balance their
quota holdings and catches within a 30 day window after landing their
catch (see NSK). Sanchirico et al. (2006) describe these flexibility
mechanisms, how they changed over time (mostly in October 2001), and
their level of use.
(7) The flexibility to time fishing trips when port prices are
higher, and the elimination of large supply gluts of fresh product, have
resulted in increases in price per pound of more than 40% in the Alaskan
halibut ITQ fishery (Casey, Wilen, and Dewees 1995). The focus on
quality is also evident in New Zealand, where fishermen have changed
catching methods in the red snapper fishery in order to sell their catch
on the highly profitable Japanese live fish market (Dewees 1998).
(8) Ideally our specification would impose [lim.sub.t[right
arrow][infinity]] ln[psi](*) = 1, but this would require a functional
form necessitating nonlinear estimation in an instrumental variables
panel data context. We have therefore opted for a linear approximation.
(9) Equation (3) is derived under the assumption that factors
affecting profit growth (e.g., output prices or costs) persist
indefinitely, and it is solved by assuming the convergence of an
infinite sum. Therefore, factors that will either grow or decline only
over the short-run, such as TAC changes, are not found in the long-run
solution of asset prices.
(10) About 30% of lease and 25% of sale observations that did not
represent reliable market transactions were omitted. For more
information on how these prices were identified, see NSK. In addition,
1,324 of the 4,120 observations have sale prices that are constructed
from only one transaction and 281 observations have a lease price
calculated from one trade. However, those observations with only one
underlying sale transaction come from stocks that have, on average, 2.5
sales per quarter. For leases, this value is 9.4. This suggests that
while some stocks may have isolated periods of low market activity, in
general they feature a reasonable number of trades.
(11) The New Zealand Ministry of Fisheries uses the mortality rate
to construct a measure of natural variability that is factored into the
setting of the TAC (Annala, Sullivan, and O'Brien 2000). The
assumption is that a stock with higher natural mortality will have fewer
age classes and therefore have greater fluctuations in biomass.
(12) We estimate the output price growth rate independently for
each species based on a first-order autoregressive model of the log fish
price, including a time trend, quarterly (seasonal) effects, and a
constant term. The estimates for a small number of species are negative
and to avoid taking the logarithm of a negative number, we add and
subtract 1 in the denominator of equation (5). Another option would be
to directly estimate the growth rate in lease prices, but this
introduces econometric issues due to the endogeneity of lease prices.
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