Optimal harvesting age, Public Economics

Assignment Help:

Optimal Harvesting Age

Let there be a per unit regeneration cost C. The timber growth  is measured  by volume V(T) which is a function of the age of the timber T. Attaching a price P,  the maximum present value of the stand represented by λ is,

Equation 1

437_Optimal Harvesting Age.png

The first order condition gives us

Equation 2

PV' (T) = iPV (T) + i λ

Where V’ is the first order derivative of V.

The results indicate that, the Faustmann harvest age TF, is the one at which the marginal increase in value from delaying the harvest equals opportunity cost of delaying the harvest. The opportunity cost includes the potential interest income foregone on the delayed receipt of current harvest revenues plus the interest cost of delaying receipts from future harvest cycles. The second component reflects an implicit rental cost of land. The optimum T is popularly known as 'Faustmann Rotation Age'. Let us denote it by TF.

The first order condition equation 2 can be rewritten to give us the Faustmann condition

Equation 3

 1425_Optimal Harvesting Age 2.png

Equation 3 can be interpreted as, 'hold timber stocks uncut until the rate of growth in the combined asset value of timber and land just equals market rate of interest'.

 

 

 


Related Discussions:- Optimal harvesting age

Comment on each of the following statements, Unions tie the hands of manage...

Unions tie the hands of management and inhibit efficient decision making

Public finance, What are the objectives of pubic finance

What are the objectives of pubic finance

Bmbb, examples of inductive method in economics

examples of inductive method in economics

Metals and melting practices - charging, Metals and Melting Practices - Cha...

Metals and Melting Practices - Charging,Coke,Flux,Hearth Charging : An operation in which raw materials are added up to a furnace. Coke : An impure form of carbon that is

Role of government intervention in the economy, For a very large part of 20...

For a very large part of 20 th century, we may recall, there existed capitalist market-oriented economies and socialist planning-oriented economies. 21stcentury is however witness

Condition of pareto optimality , reallocation of the resources from 1 effic...

reallocation of the resources from 1 efficient point to another efficient point that cause the production of x increase and production of y decrease hold the condition of contrect

Command and control (cac), Normal 0 false false false E...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Model without stock effects, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

How to prevent bulling, what could I write for pharigraph 2 on why a bully ...

what could I write for pharigraph 2 on why a bully bullies

Foreign trade and capital flow problem, In the wake of the Asian financial ...

In the wake of the Asian financial crisis, policymakers, governments, and academics around the world are busy devising ways to reform the global financial architecture. The plethor

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd