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Marginal costs
= the cost of producing one more unit of a good or service
Key decision making in the short run
Produce as long as marginal revenue (price) > marginal cost
In the short run: disregards fixed of sunk costs
Opportunity costs
= the “cost” incurred by not enjoying the benefit associated with the best alternative choice
Example
A factory has a production line where product ‘A’ is produced, how to assess the economic feasibility on innovative product ‘B’ on the same production line?
Marginal cost = cost_a, cost_b
Revenues = price_a,price_b
Produce product B if?
A. price_b > cost_b
B. price_b > cost_b + price_a - cost_a
C. cost_a > cost_b
Answer = B, because the gain of B has to be bigger to replace A
Investment analysis

NPV = Net Present Value = The present value of net cashflows
Ct = cash flow in period t
C_0 = investment
r = discunt rate = opportunity cost of capital
Internal rate of return
r that sets NPV = 0
Difference in application between public and private
Public perspective = enconomic cost benefit analysis
Privat perspective = financial cost benefit analysis
Applications
Labour
Private = cost of labour that project needs to pay
Public = labour cost could be discarded when it considers increasing employment and thus decreasing unemployments benefits
Subsidies
Private = part of income
Public = not be considered or part of costs
Consumer or producer surplus

Spill over effect
Can be considered in public analysis
Direct investments in related industries
Increased spending by beneficiaries
Learning => competitiveness can attract more investments
Non monetary benefits: biodiversity
Risk and uncertainty in investment analysis
Risk | Uncertainty |
all potential outcomes and their likelihood of occurences are known to the decision maker | either the outcomes and/or their probabilities of occurrences are unknown to the decision maker |
Investment flexibility: real options
= the flexibility to alter the course of action in a real assets decision, depending on future developments
Company’s value assessment requires that real options be considered and properly evaluated
Standard discounted cash flow approaches ignore a key source of value (real options) and therefore undervalue most capital investments
Sources real option value
Created or purchased: patents, production flexibility, rights to develop land or natural resources
Real options can evolve naturally in a company due to existing competencies in a firm: research and development, advertising, technical expertise
Examples
Growth options
R & D
Land
Natural resource exploration
Staged investments; expansion options
Follow-on or sequential investments
Contradiction options
Abandonment of Project or Division
Contract production
Switching options
Input or output mix flexibility
Investment flexibility: real options - patents
option to apply and use when opportunity arises
To do’s in cost benefit analysis
Focus on relevant decision variables only
This might imply that you only focus on cost-saving technology
Include labour, overhead, management cost where relevant
Consider insourcing and outsourcing. Use data of outsourcing when within organisation estimates are not reliable
Use cost and revenues relevant for your case (wholesale or consumer prices where you act as wholesaler or consumer)
e.g. IBA vs collective wastewater treatment
Do not use consumer prices for sold products if marketing is not done by the company
Do not use energy costs or other costs from lab or pilot plants if you want to run full scale installations
Consider economics of scale
Square – cube law
Lower transaction costs (often fixed)
Learning rate
Do not tweak data in order to have the impression of a favourable outcome