Ahoy, Black Gold!

We would now need to draw conclusions from the given data and develop a valuation model.

We know that the market is competitive, hence the market-clearing price will be the equilibrium price. The equilibrium price will be set by the participation price of the marginal capacity: below that price, the marginal capacity will not offer their service/product (=tanker) and demand cannot be fulfilled. Thus, the price rises until it meets the costs of the marginal capacity.

So, what is the marginal capacity?

Large tankers have the lowest cost per m³, hence all capacity can be used (as they can offer the lowest price – theoretically. In practice they cannot set the price.) Large tankers will be able to transport 400,000 m³* 100 = 40m m³ of oil.

Medium tankers will need to cover the remaining 10,000,000 m³ which is possible by contracting half of the available tankers (100/2 = 50; 50* 200,000 m³ = 10m m³). As those tankers will not operate for anything less than the operating cost, the market-clearing price will be $75,000 per 100,000 m³ oil (one medium tanker can carry 200,000 m³ of oil and costs $150,000 to operate = $ 75,000 per 100,000 m³)

We can calculate the profits for each tanker class.

While large tankers will make a profit of $ 100,000 per year, medium tankers earn 0 and no small tanker would operate as they are incurring losses of $75,000 every year.

To calculate the value, we can use the Discounted Cash Flow method.

Large tankers are worth $ 100,000 / 0.1 = $1m each. Medium tankers and small tankers have zero worth (or, alternatively, scrap value only).

As we have calculated, the equilibrium price will be the one that clears the market. As not all of the capacity can be covered by large tankers, the price that compensates for the operating cost of the marginal capacity, i.e. medium tankers (like your friend's), will be paid for all actors on the market. While large tankers due to their lower operating cost are still making a profit, medium-sized tankers don't. Their only value is the scrap value, just as the small tankers' value.

If the interviewee was very fast, you can repeat the exercise, but with a fixed demand of 65m m³ ceteris paribus.

Results:

Market clearing price will be $100,000 per 100,000 m³ oil.

Large tankers: Profit = Revenue - Cost = (Capacity * price / 100,000 m³) - $200,000 = 400,000 m³ * $100,000 / 100,000 m³ - $200,000 = $ 200,000

Medium tankers: Profit = Revenue - Cost = (Capacity * price / 100,000 m³) - $150,000 = 200,000 m³ * $100,000 / 100,000 m³ - $150,000 = $ 50,000

Small tankers: Profit = Revenue - Cost = (Capacity * price / 100,000 m³) - $100,000 = 100,000 m³ * $100,000 / 100,000 m³ - $100,000 = $ 0

Value:
Large tankers: $2m
Medium tanker: $0.5m
Small tanker: $0 or scrap value only.