question archive Anvil Construction is considering investing in a large piece of land

Anvil Construction is considering investing in a large piece of land

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Anvil Construction is considering investing in a large piece of land. the land is currently zoned residential housing, but Anvil is planning to apply for re-zoning. What they will actual build on the land will depend on whether or not the re-zoning is approved. Anvil needs to decide whether or not to purchase the land based on the following costs, alternatives, and probabilities:

 

The land costs $2 million. There is a 60% possibility that the rezoning will be approved. If approved, there will be an additional cost of $1 million dollars for new roads, piping, and lighting.

 

If the rezoning is approved, Anvil will need to decide whether to build a shopping center or an apartment complex with 1,500 units. 

 

If the shopping center is selected, there is a 70% chance that they will be able to sell the shopping center to a large department store chain for $4 million over her construction cost. 

 

There is a 30% chance that instead, they will sell it to private equity company for $5 million over the construction cost. On the other hand, instead of the shopping center, they can build the apartment complex with 1,500 units. 

 

If the apartments are built, there is a 60% chance that the apartments can be sold to a real estate investment corporation for $3,000 each over construction cost and a 40% that they can be sold for only $2,000 each above the construction cost.

 

If the land is not rezoned, Anvil will comply with the existing zoning requirements and build 600 homes, where they will make $4,000 profit above construction cost on each one.

 

Anvil faces a dilemma. Should they by the land? If they buy the land and rezoning is approved, what should they do with the land? Help Anvil by analyzing the problem.

 

?Develop a decision tree, using word or excel add in treeplan, and determine the optimal decision strategy. make a recommendation

 

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Payoff is in $ million 

Expected Monetary Value (EMV) are calculated below:

If land is rezoned, then

EMV of building shopping center = 0.3*5+0.7*4 = $ 4.3 m

EMV of building apartment complex = 0.4*3+0.6*4.5 = $ 3.9 m

EMV of Shopping center is higher. Therefore, if land is rezoned, then optimal decision is to build shopping center

EMV of Buy land = (0.6*(4.3-1)+0.4*2.4)-2 = $ 0.94 m

Please see the attached file for the complete colution

 

 

The best decision is:  Buy the land and apply for rezoning. If rezoning is approved, then build shopping center 

 

EMV of this strategy = $ 0.94 million