2. Calculate the net present value (NPV) of the new sugar plant and decide whether the firm should build the new sugar plant.

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter14: Multinational Capital Budgeting
Section: Chapter Questions
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can you help with quesiton 2.

PROBLEM A [CORPORATE FINANCE]
A firm produces and sells refined sugar. It is considering an investment of 60 million DKK to build another
sugar plant. The new sugar plant will generate cash flows in year 1 and 2 depending on the economic
conditions, as shown by the tree diagram in Figure 1.
The risk-free one-year interest rate is 10%, and 1 million DKK invested in the market portfolio today yields
future values shown by the tree diagram in Figure 2.
Year 0
Year 1
Year 2
Year 0
Year 1
Year 2
30m
2m
1.5m
75m
-60m
15m
1m
0.83m
20m
7m
0.7m
0.73m
Figure 1. Cash Flow of the New Sugar Plant
Figure 2. Market Portfolio Payoffs for Determining
Risk-Neutral Probabilities
1. Compute the risk-neutral probabilities, n and 1-1, for year 1 and year 2 respectively, to be
consistent with the market portfolio values in Figure 2.
2. Calculate the net present value (NPV) of the new sugar plant and decide whether the firm should
build the new sugar plant.
Transcribed Image Text:PROBLEM A [CORPORATE FINANCE] A firm produces and sells refined sugar. It is considering an investment of 60 million DKK to build another sugar plant. The new sugar plant will generate cash flows in year 1 and 2 depending on the economic conditions, as shown by the tree diagram in Figure 1. The risk-free one-year interest rate is 10%, and 1 million DKK invested in the market portfolio today yields future values shown by the tree diagram in Figure 2. Year 0 Year 1 Year 2 Year 0 Year 1 Year 2 30m 2m 1.5m 75m -60m 15m 1m 0.83m 20m 7m 0.7m 0.73m Figure 1. Cash Flow of the New Sugar Plant Figure 2. Market Portfolio Payoffs for Determining Risk-Neutral Probabilities 1. Compute the risk-neutral probabilities, n and 1-1, for year 1 and year 2 respectively, to be consistent with the market portfolio values in Figure 2. 2. Calculate the net present value (NPV) of the new sugar plant and decide whether the firm should build the new sugar plant.
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