An internet portal aimed at pet owners has just developed a


Question: An internet portal aimed at pet owners has just developed a nuclear sewing machine and offers you the opportunity to invest in the industrialisation of this product. The project will last 5 years, and for 4 years, you will not be paid a dividend. But if the company is floated on the stock exchange after 5 years (which is the plan) you will get $5 m. The founders of the portal estimate that your initial investment will be about $2.5 m.

What return will this project bring you?

Given the project's risk, you decide that you require a return of more than 20%. What investment do you offer?

The founders, keen to obtain the $2.5 m in question and believing firmly in the success of their project, offer you the following arrangement: you give them $2.5 m and if all goes well, you'll get $5m after 5 years. If the project fails, then they will give you $1m after 5 years out of the $2.5 m you invested. They believe that this reduces your risk considerably. How would you go about tackling this problem (without doing any calculations)?

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Mathematics: An internet portal aimed at pet owners has just developed a
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