MHB Basic problem about investment (basic percentages, and econ/finance).

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Liam and Ben have differing inflation expectations, with Liam predicting 5% and Ben 4%. They are considering two investment options: Fund 1, which offers an 8.6% return, and Fund 2, which provides a return based on the CPI rate plus 3.75%. If inflation is 5%, Fund 2 yields 8.75%, making it a better choice for Liam, while at 4% inflation, Fund 2 yields 7.75%, which is less favorable for Ben compared to Fund 1. Therefore, Liam should invest in Fund 2 and Ben in Fund 1 for optimal returns based on their inflation forecasts.
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Liam and Ben are two friends who started studying the world of Finance and have different expectations for inflation in the coming years. Liam estimates inflation of 5% per year and Ben estimates inflation of 4% per year. Suppose they have the following options available for investment:
  1. Fund 1, which pays a rate of 8.6% per year;
  2. Fund 2, which pays a CPI rate (inflation rate) + 3.75% per year.
What should they do?

a) Liam should invest in fund 1 and Ben in fund 2

b) Liam should invest in fund 2 and Ben in fund 1

c) both must invest in fund 1

d) both must invest in fund 2
 
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Let the amount invested be A.
Investing in Fund 1 pays 0.086A.

If inflation is 5%, investing in Fund 2 will pay 0.0875A which is more than 0.086A.
If inflation is 4%, investing in Fund 2 will pay 0.0775A which is less than 0.86A.

Liam should in fund 2 and Ben should invest in fund 1.
 
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