I am doing an excel project on investment advice. I have been able to do fund A and B but i do not know how to complete C. Assume that Fund C produces annual returns that are normally distributed with mean of 8% p.a. and standard deviation of 6% p.a. However assume also that for Fund C the company applies a guarantee each year that the annual return given to clients will not fall below 3% p.a. and, in lieu of this guarantee, only then returns 97.5% of the accumulated value at the end of the 5-year term to its clients. Assume the returns on all funds are independent. I have the mean and standard deviation completed but i cannot figure out to make sure that the interest stays above 3% each time i run it. I Carried out a simulation analysis, to analyse the distribution of returns the client will make under each fund and therefore the likely returns and value the client will see under the fund.
How do i make sure for the 500 times the macro runs that the interest does not fall below 3%
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