Once upon a time, three investors, Mr Folio Hatt (Person 1), Mrs Ulburling von Knottenfeld (Person 2), and Mrs Cinnamon Bulldeg (Person 3) were keen on investing exactly according to their risk preferences. They combined the stock market benchmark portfolio and the risk-free asset. The expected return of the benchmark was 6.8 per cent with a volatility of 21 per cent. Further, the risk-free rate was 2.2 per cent. The risk aversion coefficients of the three persons are 1.6, 5, and 9.8, listed in the same order as the names above. Compute the weight in per cent of the benchmark portfolio in Person 2's overall portfolio.

Instructions:

• The answer is given in per cent using one decimal place. This means that a weight of, say, 10.1 per cent, is expressed as 10.1. Do not add anything else, not even the "%" sign.

• Should

  there be intermediate steps in your calculations, please remember to

  keep a large number of decimal places in all intermediate calculations,

  as the final answer needs to be exact.