Greta, an elderly investor, has a degree of risk aversion of A = 4 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P/TSX Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P/TSX Composite risk premium is estimated at 7% per year, with a SD of 18%. The hedge fund risk premium is estimated at 5% with a SD of 25%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P/TSX Composite and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim.
What should be Greta’s capital allocation? Assume that the
correlation between the annual returns on the two portfolios is
indeed zero. (Do not round intermediate calculations. Enter
your answers rounded to 2 decimal places.)
S&P | % |
Hedge | % |
Risk-free asset | % |
capital has been allocated in
such a way that it produces maximum utility to the investor given
her risk aversion.
Greta, an elderly investor, has a degree of risk aversion of A = 4 when applied...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P/TSX Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P/TSX Composite risk premium is estimated at 6% per year, with a SD of 21%. The hedge fund risk premium is estimated at 9% with a SD...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8.2% per year, with a SD of 23.2%. The hedge fund risk premium is estimated at 13.2% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6.6% per year, with a SD of 21.6%. The hedge fund risk premium is estimated at 11.6% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7.2% per year, with a SD of 22.2%. The hedge fund risk premium is estimated at 12.2% with a SD of...
Greta, an elderly investor, has a degree of risk
aversion of A = 5 when applied to return on wealth over a one-year
horizon. She is pondering two portfolios, the S&P 500 and a
hedge fund, as well as a number of one-year strategies. (All rates
are annual and continuously compounded.) The S&P 500 risk
premium is estimated at 5% per year, with a SD of 20%. The hedge
fund risk premium is estimated at 12% with a SD of...
Greta, an elderly investor, has a degree of risk
aversion of A = 3 when applied to return on wealth over a one-year
horizon. She is pondering two portfolios, the S&P 500 and a
hedge fund, as well as a number of one-year strategies. (All rates
are annual and continuously compounded.) The S&P 500 risk
premium is estimated at 8.4% per year, with a SD of 23.4%. The
hedge fund risk premium is estimated at 13.4% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A =
3 when applied to return on wealth over a one-year horizon. She is
pondering two portfolios, the S&P 500 and a hedge fund, as well
as a number of one-year strategies. (All rates are annual and
continuously compounded.) The S&P 500 risk premium is estimated
at 7.2% per year, with a SD of 22.2%. The hedge fund risk premium
is estimated at 12.2% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A = 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a SD of 19%. The hedge fund risk premium is estimated at 11% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 9% per year, with a SD of 23%. The hedge fund risk premium is estimated at 7% with a SD of...
Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6.6% per year, with a SD of 21.6%. The hedge fund risk premium is estimated at 11.6% with a SD of...