The efficient index hypothesis and its implications in the BSM model. / Vovk, Vladimir.

2011.

Research output: Working paper

Published

### Standard

2011.

Research output: Working paper

### BibTeX

title = "The efficient index hypothesis and its implications in the BSM model",
abstract = "This note studies the behavior of an index I_t which is assumed to be a tradable security, to satisfy the BSM model dI_t/I_t = \mu dt + \sigma dW_t, and to be efficient in the following sense: we do not expect a prespecified trading strategy whose value is almost surely always nonnegative to outperform the index greatly. The efficiency of the index imposes severe restrictions on its growth rate; in particular, for a long investment horizon we should have \mu\approx r+\sigma^2, where r is the interest rate. This provides another partial solution to the equity premium puzzle. All our mathematical results are extremely simple.",
keywords = "efficient index, efficient market hypothesis, equity premium",
note = "8 pages",
year = "2011",
month = sep,
day = "11",
language = "English",
type = "WorkingPaper",

}

### RIS

TY - UNPB

T1 - The efficient index hypothesis and its implications in the BSM model

N1 - 8 pages

PY - 2011/9/11

Y1 - 2011/9/11

N2 - This note studies the behavior of an index I_t which is assumed to be a tradable security, to satisfy the BSM model dI_t/I_t = \mu dt + \sigma dW_t, and to be efficient in the following sense: we do not expect a prespecified trading strategy whose value is almost surely always nonnegative to outperform the index greatly. The efficiency of the index imposes severe restrictions on its growth rate; in particular, for a long investment horizon we should have \mu\approx r+\sigma^2, where r is the interest rate. This provides another partial solution to the equity premium puzzle. All our mathematical results are extremely simple.

AB - This note studies the behavior of an index I_t which is assumed to be a tradable security, to satisfy the BSM model dI_t/I_t = \mu dt + \sigma dW_t, and to be efficient in the following sense: we do not expect a prespecified trading strategy whose value is almost surely always nonnegative to outperform the index greatly. The efficiency of the index imposes severe restrictions on its growth rate; in particular, for a long investment horizon we should have \mu\approx r+\sigma^2, where r is the interest rate. This provides another partial solution to the equity premium puzzle. All our mathematical results are extremely simple.

KW - efficient index

KW - efficient market hypothesis