sfcr_portfolio {sfcr}

Find a valid matrix of portfolio parameters

Description

The sfcr_portfolio() function calculates a valid matrix of portfolio parameters by applying the symmetry condition and then filling the missing rows accordingly to the vertical and horizontal adding-up constraints.

Usage

sfcr_portfolio(m, known)

Arguments

m

A matrix of parameter names

known

A named vector of known parameters. One entry for each symmetry condition is enough to find a valid matrix.

Details

This function calculates only the values of the rates of return matrix, i.e., the internal matrix. The adding-up constraint number 1, that calculates the share of assets in the net wealth and the impact of regular income to wealth ratio must be calculated separately.

If supplied with insufficient parameters, the function will return a matrix with NA values.

This function requires at least (n^2 - n)/2 known parameters to find a valid portfolio matrix, where n is the number of rows/columns. This is achieved by setting known parameters outside the diagonal and not on symmetrical entries, i.e., not lambda12 and lambda21, for example.

Author(s)

João Macalós

Examples

j1 <- matrix(paste0("lambda", c(11:14, 21:24, 31:34, 41:44)), ncol = 4, nrow = 4, byrow = TRUE)
j2 <- c(lambda12 = 0, lambda13 = 0, lambda14 = 0, lambda23 = -15, lambda24 = -15, lambda34 = -15)

sfcr_portfolio(j1, j2)