Financial Toolbox™

ret2tick - Convert return series to price series

Syntax

[TickSeries, TickTimes] = ret2tick(RetSeries, StartPrice, 
RetIntervals, StartTime, Method)

Arguments

`RetSeries`	Number of observations `(NUMOBS)` by number of assets `(NASSETS)` time series array of asset returns associated with the prices in `TickSeries`. The ith return is quoted for the period `TickTimes(i)` to `TickTimes(i+1)` and is not normalized by the time increment between successive price observations.
`StartPrice`	(Optional) 1-by-`NASSETS` vector of initial asset prices or a single scalar initial price applied to all assets. Prices start at 1 if `StartPrice` is not specified.
`RetIntervals`	(Optional) Scalar or `NUMOBS`-by-1 vector of interval times between observations. If this argument is not specified, all intervals are assumed to have length 1.
`StartTime`	(Optional) Starting time for first observation, applied to the price series of all assets. The default is zero.
`Method`	(Optional) Character string indicating the method to convert asset returns to prices. Must be `'Simple'` (default) or `'Continuous'`. If `Method` is `'Simple'`, `ret2tick` uses simple periodic returns. If `Method` is `'Continuous'`, the function uses continuously compounded returns. Case is ignored for `Method`.

Description

[TickSeries, TickTimes] = ret2tick(RetSeries, StartPrice, RetIntervals, StartTime, Method) generates price values from the starting prices of NASSETS investments and NUMOBS incremental return observations.

TickSeries is a NUMOBS+1-by-NASSETS times series array of equity prices. The first row contains the oldest observations and the last row the most recent. Observations across a given row occur at the same time for all columns. Each column is a price series of an individual asset. If Method is unspecified or 'Simple', the prices are

TickSeries(i+1) = TickSeries(i)*[1 + RetSeries(i)]

If Method is 'Continuous', the prices are

TickSeries(i+1) = TickSeries(i)*exp[RetSeries(i)]

TickTimes is a NUMOBS+1 column vector of monotonically increasing observation times associated with the prices in TickSeries. The initial time is zero unless specified in StartTime, and sequential observation times occur at unit increments unless specified in RetIntervals.

Examples

Compute the price increase of two stocks over a year's time based on three incremental return observations.

RetSeries = [0.10 0.12
             0.05 0.04
            -0.05 0.05];

RetIntervals = [182 
                 91
                 92];

StartTime = datenum('18-Dec-2000');

[TickSeries,TickTimes] = ret2tick(RetSeries,[],RetIntervals,... 
StartTime)

TickSeries =

    1.0000    1.0000
    1.1000    1.1200
    1.1550    1.1648
    1.0973    1.2230

TickTimes =

      730838
      731020
      731111
      731203

datestr(TickTimes)

ans =

18-Dec-2000
18-Jun-2001
17-Sep-2001
18-Dec-2001

ret2tick - Convert return series to price series

Syntax

Arguments

Description

Examples

See Also