Account

Basic model of an account with optional interest

Diagram

Information

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The output y reports the balance of an account that is increased or decreased by flows connected to the stock ports or at given rates (u_plus and u_minus respectively) if hasRateInputs = true. When there are interest payments (withInterest = true) positive and negative balances of the account will lead to interest earned and interest paid, respectively. The associated fractional rates can be given either as constants or as variable inputs.

Notes

Usually rates for deposits and withdrawals are given as separate, positive inputs. Using hasNetRateInput = true the rate of flow for the account can be given as a netRate using the connector u_plus only.

Fractional rates are assumed to be continuously compounding rates (→ForceOfInterest).

The Account is a more general structure than the widely known bathtub [6, pp.10f.]

Parameters (9)

initialBalance	Value: 0 Type: OutputType Description: Initial balance of the account
interestRatePlus	Value: unspecified Type: Rate (1/s) Description: Constant fractional interest rate for positive balances (optional)
interestRateMinus	Value: unspecified Type: Rate (1/s) Description: Constant fractional interest rate for negative balances (optional)
hasRateInputs	Value: true Type: Boolean Description: = true, if input connectors should allow giving transaction rates increasing/decreasing the balance of the account
hasNetRateInput	Value: false Type: Boolean Description: = true, if the rate of flow is given a net rate (u_plus only)
withInterest	Value: false Type: Boolean Description: = true, if positive and negative balances lead to interest earned or paid
hasConstantInterest	Value: true Type: Boolean Description: = true, if the optional interest rates are given as constant parameters
init	Value: modelSettings.init Type: InitializationOptions Description: Provide InitializationOptions (Free, FixedValue, SteadyState) (accountBalance.init)
strict	Value: true Type: Boolean Description: = true, if strict limits with noEvent(..) (positiveBalance.strict)

Connectors (9)

	inflow	Type: StockPort Description: Increasing the balance of the account
	outflow	Type: StockPort Description: Decreasing the balance of the account
	u_plus	Type: RealInput Description: Rate of inflow increasing the account (or net rate of flow)
	u_minus	Type: RealInput Description: Rate of outflow decreasing the account
	u_interestPlus	Type: RealInput Description: Fractional interest rate for positive balances (optional)
	u_interestMinus	Type: RealInput Description: Fractional interest rate for negative balances (optional)
	y_intEarned	Type: RealOutput Description: Interest earned (optional)
	y_intPaid	Type: RealOutput Description: Interest paid (optional)
	y	Type: RealOutput Description: Balance of the account (e.g., amount in the stock)

Components (15)