Excel Functions in EAC ToolsExcel Functions in EAC Tools\Commutation functionsCommutation functions\Cx, Mx, Rx

Cx, Mx, Rx

Cx, Mx, Rx return a commutation function value at age 𝑥. These functions all share the same syntax:

Syntax

Cx(Age, InterestRate, MortalityTable, [Timing], [CalculationMethod], [IssueAge])
Mx(Age, InterestRate, MortalityTable, [Timing], [CalculationMethod], [IssueAge])
Rx(Age, InterestRate, MortalityTable, [Timing], [CalculationMethod], [IssueAge])

Parameter Name

Description

Age

Current age 𝑥.

InterestRate

The interest rate(s) to discount future payments to calculate the present value. May be a number, a percentage, a text string, a named range, or reference to a range.

·       Rates can be defined using these interest definitions.

·       Note: A value that is greater than 25% (i.e. 0.25) will be divided by 100; e.g. if you enter 2.75 it will be treated as .0275 or 2.75%.

MortalityTable

Mortality table definition text string.

Timing

Defines when the death benefit is paid.
Optional, default = 1 = end of year.

Timing

Description

0

insurance paid at mid-year

1

insurance paid at end of year

 

CalculatonMethod

How to handle fractional ages.
Optional, default = 0.

Method

Description

0

interpolate on values at whole ages

1

interpolate on 𝑙𝑥 (UDD)

 

IssueAge

If using generational mortality projection, age at issue.
Optional, default = Age.