Oak Mountain Software

 

AnnuityValue

 

Example: Actuarial Equivalent Annuity

 

 

An individual, currently age 60, is due to receive $1,000 a month, starting at age 65, payable as a 10 Year Certain and Life annuity.

 

What is the actuarial equivalent monthly amount payable now as a 10 Year Certain and Life annuity?  Assume 5.5% and GAM 83 Unisex mortality.

 

Individual Age Display

 

Primary Assumptions

Table: 

40

Description: 

GATT GAM-83 50/50 UNISEX MORTALITY

Deferred Age: 

65 /  0

Interest: 

5.50%

Setback(-)/Setforward(+): 

0

qx Factor: 

1

Pay Freq: 

Monthly

Years Certain: 

10

Annuity Certain: 

7.760348

 

 

Primary Age Values - Age: 60 and 0 months

Annuity Factor

Description

12.757571

Immediate Life with 10 Year Certain

8.515247

Deferred Life to Age 65 and 0 months with 10 Year Certain

0.667466

Actuarial Equivalent to Age 65 and 0 months with 10 Year Certain

22.344993

Curtate Expectation of Life

 

 

Answer:

 

Period Payment

$1,000.00

Frequency of Payment

N/A

Annuity Factor

.667466

Product

$667.47