Oak Mountain Software

 

AnnuityValue

 

Example: Joint & Contingent Annuity

 

 

An individual, age 57, and beneficiary age 60, wish to receive $1,500 monthly as a 75% Joint & Contingent annuity with 10 Year Certain.

 

How many dollars are needed today (present value) to pay for this benefit?  Assume 5.0% and GAR 1994 mortality.

 

Individual Age Display

 

Primary Assumptions

Table: 

58

Description: 

1994 GAR UNISEX MORTALITY

Deferred Age: 

65 /  0

Interest: 

5.00%

Setback(-)/Setforward(+): 

0

qx Factor: 

1

Pay Freq: 

Monthly

Years Certain: 

10

Annuity Certain: 

7.929306

 

 

 

Secondary Assumptions

Table: 

58

Description: 

1994 GAR UNISEX MORTALITY

Deferred Age: 

65 /  0

Interest: 

5.00%

Setback(-)/Setforward(+): 

0

qy Factor: 

1

Pay Freq: 

Monthly

Years Certain: 

10

Annuity Certain: 

7.929306

 

 

Joint Age Values
Primary Age: 57 and 0 months
Secondary Age: 60 and 0 months

Annuity Factor

Description

12.247628

Immediate Joint Life with 10 Year Certain

15.264204

Immediate 75% Joint & Contingent with 10 Year Certain

14.756316

Immediate 75% Joint & Survivor with 10 Year Certain

18.673779

Joint Curtate Expectation of Life

 

Answer:

 

Period Payment

$1,500.00

 

Frequency of Payment

12

 

Annuity Factor

15.264204

 

Product

$274,755.67

 

Description

Annuity of $1,500 payable every month as long as the participant is alive.

 

If the participant dies prior to the completion of the 10 year period, $1,500 monthly is payable to the beneficiary for the remainder of the 10 year period and then reduces to $1,125 monthly for the remainder of their life.

 

If the participant dies after the 10 year period has elapsed, $1,125 monthly is payable to the beneficiary for the remainder of their life.