reading 38: Risk management/Private Wealth: the Schmitt family (

CFAI book 6, page 339, in the “Schmitt family” case.

At age 45, I fail to recompute Paul’s and Jessica’s human capital in the economic balance sheet.

CFAI shows Paul’s human capital = 798,000 and Jessica’s human capital = 1,093,000

Inputs:

Jessica salary before taxes = 80000

nb periods = 20

Salary growth=5%

Discount rate = 3%

Risk adjustment=1%

I compute adjusted rate as (1+discount+risk adjustment)/(1+growth):

for jessica adjusted rate = (1+3%+1%)/(1+5%)= -0.95%

PV for Jessica=PV(-0.95%,20,80000,1) as annuity due in excel = 1,754,941

then multiply by 92% probability rate (given in the text)

HC for Jessica=1,614,546

Is anyone able willing to help? Is the HC based on the after-tax salary? Or does the CFAI use a different mortality table (ie a % different from 92% at each period)?

Use 53,650 instead of 80,000.

thanks, I get a result of HC 1083755 for Jessica, close enough :slight_smile:

Thanks!


In the same example, page 344,“need analysis method”, I am not able to recompute the PV of survivor’s income:

For Jessica: CFAI shows 777,000 for PV of survivor income

periods=20 (currently age 45, until retirement at 65)

adjusted rate=(1+discount 3%)/(1+nominal increase 1%)-1= 1.98%

after-tax salary: assume 53,650

PV(1.98%,20,53650,1) = 896,337

Could you review my numbers?

Thanks

That’s off from my number. Try this.

END Mode

PMT = 53650

FV = 0

N = 20

I/Y = -0.95238095 (It works with -0.95)

[CPT] [PV] -1,187,914.944

Then 92% × 1,187,914.944 = -1,092,881.748

I think you misunderstood the context of “survivor” in this case.

For the column on Jessica, if she dies today, the survivor is Paul , hence the PV of survivor income is computed as:

BGN mode (Annuity due)

PV = 46,510 (Paul’s after-tax income)

I/Y = 1.9802

N = 20

FV = 0

[CPT] [PV] -$777,049

Thank you for your help!

How did you get the same number for Paul’s HC ($798,000)
Here is what I did:
END Mode
PMT = 46,510
N = 20
I/Y = (1.03/1.02) - 1 = 0.98%
FV = 0
Then I got a PV = 840,991.212
92% * 840,991.212 = 773,711.91

I will be appreciative if you can show me your calculation! Thanks!

I got the same number as you. Can anyone explain this ?

Magician??