Review and Practice of Mortality
Risk Management (Life Insurance)
1. Lane Golden
has just purchased a universal life insurance policy from Midwest Great Life.
Initially, Lane pays a first-month premium of $100. Her policy has (1) a
front-end load of $2.00 per month; (2) a surrender charge equal to 100 percent
of the minimum first-year premiums of $1,200 ($100 per month), decreasing 20
percent of the original surrender charge per year until it disappears after
five years; (3) a current monthly mortality rate of $0.15 per $1,000 of
protection (amount at risk); and (4) a current monthly investment return of
0.667 percent. Her policy is a type B, with a level $100,000 protection
element.
a. Construct a
flow of funds statement, like the one in Figure 19.6, “Two Universal Death
Benefit Options”, for the first month of Lane’s policy.
Answer:
The flow of funds
for the first month of Lane’s policy;
Accumulation
Value-End of Previous Period
+
Flexible Premium Paid for Current Period
–
Front-End expense charges for Current Period
–
Morality charges for Current Period
–
Withdrawal and Policy Loans for Current Period
=
Accumulation Value subject to Investment Credits at Beginning of Current Period
+
Investment Return for Current Period
=
Accumulation Value-End of Current Period
–
Surrender Expenses for Current Period
=
Cash Value-End of Current Period
Now, assuming
that there are no withdrawals or policy loans for the current period and Lane
does not surrender the policy after the first month, we get;
$220
+ 100____________
– $2_____________
– $15___________
-
0_______
(Assuming that Lane does not make
any withdrawals or take policy loans)
= $103 ________
+ 66700______
= $66803___________
– $8333.33_____(Assuming that Lane
does not terminate the policy after the first month)
= $58,470
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Following this calculation the
Accumulation Value subject to Investment Credits at Beginning of Current
Period, Cash Value-End of Current Period, and Accumulation Value-End of Current
Period are $103, $58470, and $66803 respectively. While the above stated graph
represent these analysis in accordance with the type B investment element.
Chapter 21: Employment-Based and
Individual Longevity Risk Management
Review and Practice
1. The following
table shows the five employees of the law firm of Tayka, Mooney & Ruhn,
plus some information about each.
Employee
|
Age
|
Salary
|
Position
|
Tayka
|
37
|
$210,000
|
Partner
|
Mooney
|
34
|
$160,000
|
Partner
|
Ruhn
|
28
|
$110,000
|
Partner
|
Davies
|
38
|
$60,000
|
Associate
|
Edmundsen
|
27
|
$40,000
|
Paralegal
|
a. Rollings
Consultants explain to the owners of Tayka, Mooney & Ruhn the problems that
may occur with 401(k) plans. They show an example of how the company can fail
the ADP test and how highly paid employees would not be able to take all the
deductions they want. Pretend you are the Rollings consultant. Show such an
example and give the firm some methods to overcome this problem. Use the table
above to calculate an example and explain your answer.
Answer:
In 2018 the
maximum allowable compensation is $275,000;
Tayka, Mooney,
and Ruth contributes $18,500;
Davies
contributes $3,000;
Mooney
contributes $2,000;
The ADP test 1 will have the
following results regarding calculation of contribution as a percentage of
compensation.
|
-1
|
-2
|
-3
|
-4
|
-5
|
Employees
|
Current Age
|
Salary
|
Allowable Compensation
|
Voluntary 401(k)
|
Contribution As a Percentage of
|
Contribution
|
Compensation (4)/(3)
|
Tayka
|
37
|
$210,000
|
$18,500
|
401000
|
$21.68
|
Mooney
|
34
|
$160,000
|
$18,500
|
401000
|
$21.68
|
Ruhn
|
28
|
$110,000
|
$18,500
|
401000
|
$21.68
|
Davies
|
38
|
$60,000
|
$3,000
|
401000
|
$133.67
|
Edmundsen
|
27
|
$40,000
|
$2,000
|
401000
|
$200.50
|
|
|
$580,000
|
$60,500
|
|
|
The
above table show greater difference between the contribution percentage of
compensation among all employees with higher salaries and lower salaries. As a
result of this difference they will not capable to have all deductions they
want.
Test: 2
Another ADP test is conducted for
the company while changing the allowable compensation for the employees.
Allowable compensation package is increased for all employees. Now, new
compensation plan has reduced difference between the contribution value of these
employees in accordance to their compensation packages.
Employees
|
Current Age
|
Salary
|
Allowable Compensation
|
Voluntary 401(k)
|
Contribution As a Percentage of
|
Contribution
|
Compensation (4)/(3)
|
Tayka
|
37
|
$210,000
|
$20,000
|
401000
|
$20.05
|
Mooney
|
34
|
$160,000
|
$20,000
|
401000
|
$20.05
|
Ruhn
|
28
|
$110,000
|
$20,000
|
401000
|
$20.05
|
Davies
|
38
|
$60,000
|
$15,000
|
401000
|
$26.73
|
Edmundsen
|
27
|
$40,000
|
$15,000
|
401000
|
$26.73
|
|
|
$580,000
|
$90,000
|
|
|
b. If the company
decides to start a profit-sharing plan with $35,000 the first year, how much
will be allocated to each employee?
Answer:
Assuming that the
maximum allowable compensation is $275,000 in 2018;
|
-1
|
-2
|
-3
|
-4
|
-5
|
Employees
|
Current Age
|
Salary
|
Allowable
Compensation
|
Percentage of Pay
from Total
|
Allocation of
$35,000
|
Adjusted Payroll
(3)/570,000
|
Profits (4) ×
35,000
|
Tayka
|
37
|
$210,000
|
$20,000
|
3.51%
|
1228.070175
|
Mooney
|
34
|
$160,000
|
$20,000
|
3.51%
|
1228.070175
|
Ruhn
|
28
|
$110,000
|
$20,000
|
3.51%
|
1228.070175
|
Davies
|
38
|
$60,000
|
$15,000
|
2.63%
|
921.0526316
|
Edmundsen
|
27
|
$40,000
|
$15,000
|
2.63%
|
921.0526316
|
Total
|
|
580000
|
90000
|
|
|