FIN 330 – Homework Chapters 19 and 21
Chapter 19: Mortality Risk Management (Life Insurance)
Review and Practice
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;
$0
+ ___________
__
– _____________
– _____________
– _______ (Assuming that Lane does not make any withdrawals or take policy loans)
= ___________
+ ___________
= ___________
– _____(Assuming that Lane does not terminate the policy after the first month)
= ___________
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;
(1)
(2)
(3)
(4)
(5)
Employees
Current Age
Salary
Allowable Compensation
Voluntary 401(k)
Contribution
Contribution As a Percentage of
Compensation (4)/(3)
Tayka
37
$
$
$
Mooney
34
$
$
$
Ruhn
28
$
$
$
Davies
38
$
$
$
Edmundsen
27
$
$
$
ADP Test 1:
ADP Test 2:
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
Adjusted Payroll (3)/570,000
Allocation of $35,000
Profits (4) × 35,000
Tayka
37
Mooney
34
Ruhn
28
Davies
38
Edmundsen
27
Total