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Chapters19and21.docx

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