1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastasy [175]
2 years ago
5

Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will

resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.5 million per year to beneficiaries. The yield to maturity on all bonds is 17.5%.
Required:
a. If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 4 years and the duration of 25-year maturity bonds with coupon rates of 9% (paid annually) is 16 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation?
b. What will be the par value of your holdings in the 25-year coupon bond?
Business
1 answer:
Solnce55 [7]2 years ago
6 0

Answer:

Duration of liability (perpetual) = (1 + y) / y

= (1 + 17.5%) / 17.5%

= 6.71

Value of liability = Cash Flow / yield

= $3.5 million / 17.5%

= $20 million

a. Assume you invest w in 5-year bond and 1-w in 25-year bond such that the duration of the portfolio is 6.71

6.71 = w x 4 + (1 - w) x 16

w = (16 - 6.71) / (16 - 4)

w = 77% in 5-year bond

1 - w = 28% in 25 year bond

Market Value of 5 year bond = 77% * $20 million = $15.4 million

Market Value of 20 year bond = 23% * $20 million = $4.6 million

b. Market Price of 20 year bond can be calculated using PV function on a calculator

N = 25, I/Y = 17.5%, PMT = 9, FV = 100

Price = Present Value (25,17.5%, 9 ,100)

Price = 52.29042644

Price = $52.30

Par Value of 25 year bond = Market Value /% Price

Par Value of 25 year bond = $4.6 million / 50.83%

Par Value of 25 year bond = $9,049,774

You might be interested in
A Registered Representative sold a deferred variable annuity to an unmarried 18 year old high school senior who had just inherit
vova2212 [387]

Answer:

c)

Explanation:

The costumer has no spouse or dependents.  This negates the value of the death benefit.  The founds has no liquid due to the surrender fees, and there is also 10% penalty on withdrawals before age 59.5

3 0
3 years ago
What is supply-side fiscal polioy? Identify each policy action as being focused on the demand side, the supply side, or both. Dr
Advocard [28]

Answer: Please refer to Explanation

Explanation:

Supply Side Fiscal Policy focuses on how to improve the ability of companies to supply more goods to the economy. The aim being that as companies supply more, they grow more and employ more people.

Demand Side Fiscal Policy on the other hand focuses on how to give more power to the Demand side of the Economy. It holds that increasing demand leads to increased supply which is good for the economy.

Classifying the above,

1. research grants for a corporation developing new technologies. SUPPLY SIDE.

This is aimed at increasing supply by improving the ways a company is able to produce it's goods and services.

2. government-funded scholarships for college students. SUPPLY SIDE.

This is supply side because it leads to more Colleges offering placement to students.

3. stimulus packages for firms that are "too big to fail". DEMAND SIDE.

Companies considered Too big to fail usually hire a lot of people. Keeping them running leads to them being able to pay off their employees which increases the demand in the economy.

4. increasing spending on "shovel-ready" projects. DEMAND SIDE.

Shovel Ready projects are those that are ready to be initiated. By increasing spending on them, they hire people immediately and begin work which increases the income flowing to people in the economy which increases demand.

5. lowering income tax rates at all income levels. BOTH.

By lowering income tax levels people are both able to spend more which increases demand as well as able to Invest more in companies which will increases supply.

8 0
3 years ago
On September 1, Sky Mountain Co. borrowed $54,000 on a 6%, 9-month note payable to Coast National Bank. Given no previous adjust
REY [17]

Answer:

Sky Mountain's adjusting entry four months later at December 31 would include:

Debit Interest expense $1,080

Credit  Interest Payable $1,080

Explanation:

Sky Mountain Co. borrowed $54,000 on a 6% note payable to Coast National Bank.

The amount of interest for 1 year = $54,000 x 6% = $3,240

The amount of interest for 1 month = $3,240/12 = $270

From September 1 to December 31, in Sky Mountain Co.

The amount of interest expense =  $270 x 4 = $1,080

Sky Mountain's adjusting entry at December 31:

Debit Interest expense $1,080

Credit  Interest Payable $1,080

6 0
3 years ago
You would like to generate a number of potential ideas. What type of thinking would best facilitate this?a. Egocentric Tendencie
hammer [34]

Answer:

The correct answer is letter "C": Critical Thinking.

Explanation:

Critical Thinking is the type of thinking that allows individuals to discriminate and have a particular judgment over a specific matter. It helps by determining accuracy and validity on that topic by gathering a certain quantity of information to then highlight the most relevant.

7 0
3 years ago
What is laissez faire?
Masja [62]
The correct answer is D.
7 0
3 years ago
Read 2 more answers
Other questions:
  • One of the goals of the federal reserve is price stability. for the fed to achieve this​ goal,
    10·1 answer
  • What forces have caused cost and management accounting systems designed decades ago to become less relevant and less valuable fo
    13·1 answer
  • Shay is preparing to go into her meeting with her supervisor, Jill, to discuss her annual evaluation. She knows that there have
    9·1 answer
  • Lupo Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on machine-hours. The
    7·1 answer
  • Charles is a consultant living in a rented apartment. Which of the following statements would represent a logical position for h
    12·1 answer
  • Social security payments are normally deducted from paychecks. True False
    8·2 answers
  • Prior to the merger, Firm A has $1,250 in total earnings with 750 shares outstanding at a market price per share of $42. Firm B
    6·1 answer
  • Many people moved to the Sunbelt to take new jobs in
    6·2 answers
  • Munoz Sporting Equipment manufactures baseball bats and tennis rackets. Department B produces the baseball bats, and Department
    9·1 answer
  • What are two examples of Secondary or non-core activities?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!