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]
3 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]3 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
Many businesses choose to open their intranets to other selected organizations through the use of?
ololo11 [35]

Many businesses choose to open their intranets to other selected organizations through the use of <u>extranet</u>.

An intranet is a private network that is used for restricted communication within a business. It is used to share information and resources among employees in a secure manner, and enables collaboration and other services.

An extranet is also a private network, but is used by businesses to provide secure information to trust third parties. These third parties may be vendors, suppliers, partners, customers, etc. It is in some sense an extension of the intranet. The information shared is tightly controlled and only authorized users are allowed to access it

To learn more about extranets: brainly.com/question/13263185?

#SPJ4

7 0
2 years ago
Judy Olsen, Kristy Johnston, and their mother, Joyce Johnston, owned seventy-eight acres of real property on Eagle Creek in Meag
nalin [4]

Answer:

Yes, Judy and Kristy do have an enforceable contract.

Explanation:

Kristy made a valid offer to Judy and Judy accepted.

In the offer letter, Kristy told Judy to "please respond to Bruce Townsend", but she did not specify that the only proper mode of acceptance was the response to Bruce. Since she did not specify that Judy could not respond directly to her, Judy's letter of acceptance to Kristy's offer is valid.

3 0
3 years ago
Explain the 4 p's of innovation
nirvana33 [79]

Answer:

product, process, position, and paradigm and defined as follows: Product: innovation is the first thing that comes to mind when talking about innovation and conveys the changes in the things (products/services) that an organization offers. Process: a series of actions or steps taken to achieve a particular end. Position: a situation or set of circumstances, especially one that affects one's power to act. Paradigm: a worldview underlying the theories and methodology of a particular scientific subject.

Explanation:

3 0
3 years ago
Haver Company currently produces component RX5 for its sole product. The current cost per unit to manufacture the required 50,00
pochemuha

Answer:

The incremental costs of making and buying component RX5 is $100,000

Explanation:

For computing the increment cost of making and buying component RX5, first we have to compute the cost of making and buying component RX5 separately.

Cost of making includes:

Direct Material = 50,000 × $5 = $250,000

Direct Labor = 50,000 × 9 = $450,000

Variable Overhead cost = 50,000 × 10 × 30% = $150,000

So, total cost of making = Direct material cost + direct labor cost + variable overhead cost

= $250,000 + $450,000 + $150,000

= $850,000

Now, the cost of buying component is equals to

=  units × RX5 per unit

= 50,000 × $19

= $950,000

So, the incremental costs of making and buying component RX5 is equals to

= cost of making - cost of buying component

= $950,000 - $850,000

= $100,000

Hence,  the incremental costs of making and buying component RX5 is $100,000

7 0
4 years ago
Which of the following tasks would be very difficult using only a keyboard and text?
adell [148]
The most difficult would be drawing a picture. Not sure how you would do that with a keyboard and text.
4 0
3 years ago
Read 2 more answers
Other questions:
  • The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a w
    8·2 answers
  • Billy Bean, Beth Bean, Barbara Bean, Brooke Bean, and Beanie Bean make up the Bean family. Brooke sees a commercial for a revolu
    10·1 answer
  • Technician a says that wheel concentricity problems may simulate a tire that is out of balance. technician b says that tire conc
    7·1 answer
  • Suppose the current exchange rate between the U.S. dollar and the Mexican peso is $0.10 = 1 peso. Furthermore, suppose the price
    7·1 answer
  • Sheffield Corporation purchased machinery on January 1, 2017, at a cost of $250,000. The estimated useful life of the machinery
    6·1 answer
  • Use the following information for the Exercises below. Skip to question [The following information applies to the questions disp
    9·1 answer
  • To maximize profitability and competitiveness, firms must:
    10·1 answer
  • When the market rate is 8%, a company issues $50,000 of 9%, 10-year bonds and pay interest semiannually for a selling price of $
    6·1 answer
  • What is Installment credit? <br> (In your own words, please and thank you!!! :)
    13·2 answers
  • Question 2 of 10
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!