JJ is the financial manager in charge of the company pension fund at Arm Inc. JJ knows that the fund must be sufficient to make the payments listed in Table. Each payment must be made on the first day of each year. JJ is going to finance these payments by purchasing bonds. It is currently January 1 of year 1, and three bonds are available for immediate purchase. The prices and coupons for the bonds are as follows. (We assume that all coupon payments are received on January 1 and arrive in time to meet cash demands for the year on which they arrive.) ▪ Bond 1 costs $980 and yields a $60 coupon in the years 2 through 5 and a $1060 payment on maturity in the year 6. ▪ Bond 2 costs $970 and yields a $65 coupon in the years 2 through 11 and a $1065 payment on maturity in the year 12. 1 Bond 3 costs $1050 and yields a $75 coupon in the years 2 through 14 and a $1075 payment on maturity in the year 15. JJ must decide how much cash to allocate (from company coffers) to meet the initial $11,000 payment and buy enough bonds to make future payments. He knows that any excess cash on hand can earn an annual rate of 4% in a fixed-rate account. How should he proceed? Ano Pagamento $ 1 11.000 2 12.000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 77P
icon
Related questions
Question

JJ is the financial manager in charge of the company pension fund at Arm Inc. JJ knows that the fund must be sufficient to make the payments listed in Table. Each payment must be made on the first day of each year. JJ is going to finance these payments by purchasing bonds. It is currently January 1 of year 1, and three bonds are available for immediate purchase. The prices and coupons for the bonds are as follows. (We assume that all coupon payments are received on January 1 and arrive in time to meet cash demands for the year on which they arrive.)

■ Bond 1 costs $980 and yields a $60 coupon in the years 2 through 5 and a $1060 payment on maturity in the year 6.
■ Bond 2 costs $970 and yields a $65 coupon in the years 2 through 11 and a $1065

payment on maturity in the year 12.
■ Bond 3 costs $1050 and yields a $75 coupon in the years 2 through 14 and a $1075
payment on maturity in the year 15.
JJ must decide how much cash to allocate (from company coffers) to meet the initial $11,000 payment and buy enough bonds to make future payments. He knows that any excess cash on hand can earn an annual rate of 4% in a fixed-rate account. How should he proceed?

4) JJ is the financial manager in charge of the company pension fund at Arm Inc. JJ
knows that the fund must be sufficient to make the payments listed in Table. Each
payment must be made on the first day of each year. JJ is going to finance these
payments by purchasing bonds. It is currently January 1 of year 1, and three bonds
are available for immediate purchase. The prices and coupons for the bonds are
as follows. (We assume that all coupon payments are received on January 1 and
arrive in time to meet cash demands for the year on which they arrive.)
1 Bond 1 costs $980 and yields a $60 coupon in the years 2 through 5 and a $1060
payment on maturity in the year 6.
1 Bond 2 costs $970 and yields a $65 coupon in the years 2 through 11 and a
$1065
payment on maturity in the year 12.
1 Bond 3 costs $1050 and yields a $75 coupon in the years 2 through 14 and a
$1075
payment on maturity in the year 15.
JJ must decide how much cash to allocate (from company coffers) to meet the
initial $11,000 payment and buy enough bonds to make future payments. He
knows that any excess cash on hand can earn an annual rate of 4% in a fixed-rate
account. How should he proceed?
Ano
Pagamento
$
1
11.000
2
12.000
Transcribed Image Text:4) JJ is the financial manager in charge of the company pension fund at Arm Inc. JJ knows that the fund must be sufficient to make the payments listed in Table. Each payment must be made on the first day of each year. JJ is going to finance these payments by purchasing bonds. It is currently January 1 of year 1, and three bonds are available for immediate purchase. The prices and coupons for the bonds are as follows. (We assume that all coupon payments are received on January 1 and arrive in time to meet cash demands for the year on which they arrive.) 1 Bond 1 costs $980 and yields a $60 coupon in the years 2 through 5 and a $1060 payment on maturity in the year 6. 1 Bond 2 costs $970 and yields a $65 coupon in the years 2 through 11 and a $1065 payment on maturity in the year 12. 1 Bond 3 costs $1050 and yields a $75 coupon in the years 2 through 14 and a $1075 payment on maturity in the year 15. JJ must decide how much cash to allocate (from company coffers) to meet the initial $11,000 payment and buy enough bonds to make future payments. He knows that any excess cash on hand can earn an annual rate of 4% in a fixed-rate account. How should he proceed? Ano Pagamento $ 1 11.000 2 12.000
3
14.000
4
15.000
5
16.000
18.000
7
20.000
8.
21.000
9.
22.000
10
24.000
11
25.000
12
30.000
13
31.000
14
31.000
15
31.000
Transcribed Image Text:3 14.000 4 15.000 5 16.000 18.000 7 20.000 8. 21.000 9. 22.000 10 24.000 11 25.000 12 30.000 13 31.000 14 31.000 15 31.000
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Optimization models
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,