At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
The investor should invest $4,000 in AAA bonds, $3,000 in A bonds, and $2,000 in B bonds.
Explanation:
Note: This question is not complete as all the data in it are omitted. The complete question with the omitted is therefore presented before answering the question as follows:
An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 5%, on A bonds 6%, and on B bonds 9%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond under the following conditions? How much should be invested in each type of bond if the total investment is $9,000, and the investor wants an annual return of $560 on the three investments.
The explanation of the answer is now given as follows:
From the question, we have:
AAA = 2B
Total investment is therefore as follows:
2B + A + B = $9,000
3B + A = $9,000 …………………………. (1)
Annual return is also as follows:
(5% * 2B) + (6% * A) + (9% * B) = $560
0.1B + 0.06A + 0.09B = $560
0.1B + 0.09B + 0.06A = $560
0.19B + 0.06A = $560 …………………. (2)
From equation (1), we have:
A = $9,000 – 3B …………………………. (3)
Substituting A from equation (3) into equation (2), we have:
0.19B + 0.06($9,000 – 3B) = $560
0.19B + 540 – 0.18B = $560
0.19B – 0.18B = $560 - $540
0.01B = $20
B = $20 / 0.01
B = $2,000
Since:
AAA = 2B
Therefore, we have:
AAA = 2 * $2,000
AAA = $4,000
Substituting B = $2,000 into equation (3), we have:
A = $9,000 – (3 * $2,000)
A = $9,000 - $6,000
A = $3,000
By implication, we have total investment as follows:
AAA + A + B = $4,000 + $3,000 + $2,000 = $9,000
Therefore, the investor should invest $4,000 in AAA bonds, $3,000 in A bonds, and $2,000 in B bonds.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.