Question 430019
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(a) What would be the semiannual interest payment on a $24,000 Proctor and Gamble 10-year bond at 6.875%? (round to the nearest dollar)
(b) What would be total amount of interest earned on a $24,000 Proctor and Gamble 10-year bond at 6.875% over the entire life of the bond?
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        The solution in the post by @mananth is absolutely incorrect.

        See my correct solution below.


        But first, I place an explanation on HOW BONDS WORK  (from the Google Artificial Intelligence OVERVIEW).

        After that explanation, see my solution to your problem.



<pre>
How bonds work (from the Google Artificial Intelligence OVERVIEW).

Bonds work like an IOU: you lend money to a government or company (the issuer) for a set period, and in return, they 
promise to pay you regular interest (coupons) and return your original investment (principal) on a specific maturity 
date, making them a fixed-income loan where you earn predictable payments and get your initial sum back, with market 
prices fluctuating inversely to interest rates. [1, 2, 3, 4, 5]  

How a Bond Works 

1. Lending Money: When you buy a bond, you're essentially giving a loan to the entity that issues it (e.g., a company, 
   city, or country). [3, 6]  
2. Coupon Payments (Interest): The issuer agrees to pay you fixed interest payments, called coupons, at regular intervals   
   (like semi-annually). [1, 7]  
3. Face Value/Principal: This is the original amount of the loan, which is repaid to you on the bond's maturity date. 
   [2,4]  
4. Maturity Date: The date when the issuer must repay the principal to you, ending the bond. [3, 4]  

Example: 

You buy a $1,000 bond with a 5% coupon rate maturing in 2 years. [1]  

• You receive $25 every six months ($1,000 x 5% / 2). 
• After two years, you get your original $1,000 back, plus the total interest earned. 

Key Concepts 

• Issuer: The borrower (government, corporation). [3, 4]  
• Coupon Rate: The fixed interest rate paid to you. [2, 4]  
• Yield: The actual return you get, which changes with market prices. [8]  
• Interest Rate Risk: Bond prices move inversely to market interest rates; if rates rise, your existing bond's price 
  falls (and vice versa) because its fixed payments become less attractive. [2, 3, 9]  

Why People Buy Bonds [1, 10, 11]  

• Regular Income: For steady interest payments. 
• Capital Preservation: For the return of principal at maturity. 
• Diversification: To balance riskier stock investments in a portfolio. 

Types of Bonds 

• Government Bonds: Issued by national governments, generally considered safer (e.g., U.S. Treasuries). [4, 12]  
• Corporate Bonds: Issued by companies, carrying higher risk (credit risk) but potentially higher yields. [4, 12]  
• Municipal Bonds (Munis): Issued by state and local governments, often offering tax advantages. [6]  

AI responses may include mistakes.

[1] https://investor.vanguard.com/investor-resources-education/understanding-investment-types/what-is-a-bond
[2] https://dfi.wa.gov/financial-education/information/basics-investing-bonds
[3] https://www.investopedia.com/terms/b/bond.asp
[4] https://www.youtube.com/watch?v=qQAxLF_bJDc
[5] https://www.merrilledge.com/article/understanding-bonds-and-their-risks
[6] https://www.schwab.com/learn/story/what-are-bonds-understanding-bond-types-and-how-they-work
[7] https://www.nerdwallet.com/investing/learn/what-is-a-bond
[8] https://www.bbc.co.uk/news/10093437
[9] https://www.getsmarteraboutmoney.ca/learning-path/videos/bonds-101-what-is-a-bond-2/
[10] https://www.youtube.com/watch?v=vAdn7aLHpO0
[11] https://www.fidelity.com/learning-center/investment-products/fixed-income-bonds/what-is-a-bond
[12] https://www.youtube.com/watch?v=Zn3Ixr-OiF4
</pre>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Now to the solution of your problem


<pre>
Face value (Principal) is $24000.

They want you find the semiannual interest payment at the annual rate 6.875% during 10 years.


It means that after bying their bond, you get from Proctor & Gamble  

{{{(0.06875/2)*24000}}} = $825 every 6 months during 10 years.


At the end of 10 years, you get $24000 back from Proctor and Gamble.


So, the answer to question (a) is THIS: you get $825 dollars from Proctor & Gamble semiannually during 10 years.


    The answer to question (b) is THIS: total amount of interest earned on this bond in 10 years is 

        2*10*825 = 16500 dollars.
</pre>

Solved, answered and explained.


Keep in your mind that @mananth tries to teach others WITHOUT KNOWING THE SUBJECT.