document.write( "Question 430019: Could anyone help me with the following?
\n" ); document.write( "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) \r
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\n" ); document.write( "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?
\n" ); document.write( "Thank you in advance!! \n" ); document.write( "
Algebra.Com's Answer #853239 by ikleyn(53742)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "(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)
\n" ); document.write( "(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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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is absolutely incorrect.\r
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
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\n" ); document.write( "\n" ); document.write( "        But first, I place an explanation on HOW BONDS WORK (from the Google Artificial Intelligence OVERVIEW).\r
\n" ); document.write( "\n" ); document.write( "        After that explanation, see my solution to your problem.\r
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document.write( "How bonds work (from the Google Artificial Intelligence OVERVIEW).\r\n" );
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document.write( "Bonds work like an IOU: you lend money to a government or company (the issuer) for a set period, and in return, they \r\n" );
document.write( "promise to pay you regular interest (coupons) and return your original investment (principal) on a specific maturity \r\n" );
document.write( "date, making them a fixed-income loan where you earn predictable payments and get your initial sum back, with market \r\n" );
document.write( "prices fluctuating inversely to interest rates. [1, 2, 3, 4, 5]  \r\n" );
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document.write( "How a Bond Works \r\n" );
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document.write( "1. Lending Money: When you buy a bond, you're essentially giving a loan to the entity that issues it (e.g., a company, \r\n" );
document.write( "   city, or country). [3, 6]  \r\n" );
document.write( "2. Coupon Payments (Interest): The issuer agrees to pay you fixed interest payments, called coupons, at regular intervals   \r\n" );
document.write( "   (like semi-annually). [1, 7]  \r\n" );
document.write( "3. Face Value/Principal: This is the original amount of the loan, which is repaid to you on the bond's maturity date. \r\n" );
document.write( "   [2,4]  \r\n" );
document.write( "4. Maturity Date: The date when the issuer must repay the principal to you, ending the bond. [3, 4]  \r\n" );
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document.write( "Example: \r\n" );
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document.write( "You buy a $1,000 bond with a 5% coupon rate maturing in 2 years. [1]  \r\n" );
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document.write( "• You receive $25 every six months ($1,000 x 5% / 2). \r\n" );
document.write( "• After two years, you get your original $1,000 back, plus the total interest earned. \r\n" );
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document.write( "Key Concepts \r\n" );
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document.write( "• Issuer: The borrower (government, corporation). [3, 4]  \r\n" );
document.write( "• Coupon Rate: The fixed interest rate paid to you. [2, 4]  \r\n" );
document.write( "• Yield: The actual return you get, which changes with market prices. [8]  \r\n" );
document.write( "• Interest Rate Risk: Bond prices move inversely to market interest rates; if rates rise, your existing bond's price \r\n" );
document.write( "  falls (and vice versa) because its fixed payments become less attractive. [2, 3, 9]  \r\n" );
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document.write( "Why People Buy Bonds [1, 10, 11]  \r\n" );
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document.write( "• Regular Income: For steady interest payments. \r\n" );
document.write( "• Capital Preservation: For the return of principal at maturity. \r\n" );
document.write( "• Diversification: To balance riskier stock investments in a portfolio. \r\n" );
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document.write( "Types of Bonds \r\n" );
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document.write( "• Government Bonds: Issued by national governments, generally considered safer (e.g., U.S. Treasuries). [4, 12]  \r\n" );
document.write( "• Corporate Bonds: Issued by companies, carrying higher risk (credit risk) but potentially higher yields. [4, 12]  \r\n" );
document.write( "• Municipal Bonds (Munis): Issued by state and local governments, often offering tax advantages. [6]  \r\n" );
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document.write( "AI responses may include mistakes.\r\n" );
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document.write( "[1] https://investor.vanguard.com/investor-resources-education/understanding-investment-types/what-is-a-bond\r\n" );
document.write( "[2] https://dfi.wa.gov/financial-education/information/basics-investing-bonds\r\n" );
document.write( "[3] https://www.investopedia.com/terms/b/bond.asp\r\n" );
document.write( "[4] https://www.youtube.com/watch?v=qQAxLF_bJDc\r\n" );
document.write( "[5] https://www.merrilledge.com/article/understanding-bonds-and-their-risks\r\n" );
document.write( "[6] https://www.schwab.com/learn/story/what-are-bonds-understanding-bond-types-and-how-they-work\r\n" );
document.write( "[7] https://www.nerdwallet.com/investing/learn/what-is-a-bond\r\n" );
document.write( "[8] https://www.bbc.co.uk/news/10093437\r\n" );
document.write( "[9] https://www.getsmarteraboutmoney.ca/learning-path/videos/bonds-101-what-is-a-bond-2/\r\n" );
document.write( "[10] https://www.youtube.com/watch?v=vAdn7aLHpO0\r\n" );
document.write( "[11] https://www.fidelity.com/learning-center/investment-products/fixed-income-bonds/what-is-a-bond\r\n" );
document.write( "[12] https://www.youtube.com/watch?v=Zn3Ixr-OiF4\r\n" );
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\n" ); document.write( "\n" ); document.write( "                Now to the solution of your problem\r
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document.write( "Face value (Principal) is $24000.\r\n" );
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document.write( "They want you find the semiannual interest payment at the annual rate 6.875% during 10 years.\r\n" );
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document.write( "It means that after bying their bond, you get from Proctor & Gamble  \r\n" );
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document.write( "\"%280.06875%2F2%29%2A24000\" = $825 every 6 months during 10 years.\r\n" );
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document.write( "At the end of 10 years, you get $24000 back from Proctor and Gamble.\r\n" );
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document.write( "So, the answer to question (a) is THIS: you get $825 dollars from Proctor & Gamble semiannually during 10 years.\r\n" );
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document.write( "    The answer to question (b) is THIS: total amount of interest earned on this bond in 10 years is \r\n" );
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document.write( "        2*10*825 = 16500 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
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\n" ); document.write( "\n" ); document.write( "Keep in your mind that @mananth tries to teach others WITHOUT KNOWING THE SUBJECT.\r
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