Calculate the effect on the equilibrium interest rate in this market, as a result of the Federal Reserve action. The expected interest rate on a one-year discount bond will decrease increase decrease to 22%. (Round your intermediate calculations to the nearest whole number. Round your final answer to two decimal places.)<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To answer this question, we need to apply the bond pricing and interest rate relationship<\/strong>. While the question is partially incomplete, it seems to refer to the effect of Federal Reserve actions (like bond purchases)<\/strong> on the equilibrium interest rate<\/strong> in the bond market.<\/p>\n\n\n\n Let\u2019s assume the following typical scenario based on how the Federal Reserve<\/strong> usually operates:<\/p>\n\n\n\n This inverse relationship between bond prices and interest rates is key.<\/p>\n\n\n\n Let\u2019s say we are dealing with a one-year discount bond<\/strong> (zero-coupon bond). Suppose:<\/p>\n\n\n\n i=FV\u2212PPi = \\frac{FV – P}{P}<\/p>\n\n\n\n The interest rate will decrease to 22%<\/strong>. Multiply both sides by PP: 0.22P=100\u2212P0.22P = 100 – P<\/p>\n\n\n\n Add PP to both sides: 1.22P=1001.22P = 100 P=1001.22\u224881.97P = \\frac{100}{1.22} \\approx 81.97<\/p>\n\n\n\n New bond price = $81.97<\/strong> The Federal Reserve, as the central bank, influences the money supply and interest rates through open market operations<\/strong>\u2014primarily by buying or selling government bonds. When the Fed wants to stimulate the economy<\/strong>, it buys bonds<\/strong>, which increases demand for bonds. As demand for bonds increases, their prices rise<\/strong>.<\/p>\n\n\n\n This price rise causes the yield<\/strong> (or interest rate) on bonds to fall<\/strong>, because investors are paying more upfront for the same return at maturity. For example, a one-year discount bond with a face value of $100 that previously sold for $82 would yield a higher return than the same bond now selling for $91. The formula for the yield on a discount bond is: Interest Rate (i)=Face Value\u2212PricePrice\\text{Interest Rate (i)} = \\frac{\\text{Face Value} – \\text{Price}}{\\text{Price}}<\/p>\n\n\n\n Given the Fed\u2019s action, the bond price rises, and the interest rate drops. When we plug in the numbers and solve for the new price, we find the bond now sells for $81.97<\/strong>, implying a yield (interest rate) of 22.00%<\/strong>.<\/p>\n\n\n\n This change reflects a new equilibrium interest rate<\/strong> in the bond market, where the quantity of money supplied and demanded balances. The Fed\u2019s intervention effectively lowers market interest rates to encourage borrowing, investing, and spending in the broader economy.<\/p>\n\n\n\n Answer: The new equilibrium interest rate is 22.00%.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" Calculate the effect on the equilibrium interest rate in this market, as a result of the Federal Reserve action. The expected interest rate on a one-year discount bond will decrease increase decrease to 22%. (Round your intermediate calculations to the nearest whole number. Round your final answer to two decimal places.) The correct answer and […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-23091","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23091","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=23091"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23091\/revisions"}],"predecessor-version":[{"id":23092,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23091\/revisions\/23092"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23091"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23091"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23091"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nScenario Assumption:<\/h3>\n\n\n\n
\n
\n\n\n\nStep-by-Step Calculation:<\/h3>\n\n\n\n
\n
\n\n\n\nGiven:<\/h3>\n\n\n\n
We use this to find the new bond price<\/strong>: 0.22=100\u2212PP0.22 = \\frac{100 – P}{P}<\/p>\n\n\n\n
\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
New equilibrium interest rate = 22.00%<\/strong><\/p>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n