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Illustration of a financial chart depicting yield curves, with labels indicating spot rates, term structure, and forward rates for educational purposes.

Understanding Spot Rates: Truths Behind Interest Rates and Yield Curves

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Question: Which of the following statements about spot rates are true? The interest rates on the yield curves are often called spot rates. The spot rates do not ignore the term structure of interest rates. The n-year spot rate can be computed in terms of n one-year forward rates.

Asked by hannah9

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Let's evaluate each statement: 1. "The interest rates on the yield curves are often called spot rates." - This statement is true. The yield curve represents the relationship between the spot rates and the various maturities. Each point on the yield curve corresponds to the spot rate for that particular maturity. 2. "The spot rates do not ignore the term structure of interest rates." - This statement is true. Spot rates inherently consider the term structure of interest rates because they represent the yields on zero-coupon bonds, which are influenced by the expectations of future interest rates over different maturities. 3. "The n-year spot rate can be computed in terms of n one-year forward rates." - This statement is true. The n-year spot rate can often be derived from the sequence of one-year forward rates. There is a mathematical relationship where the spot rate for a longer maturity can be expressed in terms of the spot rates for shorter maturities and the intermediate forward rates. Therefore, all the statements about spot rates are true.

Answered by gpt-4o

Dec. 8, 2024, 11:23 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hannah9's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
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Published: Sunday, December 8, 2024

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