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how to construct the term structure of interest rate and default yield spreads variable? It is...

how to construct the term structure of interest rate and default yield spreads variable? It is better to list the steps

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Expert Solution

Term structure of interest rates, commonly known as the yield curve, depicts the interest rates of similar quality bonds at different maturities.

Essentially, term structure of interest rates is the relationship between interest rates or bond yields and different terms or maturities. When graphed, the term structure of interest rates is known as a yield curve, and it plays a crucial role in identifying the current state of an economy. The term structure of interest rates reflects expectations of market participants about future changes in interest rates and their assessment of monetary policy conditions.

In general terms, yields increase in line with maturity, giving rise to an upward-sloping, or normal, yield curve. The yield curve is primarily used to illustrate the term structure of interest rates for standard U.S. government-issued securities. This is important as it is a gauge of the debt market's feeling about risk. The most frequently reported yield curve compares the three-month, two-year, five-year, 10-year, and 30-year U.S. Treasury debt. (Yield curve rates are usually available at the Treasury's interest rate web sites by 6:00 p.m. ET each trading day),

The term of the structure of interest rates has three primary shapes.

  1. Upward sloping—long term yields are higher than short term yields. This is considered to be the "normal" slope of the yield curve and signals that the economy is in an expansionary mode.
  2. Downward sloping—short term yields are higher than long term yields. Dubbed as an "inverted" yield curve and signifies that the economy is in, or about to enter, a recessive period.
  3. Flat—very little variation between short and long term yields. Signals that the market is unsure about the future direction of the economy.

    The U.S. Treasury Yield Curve

    This yield curve is considered the benchmark for the credit market, as it reports the yields of risk-free fixed income investments across a range of maturities. In the credit market, banks and lenders use this benchmark as a gauge for determining lending and savings rates. Yields along the U.S. Treasury yield curve are primarily influenced by the Federal Reserve’s federal funds rate. Other yield curves can also be developed based upon a comparison of credit investments with similar risk characteristics.

    Most often, the Treasury yield curve is upward-sloping. One basic explanation for this phenomenon is that investors demand higher interest rates for longer-term investments as compensation for investing their money in longer-duration investments. Occasionally, long-term yields may fall below short-term yields, creating an inverted yield curve that is generally regarded as a harbinger of recession.


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