###### Par and Forward Rates

Par Rates A par rate is the yield-to-maturity that equates the present value... **Read More**

– LOS 42b: describe content of a bond indenture

– LOS 42c: compare affirmative and negative covenants and identify examples of each

– LOS 42d: describe how legal, regulatory, and tax considerations affect the issuance and trading of fixed-income securities

– LOS 42e: describe how cash flows of fixed-income securities are structured

– LOS 42f: describe contingency provisions affecting the timing and/or nature of cash flows of fixed-income securities and identify whether such provisions benefit the borrower or the lender

– LOS 42g: describe different types of bonds and their specific features

– LOS 43b: describe the use of interbank offered rates as reference rates in floating-rate debt

– LOS 43c: describe mechanisms available for issuing bonds in primary markets

– LOS 43d: describe secondary markets for bonds

– LOS 43e: describe securities issued by sovereign governments

– LOS 43f: describe securities issued by non-sovereign governments, quasi-government entities, and supranational agencies

– LOS 43g: describe types of debt issued by corporations

– LOS 43h: describe structured financial instruments

– LOS 43i: describe short-term funding alternatives available to banks

– LOS 43j: describe repurchase agreements and the risks associated with them

– LOS 44b: identify the relationships among a bond’s price, coupon rate, maturity, and market discount rate (yield-to-maturity)

– LOS 44c: define spot rates and calculate the price of a bond using spot rates

– LOS 44d: describe and calculate the flat price, accrued interest, and the full price of a bond

– LOS 44e: describe matrix pricing

– LOS 44f: calculate annual yield on a bond for varying compounding periods in a year

– LOS 44g: calculate and interpret yield measures for fixed-rate bonds and floating-rate notes – LOS 44h: calculate and interpret yield measures for money market instruments

– LOS 44i: define and compare the spot curve, yield curve on coupon bonds, par curve, and forward curve

– LOS 44j: define forward rates and calculate spot rates from forward rates, forward rates from spot rates, and the price of a bond using forward rates

– LOS 44k: compare, calculate, and interpret yield spread measures

– LOS 45b: describe securitization, including the parties involved in the process and the roles they play

– LOS 45c: describe typical structures of securitizations, including credit tranching and time tranching

– LOS 45d: describe types and characteristics of residential mortgage loans that are typically securitized

– LOS 45e: describe types and characteristics of residential mortgage-backed securities, including mortgage pass-through securities and collateralized mortgage obligations, and explain the cash flows and risks for each type

– LOS 45f: define prepayment risk and describe the prepayment risk of mortgage-backed securities

– LOS 45g: describe characteristics and risks of commercial mortgage-backed securities

– LOS 45h: describe types and characteristics of non-mortgage asset-backed securities, including the cash flows and risks of each type

– LOS 45i: describe collateralized debt obligations, including their cash flows and risks

– LOS 46b: define, calculate, and interpret Macaulay, modified, and effective durations

– LOS 46c: explain why effective duration is the most appropriate measure of interest rate risk for bonds with embedded options

– LOS 46d: define key rate duration and describe the use of key rate durations in measuring the sensitivity of bonds to changes in the shape of the benchmark yield curve

– LOS 46e: explain how a bond’s maturity, coupon, and yield level affect its interest rate risk

– LOS 46f: calculate the duration of a portfolio and explain the limitations of portfolio duration

– LOS 46g: calculate and interpret the money duration of a bond and price value of a basis point (PVBP)

– LOS 46h: calculate and interpret approximate convexity and distinguish between approximate and effective convexity

– LOS 46i: estimate the percentage price change of a bond for a specified change in yield, given the bond’s approximate duration and convexity

– LOS 46j: describe how the term structure of yield volatility affects the interest rate risk of a bond

– LOS 46k: describe the relationships among a bond’s holding period return, its duration, and the investment horizon

– LOS 46l: explain how changes in credit spread and liquidity affect yield-to-maturity of a bond and how duration and convexity can be used to estimate the price effect of the changes

– LOS 47b: describe default probability and loss severity as components of credit risk

– LOS 47c: describe seniority rankings of corporate debt and explain the potential violation of the priority of claims in a bankruptcy proceeding

– LOS 47d: distinguish between corporate issuer credit ratings and issue credit ratings and describe the rating agency practice of “notching”

– LOS 47e: explain risks in relying on ratings from credit rating agencies

– LOS 47f: explain the four Cs (Capacity, Collateral, Covenants, and Character) of traditional credit analysis

– LOS 47g: calculate and interpret financial ratios used in credit analysis

– LOS 47h: evaluate the credit quality of a corporate bond issuer and a bond of that issuer, given key financial ratios of the issuer and the industry

– LOS 47i: describe factors that influence the level and volatility of yield spreads

– LOS 47j: explain special considerations when evaluating the credit of high yield, sovereign, and non-sovereign government debt issuers and issues

– LOS 42b: describe content of a bond indenture

– LOS 42c: compare affirmative and negative covenants and identify examples of each

– LOS 42d: describe how legal, regulatory, and tax considerations affect the issuance and trading of fixed-income securities

– LOS 42e: describe how cash flows of fixed-income securities are structured

– LOS 42f: describe contingency provisions affecting the timing and/or nature of cash flows of fixed-income securities and identify whether such provisions benefit the borrower or the lender

– LOS 42x: describe different types of bonds and their specific features

– LOS 43b: describe the use of interbank offered rates as reference rates in floating-rate debt

– LOS 43c: describe mechanisms available for issuing bonds in primary markets

– LOS 43d: describe secondary markets for bonds

– LOS 43e: describe securities issued by sovereign governments

– LOS 43f: describe securities issued by non-sovereign governments, quasi-government entities, and supranational agencies

– LOS 43g: describe types of debt issued by corporations

– LOS 43h: describe structured financial instruments

– LOS 43i: describe short-term funding alternatives available to banks

– LOS 43j: describe repurchase agreements and the risks associated with them

– LOS 44d: describe and calculate the flat price, accrued interest, and the full price of a bond

– LOS 44e: describe matrix pricing

– LOS 44f: calculate annual yield on a bond for varying compounding periods in a year

– LOS 44g: calculate and interpret yield measures for fixed-rate bonds and floating-rate notes – LOS 44h: calculate and interpret yield measures for money market instruments

– LOS 44i: define and compare the spot curve, yield curve on coupon bonds, par curve, and forward curve

– LOS 44j: define forward rates and calculate spot rates from forward rates, forward rates from spot rates, and the price of a bond using forward rates

– LOS 44k: compare, calculate, and interpret yield spread measures

– LOS 45b: describe securitization, including the parties involved in the process and the roles they play

– LOS 45c: describe typical structures of securitizations, including credit tranching and time tranching

– LOS 45d: describe types and characteristics of residential mortgage loans that are typically securitized

– LOS 45e: describe types and characteristics of residential mortgage-backed securities, including

mortgage pass-through securities and collateralized mortgage obligations, and explain the cash flows and risks for each type

– LOS 45f: define prepayment risk and describe the prepayment risk of mortgage-backed securities

– LOS 45g: describe characteristics and risks of commercial mortgage-backed securities

– LOS 45h: describe types and characteristics of non-mortgage asset-backed securities, including the cash flows and risks of each type

– LOS 45i: describe collateralized debt obligations, including their cash flows and risks

– LOS 46b: define, calculate, and interpret Macaulay, modified, and effective durations

– LOS 46c: explain why effective duration is the most appropriate measure of interest rate risk for bonds with embedded options

– LOS 46d: define key rate duration and describe the use of key rate durations in measuring the sensitivity of bonds to changes in the shape of the benchmark yield curve

– LOS 46e: explain how a bond’s maturity, coupon, and yield level affect its interest rate risk

– LOS 46f: calculate the duration of a portfolio and explain the limitations of portfolio duration

– LOS 46g: calculate and interpret the money duration of a bond and price value of a basis point (PVBP)

– LOS 46h: calculate and interpret approximate convexity and distinguish between approximate and effective convexity

– LOS 46i: estimate the percentage price change of a bond for a specified change in yield, given the bond’s approximate duration and convexity

– LOS 46j: describe how the term structure of yield volatility affects the interest rate risk of a bond

– LOS 46k: describe the relationships among a bond’s holding period return, its duration, and the investment horizon

– LOS 46l: explain how changes in credit spread and liquidity affect yield-to-maturity of a bond and how duration and convexity can be used to estimate the price effect of the changes

– LOS 47b: describe default probability and loss severity as components of credit risk

– LOS 47c: describe seniority rankings of corporate debt and explain the potential violation of the priority of claims in a bankruptcy proceeding

– LOS 47d: distinguish between corporate issuer credit ratings and issue credit ratings and describe the rating agency practice of “notching”

– LOS 47e: explain risks in relying on ratings from credit rating agencies

– LOS 47f: explain the four Cs (Capacity, Collateral, Covenants, and Character) of traditional credit analysis

– LOS 47g: calculate and interpret financial ratios used in credit analysis

– LOS 47h: evaluate the credit quality of a corporate bond issuer and a bond of that issuer, given key financial ratios of the issuer and the industry

– LOS 47i: describe factors that influence the level and volatility of yield spreads

– LOS 47j: explain special considerations when evaluating the credit of high yield, sovereign, and non-sovereign government debt issuers and issues

LOS b: describe the contents of a bond indenture and contrast affirmative and negative covenants

LOS b: describe how legal, regulatory, and tax considerations affect the issuance and trading of fixed-income securities

LOS b: describe types of fixed-income indexes

LOS c: compare primary and secondary fixed-income markets to equity Markets

LOS b: describe repurchase agreements (repos), their uses, and their benefits and risks

LOS c: contrast the long-term funding of investment-grade versus high-yield corporate issuers

LOS b: contrast the issuance and trading of government and corporate fixed-income instruments

LOS b: identify the relationships among a bond’s price, coupon rate, maturity, and yield-to-maturity

LOS c: describe matrix pricing

LOS b: compare, calculate, and interpret yield and yield spread measures for fixed-rate bonds

LOS b: calculate and interpret yield measures for money market instruments.

LOS b: define par and forward rates, and calculate par rates, forward rates from spot rates, spot rates from forward rates, and the price of a bond using forward rates.

LOS c: compare the spot curve, par curve, and forward curve.

LOS b: describe the relationships among a bond’s holding period return, its Macaulay duration, and the investment horizon.

LOS c: define, calculate, and interpret Macaulay duration.

LOS b: explain how a bond’s maturity, coupon, and yield level affect its interest rate risk.

LOS b: calculate the percentage price change of a bond for a specified change in yield, given the bond’s duration and convexity.

LOS c: calculate portfolio duration and convexity and explain the limitations of these measures.

LOS b: calculate the percentage price change of a bond for a specified change in benchmark yield, given the bond’s effective duration and convexity.

LOS c: define key rate duration and describe its use to measure price sensitivity of fixed-income instruments to benchmark yield curve changes.

LOS d: describe the difference between empirical duration and analytical duration.

LOS b: describe the uses of ratings from credit rating agencies and their limitations.

LOS c: describe macroeconomic, market, and issuer-specific factors that influence the level and volatility of yield spreads.

LOS b: calculate and interpret financial ratios used in credit analysis.

LOS c: describe the seniority rankings of debt, secured versus unsecured debt and the priority of claims in bankruptcy, and their impact on credit ratings.

LOS b: describe securitization, including the parties and the roles they play

LOS b: describe typical credit enhancement structures used in securitizations

LOS c: describe types and characteristics of non-mortgage asset-backed securities, including the cash flows and risks of each type.

LOS d: describe collateralized debt obligations, including their cash flows and risks.

LOS b: describe fundamental features of residential mortgage loans that are securitized. LOS c: describe types and characteristics of residential mortgage-backed securities, including mortgage pass-through securities and collateralized mortgage obligations, and explain the cash flows and risks for each type.

LOS d: describe characteristics and risks of commercial mortgage-backed securities.