The yield to maturity of the bond. Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

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Answer 1

Question

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

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An insurance company has liabilities of £7 million due in 10 years' time and £9 million due in 17 years' time. The assets of the company consist of two zero-coupon bonds, one paying £X million in 7 years' time and the other paying £Y million in 20 years' time. The current interest rate is 6% per annum effective. Find the nominal value of X (i.e. the amount, IN MILLIONS, that bond X pays in 7 year's time) such that the first two conditions for Redington's theory of immunisation are satisfied. Express your answer to THREE DECIMAL PLACES.

An individual is investing in a market where spot rates and forward rates apply. In this market, if at time t=0 he agrees to invest £5.3 for two years, he will receive £7.4 at time t=2 years. Alternatively, if at time t=0 he agrees to invest £5.3 at time t=1 for either one year or two years, he will receive £7.5 or £7.3 at times t=2 and t=3, respectively. Calculate the price per £5,000 nominal that the individual should pay for a fixed-interest bond bearing annual interest of 6.6% and is redeemable after 3 years at 110%. State your answer at 2 decimal places.

The one-year forward rates of interest, f+, are given by: . fo = 5.06%, f₁ = 6.38%, and f2 = 5.73%. Calculate, to 4 decimal places (in percentages), the three-year par yield.

Answer 2

Question

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

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Answer 3

Question

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

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Answer 4

Question

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

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Answer 5

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 6

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 7

Chapter 6, Problem 33P

a.

Summary Introduction

To determine: The yield to maturity of the bond.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond, which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 8

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 9

b.

Summary Introduction

To determine: The expected return on investment if there is no default

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 10

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 11

c.

Summary Introduction

To determine: The expected return on investment if there is a 100% probability of default and recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 12

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 13

d.

Summary Introduction

To determine: The expected return on investment if the default probability is 50%, the likelihood of default is greater in bad times than good times, and, in the case of default, recovery of 90% of the face value is possible.

Introduction:

A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 14

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 15

e.

Summary Introduction

To determine: Risk-free interest rate

Introduction: A yield to maturity (YTM) is the rate of return projected for a security or a bond which is apprehended till its maturity period. It is also considered as the internal rate of return (IRR) for a security or bond and it likens the current estimation of a bond’s future cash flow to its present market cost. A coupon payment is the yearly interest payment that is remunerated to a bondholder by the issuer of the bond, until the point that the debt obligation matures. The coupon payments are cyclic payments of interest to the bondholders.

Answer 16

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Answer 19

Ch. 6.1 - What is the relationship between a bonds price and...Ch. 6.1 - The risk-free interest rate for a maturity of...Ch. 6.2 - If a bonds yield to maturity does not change, how...Ch. 6.2 - Prob. 2CC Ch. 6.2 - How does a bonds coupon rate affect its...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - Explain why two coupon bonds with the same...Ch. 6.4 - There are two reasons the yield of a defaultable...Ch. 6.4 - What is a bond rating?

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