The relationship that exists between the yield to maturity and the bond price . Introduction: A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity. If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond . Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures. Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

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Answer 1

Question

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

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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 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

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Answer 3

Question

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

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Answer 4

Question

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

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Answer 5

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

Answer 6

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

Answer 7

Chapter 6, Problem 15CTCR

a)

Summary Introduction

To determine: The relationship that exists between the yield to maturity and the bond price.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Bond price refers to the price at which the bond the investors buy and sell in the market. It is the sum of present value of the lump sum amount received at the end of the maturity and the coupon payments.

Answer 8

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Answer 9

b)

Summary Introduction

To determine: The reason why bonds sell at a premium or discount and the relationship between the yield to maturity and the coupon rate of premium, discount, and par bonds.

Introduction:

A bond refers to the debt securities issued by the governments or corporations for raising capital. The borrower does not return the face value until maturity. However, the investor receives the coupons every year until the date of maturity.

If the bond sells at a steep discount during the issue and does not make any coupon payments during its life, then the bond is a zero coupon bond.

Yields refer to the return on the investment made by an investor. A bond yield refers to the return earned by the investor on the bond if he or she holds the bond until the bond matures.

Answer 10

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

Answer 11

c)

Summary Introduction

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

Answer 12

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Answer 13

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Answer 14

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Answer 15

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Solution Summary: The author explains the relationship between the bond price and the yield to maturity.

Videos

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

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Chapter 6 Solutions

Solution Summary: The author explains the relationship between the bond price and the yield to maturity.

Videos

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds. Introduction: The current yield of the bond is the annual coupon of the bond divided by the price of the bond.

Want to see the full answer?

Chapter 6 Solutions

To determine: The relationship between the yield to maturity and the current yield of par, discount, and premium bonds.

Introduction:

The current yield of the bond is the annual coupon of the bond divided by the price of the bond.