Bond Pricing and Yield to Maturity, Lecture notes of Banking and Finance

An introduction to the concept of bond pricing, including the definition of key terms such as bond price, face value, coupon rate, and bond maturity date. It also explains how the yield to maturity is calculated based on the purchase price of the bond and the face value, as well as the distinction between nominal and real interest rates. Examples to illustrate the concepts.

Typology: Lecture notes

2019/2020

Uploaded on 02/25/2020

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Third lecture
Group A
Bond price: is the price of the bond at the purchasing time.
Bond face value: is the money you will receive at the end of the period.
The bond: is a debt investment in which an investor loans money to an entity. It could be: typically
corporate or governmental. Which borrows the funds for a defined period of time for investors.
The face value: represents the amount that a bond interest holder all receive at maturity date (the
end of the period).
The coupon rate: is the interest rate it pays to the holders each year. It expressed as a percentage
of it face value.
Bond maturity date: is the date on which the holder receives the face value of the bond.
The market price: is what it pays for the bond.
When the face vale > price
1. If the bond is purchased at the face value (face value = price); then the yield to maturity
equal interest rate.
2. If the bond price is purchased at discount (face value > price); then the
yield to maturity = interest rate + capital.
3. If the bond price is purchased at premium (face value < price); then the
yield to maturity = interest rate capital.
Examples:
1. P = $1000 , C.R = 10% , F.V = $1000
P = F.V; the yield = interest rate (coupon rate) = 10%
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Third lecture

Group A

Bond price: is the price of the bond at the purchasing time.

Bond face value: is the money you will receive at the end of the period.

The bond: is a debt investment in which an investor loans money to an entity. It could be: typically corporate or governmental. Which borrows the funds for a defined period of time for investors.

The face value: represents the amount that a bond interest holder all receive at maturity date (the end of the period).

The coupon rate: is the interest rate it pays to the holders each year. It expressed as a percentage of it face value.

Bond maturity date: is the date on which the holder receives the face value of the bond.

The market price: is what it pays for the bond.

 When the face vale > price

  1. If the bond is purchased at the face value (face value = price); then the yield to maturity equal interest rate.
  2. If the bond price is purchased at discount (face value > price); then the yield to maturity = interest rate + capital.
  3. If the bond price is purchased at premium (face value < price); then the yield to maturity = interest rate – capital.

Examples:

  1. P = $1000 , C.R = 10% , F.V = $

P = F.V; the yield = interest rate (coupon rate) = 10%

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2. P = $1000 , C.R = 10% , F.V = $

P < F.V

The yield = = = 30%

  1. P = $1000 , C.R = 10% , F.V = $

P > F.V

The yield = = = 9.5%

 Real & Nominal interest rate

Nominal interest rate: is the market interest ratio.

Real interest rate: it depends on inflation, and it is the real value that I get from interest and the benefit I’ll get from.

The more important is our ability to buy (our ability of purchasing).

, while: is the inflation rate & is the interest rate.

We have two types of real interest rate:

  1. The ex-ante interest rate: is the real interest rate adjusted by expected change in the price level. 2.The ex-post interest rate: is the real interest rate adjusted by the actual changes in the price level.

When the inflation is high and real interest rate is low there are a great incentive to borrow and less incentive to lend.