Tutorial Week 8
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Tutorial week 8
6.4 Define yield to maturity. Why is it important?
for a bond, the discount rate that makes the present value of the coupon and
principal payments equal to the price of the bond.
It can be measured which is how much investment and how much return.
6.9 An investor holds a 10-year bond paying a coupon of 9 per cent. The yield
to maturity of the bond is 7.8 per cent. Would you expect the investor to be
holding a par-value, premium or discount bond? What if the yield to maturity
were 10.2 per cent? Explain.
If the YTM is 7.8%, the investor will be holding a premium.
If the YTM is 10.2%, the investor will be holding a discount.
6.6 Zero coupon bonds: Chelsea Carter is interested in buying a 5-year zero
coupon bond whose face value is $1000. She understands that the market
interest rate for similar investments is 7.96 per cent. Assume annual coupon
payments. What is the current price of this bond?
Bond Value = 1000 / (1+0.076) ^5 = $693.33
6.7 Zero coupon bonds: 10-year zero coupon bonds issued by the Queensland
Treasury has a face value of $1000 and interest is compounded semi-annually.
If similar bonds in the market yield 11.32 per cent, what is the value of these
bonds?
Bond Value = 1000 / ((1+(0.1132/2)) ^(2*10) = $332.50
6.15 Bond price: Metasale Ltd is issuing 8-year bonds with a coupon rate of
7.99 per cent and semi-annual coupon payments. If the current market rate for
similar bonds is 9.53 per cent, what will be the bond price? Assume each bond
has a face value of $1000. If the company wants to raise $1.25 million, how
many bonds does it have to sell?
C/2 = (1000*0.0799)/2 = 39.95
i/2 = 0.0953/2 = 0.04765
YTM = n = 8*2 = 16
Bond Value = 39.35 * ((1-(1/(1+0.04765) ^16)) / 0.04765) + 1000 * ((1+0.04765)
^16)
= 440.30 + 474.83
= $915.13
1,250,000 / 915.13 = $1,365.93
6.16 Bond price: QBE Insurance Group Ltd has outstanding bonds with a face
value of $1000 that will mature in 6 years and pay an 8 per cent coupon,
interest being paid semi-annually. If you paid $1036.65 today and your required
rate of return was 6.6 per cent, did you pay the right price for the bond?
C = (1000 * 0.08) / 2 = 40
I = 0.066 / 2 = 0.033
YTM = 2 * 6 = 12
40 * ((1-(1/(1+0.033)^12))/0.033) + (1000/(1+0.033)^12) = $1,068.45
The price is lower than the actual price of the bond.
This means this is a good deal for the buyer.
7.8 Why is share valuation more difficult than bond valuation?
The time and size are less certain.
Shares have no maturity value.
7.9
You are currently thinking about investing in a share currently trading at
$25. The share recently paid a dividend of $2.25 and is expected to grow at a
rate of 5 per cent for the foreseeable future. You normally require a return of 14
per cent on shares of similar risk. Is the share overpriced, under-priced or
correctly priced?
D1 = 2.25 * 1.05 = 2.3625
P0 = 2.3625 / (0.14 – 0.05)
= $26.25
Therefore, $26.25 is higher than $25 which means the share is under-priced.
7.14 Constant growth: Kathleen Ferrero is interested in purchasing the
ordinary shares of Vespertine Pty Ltd which are currently priced at $39.96. The
company expects to pay a dividend of $2.58 next year and expects to grow at a
constant rate of 8 per cent. a What should the market value of the share be if
the required rate of return is 14 per cent? b Is this a good buy? Why or why
not?
P0 = 2.58 / (0.14 – 0.08)
= $43
Yes, this makes profits.
7.15 Constant growth: The required rate of return is 23 per cent. Gnangara Pty
Ltd has just paid a dividend of $3.12 and expects to grow at a constant rate of
5 per cent. What is the expected price of the share 3 years from now?
D4 = 3.12 * (1.05) ^4 = 3.7923795
P3 = 3.7923795 / (0.23 – 0.05) = $21.07
7.16 Constant growth: Pedro Sanchez is interested in buying shares in TreeTop Pty
Ltd which is growing at a constant rate of 8 per cent. Last year the company paid a
dividend of $2.65. The
required rate of return is 18.5 per cent. What is the current
price for this share? What would be the price of the share in year 5?
D6 = 2.65 * (1.08) ^6 = 4.205216956
P5 = (2.65 * (1.08) ^6) / (0.185 – 0.08)
= $40.05
7.26 Gerald Neut owns shares in Patina Pty Ltd. Currently, the market price of the
share is $36.34. The company expects to grow at a constant rate of 6 per cent for
the foreseeable future. Its last dividend was worth $3.25. Gerald’s required rate of
return for such shares is 16 per cent. He wants to find out whether he should sell his
shares or add to his holdings. a What is the value of this share? b Based on your
answer to part a, should Gerald buy additional shares in Patina Pty Ltd? Why or why
not?
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Related Questions
QUESTION 7
Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. What is the yield to maturity if one were to purchase the bond at the equilibrium price?
5%
.05%
10%
.10%
arrow_forward
10-2 The rate of return that you would earn if you bought a bond and held it to
its maturity date is called the bond's yield to maturity, or YTM. If interest
rates in the economy rise after a bond has been issued, what will happen to
the bond's price and to its YTM? Does the length of time to maturity affect
the extent to which a given change in interest rates will affect the bond's
price?
arrow_forward
Question 2
a. A bond that matures in one year has a $500 face value and a $60 coupon. What is the price of the bond if the interest rate is 6 percent and the bond was purchased by the present owner for $450?
b. A bond that matures in two years has a face value equal to F and a coupon equal to R. Suppose that the yield to maturity, i, is such that i = ( R / F ). The price of the bond equals...
F
F/(1+i)
F(1+i)
F/i
Answer both otherwise don't do that I will Dounvote
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4
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Week 4 Homework -
this
F
K
V
The current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100 face value of a four-year, zero-coupon, risk-free
bond?
%
5
The price per $100 face value of the four-year, zero-coupon, risk-free bond is $. (Round to the nearest cent.)
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
2
3
5.55%
5.76%
View an example Get more help.
Maturity (years)
YTM
T
G
B
A
1
4.99%
6
Y
MacBook Pro
H
&
7
Print
N
U
*
8
M
Done
K
(
4
5.93%
<
0
0
5
6.09%
Clear all
Check answer
O
83
de
arrow_forward
Question 2A. A bond has a face value of $2000, a coupon rate of 6% and matures in 10years’ time. If its current yield to maturity is 8% what is the current price ofthe bond? If the yield falls to 4% determine the bond price. What do theseresults indicate about the relationship between the price of a bond and itsyield to maturity?
B. You are asked to put a value on a bond which promises eight annual couponpayments of £70 and will repay its face value of £1000 at the end of eightyears. You observe that other similar bonds have yields to maturity of 9 percent. How much is this bond worth? You are offered the bond for a priceof £1030.44. What yield to maturity does this represent?
C. Explain in detail the trade-off model of capital structure. In light of the currentglobal financial challenge, discuss which elements of the model areexpected to become most prevalent?
arrow_forward
10-1 Describe how the value of any asset is determined.
10-2 The rate of return that you would earn if you bought a bond and held it to its maturity date is called the bond’s yield to maturity, or YTM. If interest rates in the economy rise after a bond has been issued, what will happen to the bond’s price and to its YTM? Does the length of time to maturity affect the extent to which a given change in interest rates will affect the bond’s price?
arrow_forward
5
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it
matures, your realized return is known as the holding period yield (HPY).
a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.2 percent for $845. The bond has 10 years to maturity
and a par value of $1,000. What rate of return do you expect to earn on your investment?
Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for?
Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
b-2. What is the HPY on your investment?
Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
eBook
a. Rate of return
b-1. Price
b-2. Holding…
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Topic 3: Time value of money4. Suppose a 5-year zero-coupon Treasury bond with face value $1000 has a 5% yield(annually compounded).(a) What is the price of this bond?(b) Suppose another zero-coupon Treasury bond also has a 5% yield, but a price of$325.57. What is the maturity of this bond?
arrow_forward
Q.2
A firm sells bonds with a par value of 1000 Rupees, carry a 8% coupon rate, with a maturity period of 9 years. The bond sells at a yield to maturity of 9%.
a) What is the interest payment you should receive each year?
b) What is the selling price of the bond?
arrow_forward
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