Question 1 (10 marks) a. Middleton expects to buy a 9.5% coupon, 15 years bond today, when it is first issued by Alex PLC. If interest rates suddenly rise to 12.5%, what happens to the value of...

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Answer To: Question 1 (10 marks) a. Middleton expects to buy a 9.5% coupon, 15 years bond today, when it is...

Soumyadeep answered on Jun 18 2021
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ASSIGNMENT
Name
ID
Lecturer Name
Course ID and Title
Date
Location
Table of Contents
Question 1    2
Question 2    3
Question 3    5
Question 4    6
Question 5    7
References    8
Question 1
a. The current coupon rate is 9.5% and the tenure is 15 years. If the interest rate rises to 12
.5% suddenly, the value of the bond will decrease. The future coupon payments and the principal will be discounted at a higher discount rate which means that the present value of the future cash flows will be less. So the value of the bond will be lower.
b.
i.
    Face Value
    1000
    Coupon Rate
    10.50%
    Frequency
    2
     
     
    Coupon Payment
    52.5
Coupon payment is $52.50
ii. Current price of bond= [
Where
F= Face / Par value of bond= $1,000
C=Coupon Payment= $1,000 X 10.5% X 0.5= $52.50
r = Yield to maturity (YTM)= 8.5%/2=4.25%20X2
n = No. of periods till maturity= 20X2=40
Substituting the above values in eqn (i), we get
Current price of bond =
= $1001.56 + 189.22
=$1,190.77
iii. If coupon is paid annually
Current price of bond= [
Where
F= Face / Par value of bond= $1,000
C=Coupon Payment= $1,000 X 10.5% = $105
r = Yield to maturity (YTM)= 8.5%
n = No. of periods till maturity= 20
Substituting the above values in eqn (i), we get
Current price of bond =
= $993.65 + $195.62
=$1,189.27
Question 2
a.
i. The price of a stock is given by
g= dividend growth rate
r= investor required rate of return
Now when r increases, the denominator increases and hence the price of stock P decreased. It also means that with increasing required rate of return, the stock is perceived to be riskier.
ii. If dividend growth rate increases, the denominator decreases and hence the price of stock increases
iii. The price of a stock is given by
Where
P= Current price per share = $77.32
Rearranging we get= =3.69%
iv. The price of a stock is given by
So
g= dividend growth rate=5.1%
r= investor required rate of return=11%
Question 3
a. Arithmetic Average Return= Sum of annual returns/number of returns
Geometric Average Return=
Where
=4
    Year
    Return
    1
    10.50%
    2
    12.20%
    3
    -5.50%
    4
    2.80%
    Number of years
    4
    Arithmetic Average Return
    5.00%
    Geometric Average Return
    4.76%
b.
i. Weight of individual stock = Amount investment in individual stock/Total Investment
    Stock
    Amount Invested
    A
    25,000
    B
    50,000
    Total
    75,000
    Weight of Stock A
    33.3%
    Weight of Stock B
    66.7%
ii. Portfolio Return = Weight of Stock A x Expected Return of Stock A + Weight of Stock B x Expected Return of Stock B
    Stock
    E(R)
    Weights
    A
    15%
    33%
    B
    10%
    67%
     
     
     
    Portfolio Return
     
    11.67%
iii. Portfolio Risk

Where wA, wB = weights of assets A...
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