In: Finance
Here are data on $1,000 par value bonds issued by Microsoft, GE Capital, and Morgan Stanley. Assume you are thinking about buying these bonds. Answer the following questions:
a. Assuming interest is paid annually, calculate the values of the bonds if your required rates of return are as follows: Microsoft, 3 percent; GE Capital, 8 percent; and Morgan Stanley, 12 percent; where:
Microsoft | GE Capital | Morgan Stanley | |
Coupon interest rate | 5.00 % | 4.00 % | 4.50 % |
Years to Maturity | 29 | 12 | 9 |
b. The bonds are selling for the following amounts:
Microsoft $1,474
GE Capital $795
Morgan Stanley $507
What are the expected rates of return for each bond?
c. How would the value of the bonds change if (1) your required rate of return (rb) increased 2 percentage points or (2) decreased 2 percentage points?
d. Explain the implications of your answers in part c in terms of interest rate risk, premium bonds, and discount bonds.
e. Should you buy the bonds? Explain.
d)
From the above we can derive the relation between the interest rate ,coupon and price of the bonds
when Interest rate = Coupon bond will trade at par value
When interest rate > coupon rate , bond will trade at discount
when Interest rate < coupon rate , bond will trade at premium
e)
Microsoft :
From above calculations actual price = 1383.77 but it is selling at $1474 - Over priced , do not buy
GE capital : Actual Price = $698.56 but it is selling for $795 - Over priced , Do not buy
Morgan stanley: Actual Price = Actual Price $600.38 but it is selling for $507 - under priced , Buy it
Formulas will be as follows: