Assume the one and two year spot rates on the zero curve, Rf (0,
1) and...
Assume the one and two year spot rates on the zero curve, Rf (0,
1) and Rf (0, 2), equal 0.015 and 0.025, respectively. What is the
implied one year forward rate one year from now?
Solutions
Expert Solution
AS NOTHING IS MENTIONED, I HAVE WRITTEN ANSWERS IN 2
FORMAT : IN DECIMALS AND IN %
Assume the spot rates for one-, two-, and three-year zero coupon
bonds are 2%, 3%, and 4%. (a)Calculate P(1), P(2), and
P(3).(b)Calculate the price of a three-year 8% coupon bond, with
interest paid annually.(c)Calculate ?1,1, ?1,2, and
?2,1(d)Calculate F(1,1), F(1,2), and F(2,1).(e)If ?1,3= 5%,
calculate P(4).
Suppose that the spot interest rate on a one-year zero-coupon
bond is 1%, and the spot interest rate on a two-year zero-coupon
bond is 2%. Suppose also that you expect the one-year interest rate
starting in one year to be 1%. Relative to the market expectations,
do you think a recession is more likely or less likely?
1)If spot rates are 3.1% for one year, 3.5% for two years, and
3.8% for three years and 4.0% for four years, the price of a $100
face value, 4-year, annual-pay bond with a coupon rate of 5% is
equal to:
2)
The following spot and forward rates are provided:
Current 1-year spot rate is 5.5%.
One-year forward rate one year from today is 6.63%.
One-year forward rate two years from today is 8.18%.
The value of a 3-year, 6%...
QUESTION 3
Suppose the one-year, two-year, three-year, and four-year spot
rates are determined to be 1%, 2%, 3%, and 4%, respectively. What
is the yield to maturity of a four-year, 5% annual coupon paying
bond?
a.
3.467%
b.
3.878%
c.
3.964%
Suppose that the spot interest rate on a one-year zero-coupon
bond is 2% and the spot interest rate on a two-year zero-coupon
bond is 3.5%. Based on the pure expectations theory of the term
structure of interest rates, what is the expected one-year interest
rate starting in one year?
If you expect the yield curve to invert next year, with spot
rates for maturities of 10-years and above falling and spot rates
for maturities less than 10-years rising. Given your forecast,
explain which of bond Bond A or Bond B you would recommend for a
long position over the upcoming year: Bond A -discount bond with a
duration of 12-years and YTM of 5%; Bond B -coupon rate of 10%, a
duration of 12-years, and a YTM of 5%.
On March 11, 20XX, the existing or current (spot) one-year,
two-year, three-year, and four-year zero-coupon Treasury security
rates were as follows:
1R1 = 2.23%,
1R2 = 2.55%,
1R3 = 2.79%,
1R4 = 2.90%
Using the unbiased expectations theory, calculate the one-year
forward rates on zero-coupon Treasury bonds for years two, three,
and four as of March 11, 20XX. (Do not round intermediate
calculations. Round your answers to 2 decimal places. (e.g.,
32.16))
Describe the relation between the yield curve of spot rates and
the yield curve of forward rates. Besides providing the basic
relation (increasing, decreasing, independent), please provide the
economic reasoning. You are greatly encouraged to provide any
graphical representation that might help convey the idea. Maximum
200 words. Please write as clear as possible.
1. The following are the spot interest rates for 1- and 2-year
fixed income securities.
Spot 1
Year
Spot 2
Year
Forward 1Year (1 year
maturity)
Treasury 3.0%
4.75%
x
BBB Corporate Debt
7.5%
9.15%
y
Calculate the value of x (the implied forward rate on 1-year
maturity Treasury at the end of the year) and the value of y (the
implied forward rate on 1 year maturity BBB corporate debt at the
end of one year).
Suppose a 10-year zero-coupon bond (zero) is trading spot at 6%
and a 20-year zero is trading spot at 8%. We know that the 10 year
forward rate for a 10 year zero must be 0.1004 (annual
compounding). All are risk free. If the rates are not 0.1004 for
the forward you can make a free profit by using arbitrage.
Suppose you have $0 dollars today but are allowed to sell and
buy $100,000 worth of zero coupon bonds (and...