1. The following are the spot interest rates for 1- and 2-year
fixed income securities.
Spot...
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).
Solutions
Expert Solution
Solution:
Spot 1
Year
Spot 2
Year
Forward 1 Year (1-year
maturity)
Given the following table of spot and coupon rates for Treasury
Securities. Calculate the theoretical spot rate for the 2 years
Treasury
Period
Years
Yearly Spot Rate
Yearly Coupon Rate
1
0.5
4.50%
4.50%
2
1
4.75%
4.75%
3
1.5
5%
4
2
5.25%
1.Given a term structure of interest rates, derive the spot
rates projected for years 1, 2, ….n,
T
T period Bond
Yield to mat.
(zero coupon)
Implied spot
rates
1
6.0
2
6.7
3
7.0
4
7.5
5
7.6
Compute your spot rates.
Explain why it is important that we use zero coupon bonds.
2.Given an n year zero coupon bond, compute the modified
duration.
3. Introduction to risk free pricing. Compute the risk free
pricing of a call option...
Suppose you observe the following 1-year discrete interest
rates, rUSD = 4%, rEUR =
3%, spot exchange rates SUSD/EUR = USD
1.45/EUR, and futures prices FUSD/EUR
= USD 1.48/EUR. Futures contracts are available on
€10,000. How much risk-free arbitrage profit could you make on 1
contract at maturity from this mispricing?
Select one:
a. $130.55
b. $153.33
c. $159.22
d. $142.44
32.
Mortgage rates: Following are interest rates
(annual percentage rates) for a 30-year fixed rate mortgage from a
sample of lenders in Macon, Georgia on a recent day. It is
reasonable to assume that the population is approximately
normal.
4.750
4.375
4.176
4.679
4.426
4.227
4.125
4.250
3.950
4.191
4.299
4.415
a.
Construct a 99% confidence interval for the mean rate.
b.
One week earlier, the mean rate was 4.050%. A mortgage broker
claims that the mean rate is now...
Treasury is: Spot 1-year Treasury is 4% Spot 2-year treasury is
4.5%
B Corporate Debt interest annually Spot 1 year 8.5%, Spot 2
years 9.5%
Forward 1 Year maturity
Let’s call the Treasury x
The Corporate debt is called y
What is the value of x the forward rate on one-year maturity
Treasuries delivered in one year?
What is the value of y the forward rate on one-year maturity B
corporate debt delivered in one year?
Exercising the term structure...
Deriving Current Interest Rates. Assume that
interest rates for one-year securities are expected to be 0.04
today, 0.07 one year from now and 0.06 two years from now. Using
only the pure expectations theory, what are the current interest
rates on two-year securities. Enter the
answer as a decimal using 4 decimals (e.g. 0.1234).
Interest rates on 6-year Treasury securities are currently
1.72%, while 9-year Treasury securities yield 1.83%. If the pure
expectations theory is correct, what does the market believe that
3-year Treasury securities will be yielding 6 years from now?
Interest rates on 4-year Treasury securities are currently 6.4%,
while 6-year Treasury securities yield 7.55%. If the pure
expectations theory is correct, what does the market believe that
2-year securities will be yielding 4 years from now? Calculate the
yield using a geometric average. Do not round intermediate
calculations. Round your answer to two decimal places.
Interest rates on 4-year Treasury securities are currently 7%,
while 6-year Treasury securities yield 7.4%. If the pure
expectations theory is correct, what does the market believe that
2-year securities will be yielding 4 years from now? Calculate the
yield using a geometric average. Do not round intermediate
calculations. Round your answer to two decimal places.
Interest rates on 4-year Treasury securities are currently 5.6%,
while 6-year Treasury securities yield 7.15%. If the pure
expectations theory is correct, what does the market believe that
2-year securities will be yielding 4 years from now? Calculate the
yield using a geometric average. Do not round intermediate
calculations. Round your answer to two decimal places.