In: Finance
You observe the following term structure of interest rates (zero-coupon yields, also called "spot rates"). The spot rates are annual rates that are semi-annually compounded.
Time to Maturity | Spot Rate |
---|---|
0.5 | 2.00% |
1.0 | 3.00% |
1.5 | 3.50% |
2.0 | 3.00% |
2.5 | 4.00% |
3.0 | 4.50% |
Compute the six-month forward curve, i.e. compute f(0,0.5,1.0), f(0,1.0,1.5), f(0,1.5,2.0), f(0,2.0,2.5), and f(0,2.5,3.0). Round to six digits after the decimal. Enter percentages in decimal form, i.e. enter 2.1234% as 0.021234.
In all the following questions, enter percentages in decimal form, i.e. enter 2.1234% as 0.021234. Assume semi-annual compounding.
Compute the one-year forward rate in six months, i.e. compute f(0,0.5,1.5)
Compute the one-year forward rate in one year, i.e. compute f(0,1.0,2.0)
Compute the one-year forward rate in two years, i.e. compute f(0,2.0,3.0)
Compute the 1.5-year forward rate in six months, i.e. compute f(0,0.5,2.0)
Compute the 1.5-year forward rate in one-year, i.e. compute f(0,1.0,2.5)
Compute the 1.5-year forward rate in 1.5-years, i.e. compute f(0,1.5,3.0)
Compute the two-year forward rate in six-months, i.e. compute f(0,0.5,2.5)
Compute the two-year forward rate in one-year, i.e. compute f(0,1.0,3.0)
Compute the 2.5-year forward rate in six-months, i.e. compute f(0,0.5,3.0)
Answers for Respective Questions:
A) 4.3%
B) 3%
C) 7.5%
D) 3.36%
E) 4.73%
F) 5.58%
G) 4.6%
H) 5.40%
I) 5.19%