Question

In: Finance

(1) Given the prices of zero coupon bonds Z(0, 1) = 0.9865, Z(0, 1.5) = 0.9581,...

(1) Given the prices of zero coupon bonds Z(0, 1) = 0.9865, Z(0, 1.5) = 0.9581, Z(0, 2) = 0.9292, and Z(0, 2.5) = 0.9003, determine the following forward LIBORs L0[1, 1.5], L0[1.5, 2], and L0[2, 2.5].

(2) Continued from the last problem, further assume that the floor rate (strike) is 6.5%. The principal underlying the floor is $1,000,000 and the reset frequency is 6 months. Assume that the volatility is 20%. Determine the price of floor from 1 to 2 years.

Solutions

Expert Solution

Here, in 1st question prices of Zero-coupon Bonds are given, we have to use this information and calculate prices of Forward LIBORs for the period asked above.

I have solved the above problem in the notebook, kindly see the below image for solution.


Related Solutions

Suppose that the prices of zero-coupon bonds with various maturities are given in the following table....
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) Price 1 $ 925.93 2 853.39 3 782.92 4 715.00 5 650.00 a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.) Maturity (Years) Forward rate 2 % 3 % 4 % 5 % b. How could you construct a 1-year forward loan beginning in year 3?...
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table....
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) Price 1 $ 925.93 2 853.39 3 782.92 4 715.00 5 650.00 a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.) b. How could you construct a 1-year forward loan beginning in year 3? (Round your Rate of synthetic loan answer to 1 decimal place.) Face...
Prices of zero coupon bonds today (i.e., at t=0) reveal the following pattern of 1-yr forward...
Prices of zero coupon bonds today (i.e., at t=0) reveal the following pattern of 1-yr forward rates. (note: t =1 is 1 year from today; t = 2 is two years from today and so on) Assume annual compounding frequency throughout this question (none of the yields are bond equivalent yields) Forward rate 6% > This is the 1-yr forward rate from t=1 to t=2, call this f1 8% > This is the 1-yr forward rate from t=2 to t=3,...
(Bootstrapping) The bond prices of six-month and one-year zero-coupon bonds are 94.0 and 89.0. A 1.5-year...
(Bootstrapping) The bond prices of six-month and one-year zero-coupon bonds are 94.0 and 89.0. A 1.5-year bond that provides a coupon of 8% per annum semiannually currently sells for $94.84. A two-year bond that provides a coupon of 10% per annum semiannually currently sells for $97.12. Calculate the six-month, one-year, 1.5-year, and two-year zero rates
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the...
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) Price of Bond 1 $ 978.43 2 924.97 3 840.12 4 784.39 b. Calculate the forward rate for (i) the second year; (ii) the...
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the...
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. (Do not round intermediate calculations. Round your answers to two decimal places.) Maturity (Years)Price of Bond YTM 1   $910.90 2   $907.97 3 $828.12 4 $768.49 b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth...
1. Prices of zero-coupon bonds rise over time, providing a rate of appreciation equal to the...
1. Prices of zero-coupon bonds rise over time, providing a rate of appreciation equal to the internal, compounded rate of return. Zero coupon bonds are also the vehicles of choice in constructing a yield curve and are oftentimes estimated, when a zero is not readily available, by a treasury strip. True False 2.Holding maturity constant, a bond’s duration is higher when the coupon rate is higher; generally decreases with its time to maturity; is lower when the bond’s yield to...
How do you calculate the price of a coupon bond from the prices of zero-coupon bonds?...
How do you calculate the price of a coupon bond from the prices of zero-coupon bonds? How would you calculate the price from the yields of zero-coupon bonds? Why could two coupon bonds with the same maturity each have a different yield to maturity?
The following is a list of prices for zero-coupon bonds with different maturities but same par...
The following is a list of prices for zero-coupon bonds with different maturities but same par value of $1,000: the 1-year zero bond sells at $925.15, the 2-year zero bond sells at $862.57, the 3-year zero bond sells at $788.66, and the 4-year zero bond sells at $711.00. You have purchased a 4-year maturity bond with a 9% coupon rate paid annually. The bond has a par value of $1,000. What would be the price of the bond one year...
The following is a list of prices for zero-coupon bonds with different maturities but same par...
The following is a list of prices for zero-coupon bonds with different maturities but same par value of $1,000: the 1-year zero bond sells at $1000, the 2-year zero bond sells at $862.57, the 3-year zero bond sells at $788.66, and the 4-year zero bond sells at $711.00. You have purchased a 4-year maturity bond with a 9% coupon rate paid annually. The bond has a par value of $1,000. What would be the price of the bond one year...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT