Question

In: Finance

following yield curve interest rate 1% 2% 3% And that the FRA (1 year, starting two...

  1. following yield curve

interest rate

1%

2%

3%

And that the FRA (1 year, starting two year from now) is 4%

  1. Calculate the implicit 1 year interest rate that we are expecting for next year and next next year

Solutions

Expert Solution

A)One year interest rate for next year :[1+i2]^2/[1+i1]^1      -1

                                =[1+.02]^2/[1+.01]^1    -1

                                =[1.02]^2/[1.01]^1        -1

                                 = 1.0404/1.01            - 1

                               = 1.0301-1

                              = .0301 or 3.01%

b)One year interest rate fir next next year = [1+y3]^3/[1+y2]^2     -1

                          =[1+.03]^3/[1+.02]^2     -1

                           =[1.03]^3/[1+.02]^2      -1

                           = 1.092727/1.0404    -1

                           = 1.0503-1

                          = .0503 or 5.03%


Related Solutions

draw the yield curve described as follows: Interest rate: 1% in year 1,1.5% in year2,2% in...
draw the yield curve described as follows: Interest rate: 1% in year 1,1.5% in year2,2% in year3,3.5% in year 4. term premiums:0.5% for one-year bond,rising by 0.25% for each additional year of maturity.
You have the following information about the yield curve – Term 1 2 3 4 Rate...
You have the following information about the yield curve – Term 1 2 3 4 Rate 4% 4.50% 5% 5.50% What should be the price of a bond with a face value of $100 and an annual coupon of 5% that matures in 4 years. Show all calculations. In the above question if the market price of the bond is $95, can you do arbitrage? Show how and your profit or loss. Show all calculations. If the market price of...
Assume the following information: 1 - year U.S. interest rate = 3% 1- year German interest...
Assume the following information: 1 - year U.S. interest rate = 3% 1- year German interest rate = 6% Spot rate of euro = $1.09 What is the central bank likely to do and how will this affect the value of the euro? Without using an exchange rate model, what is your prediction for the one year forward rate given the likely action of Germany’s central bank, all things being equal?    Using the interest rate parity equation, was your...
Explain what the yield curve and the expectations hypothesis is. a) Suppose that the interest rate...
Explain what the yield curve and the expectations hypothesis is. a) Suppose that the interest rate on one-year bonds is currently 2 percent and is expected to be 3 percent in one year and 4 percent in two years. Using the expectations hypothesis, compute the yield curve for the next three years and show it graphically. b) Given the data in the accompanying table, would you say that this economy is heading for a boom or for a recession?   Explain...
Consider a Forward Rate Agreement (FRA) in which a trader will pay a rate of interest...
Consider a Forward Rate Agreement (FRA) in which a trader will pay a rate of interest of 5% per annum with quarterly compounding and receive LIBOR on a principal of $1 million for the three-month period starting on December 30. Suppose that on December 30 the three-month LIBOR proves to be 5.4% per annum with quarterly compounding. What is the cash flow for the trader?
Assume that there is a flat yield curve where the current interest rate on all government...
Assume that there is a flat yield curve where the current interest rate on all government bonds is 10% per annum. The government has just issued 1-year, 2-year, 5-year and 10-year bonds, all offering an interest rate of 10%, a face value of $100 and paying interest once per annum. Calculate the market price for each of these bonds, assuming that immediately following purchase of the bonds at $100 there is either a parallel upward movement in the yield curve...
Today, interest rates on 1-year T-bonds yield 1.5%, interest rates on 2-year T-bonds yield 2.55%, and...
Today, interest rates on 1-year T-bonds yield 1.5%, interest rates on 2-year T-bonds yield 2.55%, and interest rates on 3-year T-bonds yield 3.4%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. ________ % b. If the pure expectations theory is correct, what is the yield on 2-year...
Suppose that the yield curve shows that the one-year bond yield is 6 percent, the two-year...
Suppose that the yield curve shows that the one-year bond yield is 6 percent, the two-year yield is 5 percent, and the three-year yield is 5 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year...
Suppose the yield curve shows 1 year rates at 5%, 2 year rates at 10% and...
Suppose the yield curve shows 1 year rates at 5%, 2 year rates at 10% and 3 year rates at 15%. What is the price of a bond with a $1000 par value, maturity 3 years, and annual coupon payment of $50? Show work for credit.
​​​​​​ Assume that the current 1-year interest rate is 3%, the expected 1-year rate next year...
​​​​​​ Assume that the current 1-year interest rate is 3%, the expected 1-year rate next year is 2%, and the expected 1-year rate in the following year (3rd year) is 4%. Calculate the 2-year interest rate and the 3-year interest rate based on the expectations theory. (Show calculations) Draw the yield curve based on your data above. Label your axis and mark the numbers along the axis, so you can read the actual interest rates in your graph. (This doesn’t...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT