Homework Answers
3 year rate one year from now = [(1.05)(1.0659)(1.068)(1.07)]/(1.05) - 1
3 year rate one year from now = 6.80%
Price of 3 year Zero Coupon Bond = 1,000/(1.068)3
Price of 3 year Zero Coupon Bond = $821
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Term 1 5.00% 2 6.59% 3 6.80% 4 7.00% Spot Rate One year from now, you...
Suppose the one year spot rate and two year spot rate are both 3%. a) What...
Suppose the one year spot rate and two year spot rate are both 3%. a) What is the price of a two year ZCB? b) What is the price of a one year ZCB today? c) What do I expect the price of a one year ZCB to be, one year from now? Same 3 questions except now the one year spot rate is 3% and the 2 year spot rate is 4%. Same 3 questions except now the one...
Debt & Bonds 1. The table below presents the spot rates an investor faces. Year Spot...
Debt & Bonds
1. The table below presents the spot rates an investor
faces.
Year
Spot Rate
1
2%
2
3%
3
4%
4
5%
Assume that, for each maturity, there is a zero-coupon bond
traded in the market. These zeros pay $1,000 at their respective
maturity.
a. Is the term structure positive, inverted, or flat?
b. What is the forward rate from t=1 to t=2?
c. Suppose that the investor is expecting to receive $1 million
at t=1. This...
(1.) Consider the following annualized spot yields: Maturity Annualized Spot Rate One Year 5.00% Two Years...
(1.) Consider the following annualized spot yields: Maturity Annualized Spot Rate One Year 5.00% Two Years 5.50% Three Years 6.00% Four Years 6.00% Five Years ? (a.) Assuming the expectations theory of the term structure is correct, calculate the expected one-year interest rate one year from now (i.e. 1f2). (b.) Assuming the expectations theory of the term structure is correct, calculate the expected one-year interest rate three years from now (i.e. 3f4). (c.) Suppose a forecasting service predicts that th...
Only second. Not 1 Problem 2 (27 points) Suppose you hold a 6.80 percent coupon bond...
Only second. Not 1
Problem 2 (27 points) Suppose you hold a 6.80 percent coupon bond with a par value of $1,000, that matures in 30 years and pays semi-annual coupons. 1) If currently, the bond is priced to offer a yield to maturity of 7.00 percent, what is its current selling price? (8 points) Problem 3 (15 points) O'Brien Lid's outstanding bonds have a $1.000 par value and they mature in 25 years. The nominal yield to maturity is...
You are given the following benchmark spot rates: Maturity Spot Rate 1 2.90% 2 3.20% 3...
You are given the following benchmark spot rates: Maturity Spot Rate 1 2.90% 2 3.20% 3 3.60% 4 4.20% a) Compute the forward rate between years 1 and 2. b) Compute the forward rate between years 1 and 3. c) What is the zero price today of a five-year zero-coupon bond if the forward price for a one-year zero-coupon bond beginning in four years is known to be 0.9461 d) Calculate the price of a 4% annual coupon corporate bond...
2. You want to know what 2-year spot rates will be one year from now. According...
2. You want to know what 2-year spot rates will be one year from now. According to the pure expecta- tions theory, this unknown forward rate of interest is implied by current spot rates. The simplest method of calculating this forward rate is to use today's 1-year and 3-year spot rates; i.e., the spot rates that take you out to the start of, and to the end of the forward period of time you are interested in. Thus: (1 +...
Suppose the yield curve has the one-year spot rate (r (1)) at 5% and two-year spot...
Suppose the yield curve has the one-year spot rate (r (1)) at 5% and two-year spot rate (r(2)) at 7%. Which bond has the lowest price? A - 1-year zero coupon bond with face value $100 B- 2-year zero coupon bond with face value of $100 C- 2-year zero coupon bond with 2% annual coupon and face value $100 D- 2-year coupon bond with 10% annual coupon and face value $50
9. (10 points) Suppose that the spot in spot interest rate on a two-year zero-com year...
9. (10 points) Suppose that the spot in spot interest rate on a two-year zero-com year Zero-coupon bond is 40 ar zero-coupon bond is 3.0%, the Assume annual compound a. (6 points) Based on the pure expectat is the expected one-year inte approximation from class.) se that the spot interest rate one-year zero-coupon Zero-coupon bond is 4.0 and the spot interest rate on a three al compounding throughout the problem. points) Based on the nume r ations theory of the...
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par...
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par value bond with annual coupon payments has yield curve above coupon rate of 4%. Use the a (a) find the price P. (b)* find the yield to maturity
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par value bond...
2) Suppose the one year spot rate and two year spot rate are both 3%. a)...
2) Suppose the one year spot rate and two year spot rate are both 3%. a) What is the price of a two year ZCB? b) What is the price of a one year ZCB today? c) What do I expect the price of a one year ZCB to be, one year from now? Same 3 questions except now the one year spot rate is 3% and the 2 year spot rate is 4%. Same 3 questions except now the...
Debt & Bonds
1. The table below presents the spot rates an investor
faces.
Year
Spot Rate
1
2%
2
3%
3
4%
4
5%
Assume that, for each maturity, there is a zero-coupon bond
traded in the market. These zeros pay $1,000 at their respective
maturity.
a. Is the term structure positive, inverted, or flat?
b. What is the forward rate from t=1 to t=2?
c. Suppose that the investor is expecting to receive $1 million
at t=1. This...
Only second. Not 1
Problem 2 (27 points) Suppose you hold a 6.80 percent coupon bond with a par value of $1,000, that matures in 30 years and pays semi-annual coupons. 1) If currently, the bond is priced to offer a yield to maturity of 7.00 percent, what is its current selling price? (8 points) Problem 3 (15 points) O'Brien Lid's outstanding bonds have a $1.000 par value and they mature in 25 years. The nominal yield to maturity is...
2. You want to know what 2-year spot rates will be one year from now. According to the pure expecta- tions theory, this unknown forward rate of interest is implied by current spot rates. The simplest method of calculating this forward rate is to use today's 1-year and 3-year spot rates; i.e., the spot rates that take you out to the start of, and to the end of the forward period of time you are interested in. Thus: (1 +...
9. (10 points) Suppose that the spot in spot interest rate on a two-year zero-com year Zero-coupon bond is 40 ar zero-coupon bond is 3.0%, the Assume annual compound a. (6 points) Based on the pure expectat is the expected one-year inte approximation from class.) se that the spot interest rate one-year zero-coupon Zero-coupon bond is 4.0 and the spot interest rate on a three al compounding throughout the problem. points) Based on the nume r ations theory of the...
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par value bond with annual coupon payments has yield curve above coupon rate of 4%. Use the a (a) find the price P. (b)* find the yield to maturity
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par value bond...
2) Suppose the one year spot rate and two year spot rate are both 3%. a) What is the price of a two year ZCB? b) What is the price of a one year ZCB today? c) What do I expect the price of a one year ZCB to be, one year from now? Same 3 questions except now the one year spot rate is 3% and the 2 year spot rate is 4%. Same 3 questions except now the...
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