Use the following information to answer questions 1-5.
Today’s spot rates are given in the following.
Year | r |
1 | 6% |
2 | 5.50% |
3 | 5.00% |
4 | 4.50% |
What is the today’s shape of the yield curve for the term structure of interest rates of the next four years?
- A) flat
- B) downward sloped
- C) upward sloped
- D) cannot be decided
- E) none of the above
- What is the price of a ten percent coupon bond with a maturity of two years with a face value of $1000 and annual coupon payment?
- A) $1082.6
- B) $ 950.5
- C) $580.5
- D) $1100.5
- E) none of the above
What is the yield to maturity for a zero coupon bond with a maturity of two years?
- A) cannot be decided, since the market price of the bond is not given.
- B) 5%
- C) 6%
- D) 5%
- E) none of the above
- What is the tomorrow’s spot rate of one year ?
- A) 5%
- B) 6%
- C) cannot be decided by using today’s term structure of the interest rates
- D) 5%
- E) none of the above
- What is the forward rate from year 3 to year 4?
- A) 0%
- B) 0%
- C) 5%
- D) 01%
- E) none of the above
- What is the today’s shape of the yield curve for the term structure of interest rates of the next four years?
- A) flat
- B) downward sloped
- C) upward sloped
- D) cannot be decided
- E) none of the above
Answer: B
- What is the price of a ten percent coupon bond with a maturity of two years with a face value of $1000 and annual coupon payment?
- A) $1082.6
- B) $ 950.5
- C) $580.5
- D) $1100.5
- E) none of the above
Answer: A
Bond price =100/1.06+1100/1.0552=$1082.6
- What is the yield to maturity for a zero coupon bond with a maturity of two years?
- A) cannot be decided, since the market price of the bond is not given.
- B) 5%
- C) 6%
- D) 5%
- E) none of the above
Answer: B
- What is the tomorrow’s spot rate of one year ?
- A) 5%
- B) 6%
- C) cannot be decided by using today’s term structure of the interest rates
- D) 5%
- E) none of the above
Answer: C
- What is the forward rate from year 3 to year 4?
- A) 0%
- B) 0%
- C) 5%
- D) 01%
- E) none of the above
Answer: D
f4 =1.0454/1.053-1=3.01%