9. A bond pays $50 at the end of each year for three years. The interest rate is 10%. The duration of that bond is
a. 3 years
b. 2 years
c. 1 year
d. between 1 and 2 years
e. between 2 and 3 years
Why is the answer d?
Time | Cash flow | PV of Cash flow | PV*Time | |
1 | 50 | 45.45 | 45.45455 | |
2 | 50 | 41.32 | 82.64463 | |
3 | 50 | 37.57 | 112.6972 | |
Total | 124.34 | 240.7964 | ||
Maculay Duration | 1.94 | (=240.7964/124.34) |
Since Maculay Duration is found out to be 1.94 hence hence
duration is between 1 and 2 years
Please Discuss in case of Doubt
Best of Luck. God Bless
Please Rate Well
9. A bond pays $50 at the end of each year for three years. The interest...
Raj deposits 50 into a fund at the end of each month for 5 years. The fund pays interest at an annual effective rate of i. The total amount of interest earned during the last month of year 5 is 13. Calculate the accumulated amount in Raj's account at the end of year 5 A) 3325 B) 3350 C) 3375 D) 3400 E) 3425
A coupon bond pays $100 at the end of each year for 3 years, and at the maturity date in 3 years, in addition to the final coupon payment, the bond also makes a face value payout of $500. If the interest rate is 3% then this bond has a present value of $740.43 $755.55 $762.98 $808.08
3. An investment pays 2000 in three years and 4000 at the end of the fourth year. If it was purchased to yield an annual rate of 7.5%, what would be the modified duration? A) 3.35 B) 3.40 C) 3.50 D) 3.65 E) 3.70
A bond will pay $80 in interest at the end of each of the next three years, plus $1,000 at the end of the third year. If it has a present market price of $950, its yield-to-maturity is: (a) 8.5%. (b) 9.4%. (c) 10%. (d) 10.5%. (e) 11.2%. PLEASE PROVIDE HANDWRITTEN WORK
9- An 8% coupon rate $1,000 bond matures in 10 years, pays interest semi-annually, and has a yield to maturity of 5.5%. What is the current market price of the bond?______ A- $889.35 B- $1,000 C- $1,190.34 D- $993.62 10- If you earned a rate of return of 8% on your bond investments last year. During that time the inflation rate was 2.68%. What is your real rate of return? A- 3.98% B- 4.57% C- 4.72% D- 5.18%
Suppose you receive $100 at the end of each year for the next three years. a. If the interest rate is 10%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? c. Suppose you deposit the cash flows in a bank account that pays 10% interest per year. What is the balance in the account at the end of each of the next...
2. May, 2005 #3 A bond will pay a coupon of 100 at the end of each of the next three years and will pay the face value of 1000 at the end of the three-year period. The bond's duration (Macaulay duration) when valued using an annual effective interest rate of 20% is X. Calculate X. (A) 2.61 (B) 2.70 (C) 2.77 (D) 2.89 (E) 3.00
Suppose you receive $180 at the end of each year for the next three years. a. If the interest rate is 9%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? C. Suppose you deposit the cash flows in a bank account that pays 9% interest per year. What is the balance in the account at the end of each of the next...
Intro A corporate bond pays interest twice a year and has 18 years to maturity, a face value of $1,000 and a coupon rate of 5.7%. The bond's current price is $1,373.42. It is callable starting 12 years from now (years to call) at a call price of $1,076. Attempt 2/5 for 9 pts. Part 1 What is the bond's yield to maturity? Enter your answer as a decimal. 4+ decimals Submit Attempt 1/5 for 10 pts. Part 2 What...
2) If a security pays $110 in one year and $133 in three years, its present value is $200 if the interest rate is A) 5 percent. B) 10 percent. C) 12.5 percent. D) 15 percent. 7) The price of a coupon bond and the interest rate are ________ related; that is, as the interest rate ________, the price of the bond ________. A) positively; rises; rises B) negatively; falls; falls C) positively; rises; falls D) negatively; rises; falls You...