A bond has a face value of 1000 The bond matures in 10 years
A bond has a face value of $1,000. The bond matures in 10 years. It has a coupon rate of 8% and pays interest annually. The yield is 9%. What is the price of the bond?
Question 1 options:
A) 1,122.15
B) 788.56
C) 1,000.00
D) 935.82
Question 2: A bond has a par value of 1,000. Matures in 20 years. Coupon rate of 11% per year. Annual coupon payments. Yield on this bond is 12%. What is the price?
Question 2 options:
A) 1,000.00
B) 925.31
C) 856.71
D) 1,100.22
Question 3: What can be stated for certain, before performing any calculations on the following bond? Face value $1,000. Coupon rate 9%. Yield 9%.
Question 3 options:
A) The bond price equals face value.
B) The bond will be priced at a discount to face value.
C) The bond will be priced at a premium to face value.
Question 4: A bond has a face (par) value of 10,000. It matures in 20 years. The bond has an annual coupon of 9%. Based on a market rate (yield) of 7%, what is the current price of the bond?
Question 4 options:
A) 12,118.80
) 10,000.00
C) 11,243.00
D) 9,765.23
Question 5: A bond has a par value of 10,000. It matures in 15 years. The bond has a coupon rate of 7%, paid annually. Based on a market rate (yield) of 6%, what is the bond\'s price?
Question 5 options:
A) 10,971.22
B) 9,892.12
C) 10,000.00
D) 9,789.34
Question 6: A bond matures in 15 years with a $1,000 face value. The bond has a coupon rate of 12%, but payments are made semi-annually. Based on a yield of 9% in the marketplace, what is the bond\'s current price?
Question 6 options:
A) 1,244.33
B) 1,345.09
C) 1,000.00
D) 978.65
Question 7:Before performing any calculations, what can be stated with certainty about the following bond? Face value 1,000. Coupon rate 9%. Yield 10%.
Question 7 options:
A)The bond will trade at a discount to face value.
B)The bond will be priced at a premium to face value.
C)The bond price will equal face value.
Question 8: A bond with semi-annual coupon payments has the following characteristics: Par value of 10,000; coupon rate of 10% (annual); maturity date 30 years; yield of 9%. What is the current price?
Question 8 options:
A) 11,031.90
B) 9,566.76
C) 12,355.23
D) 10,000.00
Solution
Question - 1
Price of the bond = Coupon * [ 1 - (1+r)-n ] / r + Face value * (1+r)-n
coupon = 1000*8% = 80 ,,,,,,,, r = 0.09 and n = 10 years
80 * [ 1 - (1.09)-10 ] / 0.09 + 1000 * (1.09)-10 = 935.82....................... Option - D
Question - 2
Price of the bond = Coupon * [ 1 - (1+r)-n ] / r + Face value * (1+r)-n
coupon = 1000*11% = 110 ,,,,,,,, r = 0.12 and n = 20 years
110 * [ 1 - (1.12)-20 ] / 0.12 + 1000 * (1.12)-20 = 925.31....................... Option - B
Question - 3
A) The bond price equals face value.
It happens like this every time when coupon rate equals the Yield rate
Question - 4
Question 4: A bond has a face (par) value of 10,000. It matures in 20 years. The bond has an annual coupon of 9%. Based on a market rate (yield) of 7%, what is the current price of the bond?
Price of the bond = Coupon * [ 1 - (1+r)-n ] / r + Face value * (1+r)-n
coupon = 10000*9% = 900 ,,,,,,,, r = 0.07 and n = 20 years
900 * [ 1 - (1.07)-20 ] / 0.07 + 10000 * (1.07)-20 = 12118.80....................... Option - A
Question - 5
Price of the bond = Coupon * [ 1 - (1+r)-n ] / r + Face value * (1+r)-n
coupon = 10000*7% = 700 ,,,,,,,, r = 0.06 and n = 15 years
700 * [ 1 - (1.06)-15 ] / 0.06 + 10000 * (1.06)-15 = 10971.22....................... Option - A
Question - 6
A bond matures in 15 years with a $1,000 face value. The bond has a coupon rate of 12%, but payments are made semi-annually. Based on a yield of 9% in the marketplace, what is the bond\'s current price?
Price of the bond = Coupon * [ 1 - (1+r)-n ] / r + Face value * (1+r)-n
coupon = 1000*12% * 1/2 = 60 ,,,,,,,, r = 0.09/2 = 0.045 and n = 15 years * 2 = 30
60 * [ 1 - (1.045)-30 ] / 0.045 + 1000 * (1.045)-30 = 1244.33...................... Option - A
Question - 7
A) Bonds will be traded at discount.
Because the company is paying less than what is expected as yield.
Question - 8 ............. A) 11,031.90


