Question

In: Finance

1. What is the price for a $1,000 par, 10 year, 8% coupon bond with semiannual...

1. What is the price for a $1,000 par, 10 year, 8% coupon bond with semiannual payments and a 7% yield to maturity?

A. 1,105.94

B. 1,106.78

C. 1,071.06

D. 883.31

E. 907.99

2. What is the price for a $1,000 par, 20 year, 8% coupon bond with semiannual payments and a 9% yield to maturity?

A. 1,071.06

B. 1,106.78

C. 1,105.94

D. 907.99

E. 883.31

3. What is the price for a $1,000 par, 20 year, 8% coupon bond with annual payments and a 7% yield to maturity?

A. 1,071.06

B. 1,105.94

C. 883.31

D. 907.99

E. 1,106.78

4. What is the price for a $1,000 par, 5 year, 6% coupon bond with annual payments and a 9% yield to maturity?

A. 1,105.94

B. 883.31

C. 1,071.06

D. 1,106.78

E. 907.99

Thank you in advance!!!

Solutions

Expert Solution

Q1.
Par value of bonds 1000
Semi annul cash interest (1000*8%*6/12) 40
Annuity for 20 periods at 3.50% 14.2124
PVF at 20th period at 3.50% 0.502566
Present value of Interest 568.496
Present value of maturity 502.566
Issue price 1071.062
Answer is C. 1071.06
Q2.
Par value of bonds 1000
Semi annul cash interest (1000*8%*6/12) 40
Annuity for 40 periods at 4.50% 18.40158
PVF at 40th period at 4.50% 0.171929
Present value of Interest 736.0632
Present value of maturity 171.929
Issue price 907.9922
Answer is D. 907.99
Q3.
Par value of bonds 1000
Aannul cash interest (1000*8%) 80
Annuity for 20 periods at 7% 10.59401
PVF at 20th period at 7% 0.258419
Present value of Interest 847.5208
Present value of maturity 258.419
Issue price 1105.94
Answer is B. 1105.94
Q4.
Par value of bonds 1000
Aannul cash interest (1000*6%) 60
Annuity for 5 periods at 9% 3.88965
PVF at 5th period at 9% 0.649931
Present value of Interest 233.379
Present value of maturity 649.931
Issue price 883.31
Answer is B. 883.31

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