a. Assume a par value of $1,000. Caspian Sea plans to issue a 9.00 year, semi-annual pay bond that has a coupon rate of 8.07%. If the yield to maturity for the bond is 7.71%, what will the price of the bond be? Please show an explanation or steps to this problem.

b. Assume a par value of $1,000. Caspian Sea plans to issue a 20.00 year, semi-annual pay bond that has a coupon rate of 7.90%. If the yield to maturity for the bond is 8.21%, what will the price of the bond be? Please show an explanation or steps to this problem.

c. Assume a par value of $1,000. Caspian Sea plans to issue a 26.00 year, semi-annual pay bond that has a coupon rate of 17.00%. If the yield to maturity for the bond is 17.0%, what will the price of the bond be? Please show an explanation or steps to this problem.

d. What is the value today of receiving $1,582.00 per year forever? Assume the first payment is made 8.00 years from today and the discount rate is 10.00%. Please show an explanation or steps to this problem.

e. Assume a par value of $1,000. Caspian Sea plans to issue a 19.00 year, annual pay bond that has a coupon rate of 8.07%. If the yield to maturity for the bond is 7.80%, what will the price of the bond be? Please show an explanation or steps to this problem.

f. Assume a par value of $1,000. Caspian Sea plans to issue a 15.00 year, annual pay bond that has a coupon rate of 7.95%. If the yield to maturity for the bond is 8.35%, what will the price of the bond be? Please show an explanation or steps to this problem.

g. Assume a par value of $1,000. Caspian Sea plans to issue a 22.00 year, annual pay bond that has a coupon rate of 18.00%. If the yield to maturity for the bond is 18.0%, what will the price of the bond be? Please show an explanation or steps to this problem.

h. Caspian Sea Drinks needs to raise $35.00 million by issuing bonds. It plans to issue a 13.00 year semi-annual pay bond that has a coupon rate of 5.10%. The yield to maturity on the bond is expected to be 4.88%. How many bonds must Caspian Sea issue? (Note: Your answer may not be a whole number. In reality, a company would not issue part of a bond.) Please show an explanation or steps to this problem.

i. The market price of a semi-annual pay bond is $979.88. It has 18.00 years to maturity and a yield to maturity of 7.24%. What is the coupon rate? Please show an explanation or steps to this problem.

j. The market price of a semi-annual pay bond is $970.94. It has 19.00 years to maturity and a coupon rate of 7.00%. Par value is $1,000. What is the yield to maturity? Please show an explanation or steps to this problem.

k. Today is Derek's 25th birthday. Derek has been advised that he needs to have $3,432,971.00 in his retirement account the day he turns 65. He estimates his retirement account will pay 10.00% interest. Assume he chooses not to deposit anything today. Rather he chooses to make annual deposits into the retirement account starting on his 27.00th birthday and ending on his 65th birthday. How much must those deposits be? Please show an explanation or steps to this problem.