You just won the magazine sweepstakes and opted to take unending payments. The first payment will be $50,000 and will be paid one year from today. Every year thereafter, the payments will increase by 2.5 percent annually. What is the present value of your prize at a discount rate of 7.9 percent?

Elena receives $450 on the first of each month. Harley receives $450 on the last day of each month. Both Elena and Harley will receive four years of payments. If the discount rate is 9.5 percent, what is the difference in the present value of these two sets of payments?

A bond that pays interest semiannually has a price of $981.73 and a semiannual coupon payment of $27.75. If the par value is $1,000, what is the current yield?

Harpeth Valley Water District has a bond outstanding with a coupon rate of 4.03 percent and semiannual payments. The bond matures in 22 years, with a yield to maturity of 3.73 percent, and a par value of $5,000. What is the market price of the bond?

You just paid $480,000 for an annuity that will pay you and your heirs $15,000 a year forever. What rate of return are you earning on this policy?

Red Sun Rising Corporation has just signed a lease for its new manufacturing facility. The lease agreement calls for annual payments of $1,450,000 for 30 years with the first payment due today. If the interest rate is 3.39 percent, what is the value of this liability today?

Your grandparents would like to establish a trust fund that will pay you and your heirs $140,000 per year forever with the first payment 13 years from today. If the trust fund earns an annual return of 2.7 percent, how much must your grandparents deposit today?

Chris has three options for settling an insurance claim. Option A will provide $1,500 a month for 6 years. Option B will pay $1,025 a month for 10 years. Option C offers $85,000 as a lump sum payment today. The applicable discount rate is 6.8 percent compounded monthly. Which option should Chris select, and why, if he is only concerned with the financial aspects of the offers?

Mr. Rich arranged for a mortgage loan for 65 percent of the $2.5 million purchase price of a home. The monthly payment will be $10,400 and the mortgage term is 30 years. What is the EAR on this loan?

Roger has just lost a lawsuit and has agreed to make equal annual payments of $18,300 for the next 5 years with the first payment due today. The value of this liability today is $77,000. What is the interest rate on the payments?