What is the present value of $1000 in 6 years if j1 = 8% for 2 years and j1 = 7% thereafter?

Two thousand dollars was invested for 10 years at the following interest rates: j2 = 5% for years 1, 2, and 3; j4 = 8% for years 4, 5, 6, and 7; and j12 = 6% for years 8, 9, and 10. Determine the accumulated value and the compound interest earned. What equivalent nominal rate, j2, was earned over the 10-year period?

A debt of $5000 is due at the end of 5 years. It is proposed that $X be paid now with another $X paid in 10 years' time to liquidate the debt. Calculate the value of X if the effective interest rate is 6.1% for the first 6 years and 4.8% for the next 4 years.

Let i be the annual effective interest rate and r be the annual effective inflation rate. Show that the present value of (1 + r)^n due in n years at an annual effective rate i is equal to the present value of (1 + r)^n due in n years at an annual effective rate i-r/1+r.

The population of Happy Town on December 31, 2007, was 15000. The town is growing at a rate of 2% per annum. What would be the increase in population in the calendar year 2015?