An investor has a series of three $$12,000$ payments expected to be realized at the end of each of

the evaluation years three, four and five. Calculate the present value $"$P$"$ at time zero and the

corresponding future value $"F"$ at the end of year $7.$ No payments are realized in periods zero,

one, two, six or seven. Assume a nominal interest rate of $12\%$ compounded annually.