Q$6$ Kenneth estimates he will need a $$75,000$ annual income in today's dollars when he retires $10$ years from now. He assumes a $3\%$ annual rate of inflation, a $5\%$ after$-$tax rate of return on his investments, and a $20-$year retirement period. What lump$-$sum amount should Kenneth accumulate over the next $10$ years to support his retirement income need?

a$.$ $$2,015,880.$

b$.$ $$1,657,429.$

c$.$ $$1,689,612.$

d$.$ $$1,257,227.$