Question

For a present sum of $840,000, determine the annual worth (in then-current dollars) in years 1 through 6 if the market interest rate is 10% per year and the inflation rate is 3% per year. The annual worth is:________ $ .

Answer 1

The annual worth is:________

$667,380

Step-by-step explanation:

Present value of investment = $840,000

Number of years = 6

Market interest rate = 10%

Inflation rate = 3%

Real interest rate = 7%

PV Annuity factor = 4.767

Total FV of annuity = $840,000 * 4.767 = $4,004,280

Annual worth = $4,004,280/6 - $667,380

The annual worth of the investment of $840,000 will be $667,380 based on the market-adjusted interest rate of 7% (10 - 3).