First, let's calculate how many years are between 1952 and 2057, which is 2057 - 1952 = 105 years.
To calculate the future value of an investment using simple annual interest, you would use the formula:
Future Value = Present Value * (1 + (interest rate/100)) ^ number of years
Here, each silver dollar was purchased for its face value of $1, and we assume they appreciate at an annual rate of 5.4 percent. Thus, the future value of one coin would be:
Future Value of One Coin = $1 * (1 + 0.054) ^ 105
To find the value of all 47 coins, we multiply the future value of one coin by the total number of coins:
Total Future Value = Future Value of One Coin * Number of Coins
Now, we just plug in the numbers and calculate. It's best to use a calculator or spreadsheet program for this. Keep in mind that this is a simplified calculation and actual results could vary due to a variety of factors.
Please note that the real-world value of coins can depend on more than just their face value. The condition of the coins, their rarity, and the demand among collectors can all influence their worth. For this reason, this calculation is a simplified estimate and may not reflect the actual value of your coin collection in 2057.