Example $11\mathrm{.}2$D: Lottery Winnings

The Set for Life instant scratch $n^{\text{'}}$ win teket offen players a chance to win $$1,000$ per week for the next $25$ ycan starting immediately upon validation. If a winner was to invest all of his money into an account earning $5\%$ compounded annually how much moncy would he have at the end of his $25-$year term? Assume each year has exactly $52$ weels.

Step $1.$ The payments start immediately, and the compounding period and payment intervals are different. Therefo this a general annuity due. Calculate its value at the end, which is its future value, or FV DUr