Suppose you save $$1,000$ per year at the beginning of each year for $3$ years and earn $5\%$ interest per year. What is the present value of this annuity

Suppose you can save $$100$ per year at the end of each year for $10$ years and earn $5\mathrm{.}45\%$ interest per year. However, you cannot start saving for four years. How much will you have at the end of $14$ years?

Suppose that the constant and perpetual cash flow is $$1,000$ and the discount rate is $8\%.$ What is the value of this perpetuity?

Suppose that the constant and perpetual cash flow is $$1,000$ and the discount rate is $10\%.$ What is the value of this perpetuity?