Use the perpetuity formula, 𝐴 = 𝑑 𝑖 where 𝐴 is total amount, 𝑑 is periodic payment and 𝑖 is interest rate per compounding period.

A charitable foundation establishes an endowment to provide an annual scholarship payment of $\$2{,}500$ in perpetuity. The endowment earns interest at a rate of $5\%$ per annum. Using the perpetuity formula, calculate the total amount that must be invested now to fund this scholarship indefinitely. Give your answer to the nearest dollar.

A community foundation invests $120,000 in a perpetuity that pays $4,800 annually at an interest rate of 4.0% p.a. compounding annually. Calculate the periodic payment that could be supported if the same amount were instead invested in a perpetuity earning 4.8% p.a. compounding annually.

A financial endowment will pay a scholarship of $\$2{,}500$ at the end of each year forever. If the endowment fund earns $4\%$ per annum, what is the capital value of the endowment required to generate these perpetual payments?