IB Mathematics Applications & Interpretation Question Type 1: Calculating the Missing Variable Under Annuity Formula Using Technology Exercises

Determine the interest rate if $20\text{,}000$ invested today provides annual withdrawals of $1\text{,}500$ for 20 years.

Determine the annual payment required to amortize $75,000 over 10 years at 6% interest.

Calculate the present value of an ordinary annuity paying $8000$ yearly for $20$ years at $4.5\%$.

Calculate the annual interest rate needed if a present value of $50,000 is to be converted into annual payments of $4,000 over 15 years.

Find the number of annual payments of $2000$ required for the present value of an annuity to be $25000$, given an interest rate of $4\%$ per annum compounded annually.

What is the minimum number of years required for an ordinary annuity with payments of $1200$ per year to have a present value of $15000$ if the annual interest rate is $4\%$? State your answer as a whole number of years.

Find the annual payment to amortize a $60 000 loan over 18 years at an interest rate of 3.2%.

A retiree wants to receive $3,000 at the end of each year for 25 years. Calculate the lump-sum amount needed today if the interest rate is 2.5%.

Calculate the present value of an ordinary annuity that pays $5 000 annually for 30 years at an annual interest rate of 3%.

Calculate the present value required to fund $10,000 annual payments for 40 years at 3.5% interest.

Find the interest rate necessary so that a $30000$ present value yields $3500$ annually for 12 years.

Determine the annual payment required to amortize a loan with present value $100000$ over 20 years at an interest rate of 5% per annum.