a debt of $1,000 is incurred at t 5 0. What is the amount of four equal payments at t 5 1, 2, 3, and 4 that will repay the debt if money is worth 10 percent compounded per period

$315.47

Explanation:

As this requires equal annual payments, it makes it an annuity. The $1,000 debt will be the present value of the annuity so a present value of annuity formula can be used:

1,000 = Annuity * ( 1 - ( 1 + rate) ^ -n) / rate

1,000 = Annuity * ( 1 - ( 1 + 10%)⁻⁴ ) / 10%

1,000 = Annuity * 3.169865

Annuity = 1,000/3.169865

Annuity = $315.47

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%