Value of a delayed annuity whose 7 payments start in 5 years:

If a person invests $1000 at 8% per year compounded quarterly, find how much can be withdrawn at the end of every quarter to use up the fund exactly at the end of 10 years:

Find the rate, compounded quarterly, at which $16000 is the present value of $1000 paid at the end of every quarter for 5 years:

Find the accumulated value of a 10-year annuity of $100 per year if the effective rate of interest is 5% for the first 6 years and 4% for the last 4 years:

Find the future value of an annuity of 1 per year if the force of interest is .02t where t is time:

A loan of $3000 is to be repaid with quarterly installments at the end of each quarter for 5 years. If the interest rate is 10% compounded semiannually, find the amount of each quarterly payment:

Find the (constant) force of interest at which the future value of a 20-period continuous payment annuity, such that the amount paid over one period is equal to 1, equals 3 times that of a 10-period annuity:

Find the present value of a perpetuity whose successive payments are 1, 2, 3, ... at an effective rate of 5% interest:

Find a general expression for the above annuity in terms of the interest, the initial payment, and the growth amount:

Find an expression, in terms of the interest rate, for the present value of an annuity such that payments start at $1, increasing by $1 every period until reaching $10, and then remain at $10 until 15 total payments are made:

Find an expression, in terms of the interest rate, for the present value of an annuity with payments that start at $1, increase by $1 every period until reaching $10, and then decrease by $1 every period until reaching $0:

Find the present value, 2 years before the first payment, of a 20-period annuity at 7% whose payments start at $1000 and grow by 4% thereafter:

Find the present value, in terms of the interest rate, of a perpetuity that pays 1 at the end of the third year, 2 at the end of the sixth year, 3 at the end of the ninth year, etc.:

Find an expression for the present value of a continuously increasing annuity with a term of

n years if the (constant) force of interest is

and the rate of payment is

per year at time

t: