Non-Level Annuities

Question 1

An n-year annuity-immediate with payments of P, P+Q, P+2Q, …, P+(n-1)Q, has the following Present Value:

Answer 1

Question 2

An n-year annuity-due with payments of P, P+Q, P+2Q, …, P+(n-1)Q, has the following Present Value:

Answer 2

Question 3

An n-year annuity-immediate with payments of P, P+Q, P+2Q, …, P+(n-1)Q, has the following Accumulated Value:

Answer 3

Question 4

An n-year annuity-due with payments of P, P+Q, P+2Q, …, P+(n-1)Q, has the following Accumulated Value:

Answer 4

Question 5

An n-year annuity-immediate with payments of 1,2,3,…,n has the following Present Value:

Answer 5

Question 6

An n-year annuity-due with payments of 1,2,3,…,n has the following Present Value:

Answer 6

Question 7

An n-year annuity-immediate with payments of 1,2,3,…,n has the following Accumulated Value:

Answer 7

Question 8

An n-year annuity-due with payments of 1,2,3,…,n has the following Accumulated Value:

Answer 8

Question 9

An n-year annuity-immediate with payments of n,n-1,n-2,…,1 has the following Present Value:

Answer 9

Question 10

An n-year annuity-due with payments of n,n-1,n-2,…,1 has the following Present Value:

Answer 10

Question 11

An n-year annuity-immediate with payments of n,n-1,n-2,…,1 has the following Accumulated Value:

Answer 11

Question 12

An n-year annuity-due with payments of n,n-1,n-2,…,1 has the following Accumulated Value:

Answer 12

Question 13

The relationship between decreasing annuities and level annuities

Answer 13

Question 14

The relationship between increasing annuities and level annuities

Answer 14

Question 15

For an increasing perpetuity-immediate with payments of 1,2,3…, the Present Value is:

Answer 15

Question 16

For an increasing perpetuity-due with payments of 1,2,3…, the Present Value is:

Answer 16

Question 17

In general, for an increasing perpetuity-immediate with payments of P,P+Q,P+2Q,… the Present Value is:

Answer 17

Question 18

For a perpetuity-immediate with payments of 1,2,3…n at the end of years 1,2,3,…n, followed by level payments of n at the end of each subsequent year, the Present Value is:

Answer 18

Question 19

For an annuity-immediate with m payments of (1/m) in the first year, m payments of (2/m) in the second year,… m payments of (n/m) in the nth year, the Present Value is:

Answer 19

Question 20

Answer 20

Question 21

For an annuity-immediate with continuous payments continuously increasing, in which the annual rate of payment at time t is t, the Present Value is:

Answer 21

Question 22

For an annuity immediate with first payment $1.00 and with subsequent payments increasing by a factor of (1+k), the PV is

Answer 22

Question 23

The adjusted rate of interest for an annuity with payments in geometric progression

Answer 23