Calculate present value of perpetuity as follows:

Answer:60
Formulas:

A perpetuity has payments of 1, 1, 2, 1, 1, 3, 1, 1, 4,... Payments are...
The answer should be 1.9524
Perpetuity X has an annual payments of 1,2,3,..., at the end of each year. Perpetuity Y has an annual payments of p, p, 2p, 2p, 3p, 3p, ... at the end of each year. The present value of X is equal to the present value of Y at an annual effective interest rate of 5%. Find p.
A perpetuity due with annual payments has the following payment pattern: 1, 2, 3, 1, 2, 3, ... Determine the present value of the perpetuity at an annual effective interest rate of 5%.
Spring 2019 Chapter 2: Annuities MAT 3541 Part D Basic problems 1. A perpetuity has payments of w, w, 2w, 2w, 3w, 3w,.. with payments made at the end of each year. The present value using an annual effective interest rate of 10% of this perpetuity is equal to the present value of the geometrically increasing perpetuity with initial payment w and each subsequent payment increasing by a factor of 1+r. Calculate r. [Ans. 0.0826]
(1 point) Payments under a continuous perpetuity are made at the periodic rate of 1.03' at time t. The annual effective rate of interest is 0.12. Find the present value of the perpetuity. ANSWER-
(1 point) Payments under a continuous perpetuity are made at the periodic rate of 1.03' at time t. The annual effective rate of interest is 0.12. Find the present value of the perpetuity. ANSWER-
2) You are given a perpetuity, with annual payments as follows: Payments of 1 at the end of the first year and every three years thereafter. Payments of 2 at the end of the second year and every three years thereafter. Payments of 3 at the end of the third year and every three years thereafter. The interest rate is 5% convertible semi-annually. Calculate the present value of this perpetuity. A. 24 B. 29 C. 34 D. 39 E. 47
A perpetuity has annual payments. The first payment is for $330 and then payments increase by $10 each year until they become level at $600. Find the value of this perpetuity at the time of the first payment using an annual effective interest of 4%. (Round your answer to the nearest cent.)
Solve without excel
(1 point) Payments under a continuous perpetuity are made at the periodic rate of 1.03' at time t. The annual effective rate of interest is 0.12. Find the present value of the perpetuity. ANSWER-
Dake is receiving a perpetuity due with annual payments. The payments are $1,000 at the beginning of each year except the payment at the beginning of every fifth year is $6,000. In other words, the first four payments at $1,000 with the fifth payment being $6,000. This is followed by four more payments of $1,000 and then a fifth payment of $6,000. This pattern continues forever. Using an annual effective interest rate of 8%. Calculate the present value of this...
QUESTION 6 John receives a perpetuity making payments using the following scheme: The first payment will be for 2 at the end of the 5" year The remaining payments will occur every three years, following the first payment Each subsequent payment will be X% larger than the previous payment The present value of this perpetuity at an annual effective interest rate of 10% is equal to 25. Calculate X. Give your answer rounded to two decimal places.
11. Jeff bought an increasing perpetuity-due with annual payments starting at 5 and increasing by 5 each year until the payment reaches 100. The payments remain at 100 thereafter. The annual effective interest rate is 7.5%. Determine the present value of this perpetuity. A. 700 B. 785 C. 760 D. 735 E. 810