Question

A perpetuity pays $390.26 at the start of each year. The present value of this perpetuity...

A perpetuity pays $390.26 at the start of each year.
The present value of this perpetuity at an annual effective interest rate i is equal to the present
value of an annuity which pays 800 at the start of the first year, 790 at the start of the second year,
780 at the start of the third year and so on for 20 years. Find i to 1 significant figure.

Homework Answers

Answer #1

i = 3.78%

Formulae

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the present value of an annuity due in perpetuity that pays $75 at the beginning...
Find the present value of an annuity due in perpetuity that pays $75 at the beginning of each year for 20 years and increases by 4% each year, starting at the beginning of the 21th year. Here assume effective annual interest i = 7%.
A perpetuity with payments of 1 at the end of each year has a present value...
A perpetuity with payments of 1 at the end of each year has a present value of 40. A 10-year annuity pays X at the beginning of each year. Assuming the same effective interest rate, the present values of the perpetuity and the 10-year annuity are equal. Find X.
Give the present value of a perpetuity that pays $1,000 at the end of every year....
Give the present value of a perpetuity that pays $1,000 at the end of every year. The first payment occurs at the end of the fifth year and the annual effective interest rate is 3%.
The present value of an annual perpetuity immediate of 150 is equal to the present value...
The present value of an annual perpetuity immediate of 150 is equal to the present value of an annual perpetuity immediate that pays 100 at the end of the first 20 years and 200 at the end of year 21 and each year thereafter. Calculate i.
The present value of perpetuity of $600 paid at the end of each year plus the...
The present value of perpetuity of $600 paid at the end of each year plus the present value of a perpetuity of $800 paid at the end of every 5 years is equal to the present value of an annuity of k paid at the end of each year for 25 years. Interest is 6% convertible quarterly. Calculate k. solution with details
The present values of the following three annuities are equal: (i) perpetuity-immediate paying 1 each year,...
The present values of the following three annuities are equal: (i) perpetuity-immediate paying 1 each year, calculated at an annual effective interest rate of 7.84%. (ii) 26-year annuity-immediate paying 1 each year, calculated at an annual effective interest rate of j%. (iii) n-year annuity-immediate paying 1 each year, calculated at an annual effective interest rate of (j−1)%. Calculate n.
A perpetuity pays $1000 at the end of every month for 11 months of each year....
A perpetuity pays $1000 at the end of every month for 11 months of each year. At the end of the 12th month of each year, it pays double that amount. If the effective ANNUAL rate is 10.4%, what is the present value of this perpetual annuity?
1. Find the present value of a 30-year annuity-due with semiannual payments in which the first...
1. Find the present value of a 30-year annuity-due with semiannual payments in which the first payment is $20,000, the second payment is $21,600, the third payment is $23,328, the fourth payment is $25,194.24, etc., assuming an annual effective rate of interest of 16%. 2. Find the present value of a varying perpetuity-DUE in which payments are made every two years with the first payment being $245, and each payment thereafter is $150 larger than the previous payment. Assume the...
the present value of a perpetuity of 6500 paid at the end of each year plus...
the present value of a perpetuity of 6500 paid at the end of each year plus the present value of a perpetuity of 8500 paid at the end of every 5 years is equal to the present value of annuity of k paid at the end of each year of 25 years. interest is 6% convertible quarterly. calculate k. please show and explain work
A perpetuity has a payment stream of Pt = 5t + 2 for t > 0...
A perpetuity has a payment stream of Pt = 5t + 2 for t > 0 at an annual effective interest rate of r. Another perpetuity pays $40 continuously for the first year, $45 continuously for the second year, and so on, forever with an annual effective interest rate of 5%. The present values of the two perpetuities are equal. Determine r.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT