Annuity A pays 1 at the beginning of each year for five years. Annuity B pays 1 at the beginning of each year for four years. The Macaulay duration of Annuity A at the time of purchase is Σ/10. Both annuities offer the same yield rate. Calculate the Macaulay duration of Annuity B at the time of purchase. Σ=22

Annuity A pays 1 at the beginning of each year for five years. Annuity B pays 1 at the beginning of each year for four years. The Macaulay duration of Annuity A at the time of purchase is Σ/10. Both annuities offer the same yield rate. Calculate the Macaulay duration of Annuity B at the time of purchase. Σ=22

Financial Accounting Intro Concepts Meth/Uses

14th Edition

ISBN:9781285595047

Author:Weil

Publisher:Weil

ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications

Section: Chapter Questions

Problem 20E

See similar textbooks

Similar questions

A perpetuity of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or more
You are given the following about two annuities-immediate: Annuity A pays 300 at the end of each year for 18 years. d ofc Annuity B pays 399.865 at the end of each year for 9 years. At an annual effective rate of interest i, the PV of both annuities are equal. Calculate i. Ponible Answers 12% 11% C 10% D 13% 14%
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Annual Payment Rate $4,700 6.0 % 8.0 % 7,700 6,700 10.0 % Show Transcribed Text 1. 2. 3. Annuity Annual Payment Rate Interest Compounded Quarterly Annually Semiannually $ 5,700 Interest Compounded 8.0 % Quarterly 10,700 11.0% Annually 4,700 10.0 % Semiannually Period Invested 5 years 6 years 9 years Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) $ Period Invested 2 years 5 years 3 years Future Value of Annuity 172,892.28 Present Value of Annuity
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 years
An annuity pays 2 at the end of each year for 18 years. for 9 Another annuity pays 2.5 at the end of each At an effective annual interest rate of i, 0 < i < 1, the present values of both annuities are equal. Calculate i. year years.
A perpetuity will pay $800 per year, starting five years after the perpetuity is purchased. What is the present value (PV) of this perpetuity on the date that it is purchased, given that the interest rate is 3%?
Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposit. M=$200 N=semiannually R=8% T=25
Consider two perpetuities (X and Y) at interest rate i. X provides level payments of $105 at the end of each year. Y provides a payment of $5 at the end of the first year, with payments increasing by $5 annually. Find i such that the present value of (X-Y) is a maximum. (Answer to the nearest .05%.)
For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Present Value Annuity Amount i = n = $3,000 75,000 20,000 80,518 1 2 3 4 5 242,980 161,214 500,000 250,000 8% 9% 10% 5 4 8 4
Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. Then determine how much of this value is from contributions and how much is from interest. R=16,000; 4.3% interest compounded quarterly for 11 years. The future value of the ordinary annuity is $__ (Round to the nearest cent as needed.) The amount from contributions is $__ and the amount from interest is $__. (Round to the nearest cent as needed.)
An annuity in perpetuity with effective annual interest rate i > 0 has present value $1, 000. Find i if the annuity pays $52.50 at the end of every 6 month period, with the first payment at the end of the first year.
Two annuities have equal present values and an applicable discount rate of 7 percent. One annuity pays RM2,500 on the first day of each year for 15 years. How much does the second annuity pay each year for 15 years if it pays at the end of each year? Select one: A. RM2,266.67 B. RM2,331.00 C. RM2,675.00 D. RM2,500.00