Certainly! Here is the transcription suitable for an educational website:---**Problem Statement:**2. At an effective annual interest rate $ i $, you are given:(a) The present value of an annuity-immediate with annual payments of 1 for $ n $ years is 40; and(b) The present value of an annuity-immediate with annual payments of 1 for $ 3n $ years is 70.Calculate the accumulated value of an annuity-immediate with annual payments of 1 for $ 2n $ years.**Solution:**[The solution should be included here when solved, explaining the steps for calculating the accumulated value of the annuity.]---This text is prepared for educational purposes to help students or learners understand the concept of present value and accumulated value of annuities under specified conditions.

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Answered: 2. (2 s) At an effective annual…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A perpetuity pays 1 at time t=2,2 at time t=3,..,n at time t=(n+1).After t=(n+1),the annual payments remain constant at n.The effective annual interest rate is 8.5%.The price of this perpetuity is £90.48.Calculate n.
Help me solve this one
Solve for activity no.6 numbers 1, 2 and 3
Q1: A sum of $2000 borrowed at 16% compounded daily for 2 years, state (c) The periodic rate of interest (i); (d) The number of compounding periods in the term (n); mention days (e) Find the future value of the loan at the end of 2 years Q5 A debt payment of $5,500 is due in 27 months. If money is worth 8.4% p.a. compounded quarterly, what is the equivalent payment (c) 27 months from now? (d) 36 months from now?
2. An annuity provides a payment of n at the end of each year for n years. What is the present value of the annuity if the annual effective rate of interest is 1/n?
James has an investment worth $175,609.50. The investment will make a special payment of X to James in 1 month from today and the investment also will make regular, fixed monthly payments of $1,440.00 to James forever. The expected return for the investment is 1.23 percent per month and the first regular, fixed monthly payment of $1,440.00 will be made to James in one month from today. What is X, the amount of the special payment that will be made to James in 1 month? An amount less than $58,600.00 or an anmount greater than $179,600.00 An amount equal to or greater than $58,600.00 but less than $88,950.00 An amount equal to or greater than $88,950.00 but less than $146,400.00 An amount equal to or greater than $146,400.00 but less than $176,000.00 O An amount equal to or greater than $176,000.00 but less than $179,600.00 Com SHEMA
'''Dianna received an amount of 67,000 as a gift from her parents during her 18th She would like to invest her money in the bank until she becomes 25. The bank offers two options for her money to earn interest: a) given a rate of 8% annually or b) given a rate of 2% compounded monthly. Solve both a and b, and justify which of the two is better.
Emma wants to donate $1,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j4=2.47% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (b) Assume that the fund's earnings rate rate has changed from j4=2.47% to j4=2.22% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)? a. 120871.62 b. 117931.61 c. 116810.57 d. 113655.15
Toni takes out a 30-year mortgage loan for $146,000. Her fixed annual interest rate is 4.3% compounded monthly. Which equation correctly calculates Toni's monthly mortgage payment? 146,000-0.043 М 12|1-(1+) -12-30 0.043 146,000-0.043 M 12/1-(1+ )"] 0.043 146,000-0.043 M = 12{1-()"] 0.043 146,000-0.043 M -12-30 0.043 12 1-
You are chairperson of the investment fund for the Continental Soccer League. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $210,000 after eight years at a 10 percent annual rate (16 payments). The first payment into the fund is to take place six months from today, and the last payment is to take place at the end of the eighth year. Use Appendix A and Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. Determine how much the semiannual payment should be. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Semi-annual payment On the day after the sixth payment is made (the beginning of the fourth year), the interest rate goes up to an annual rate of 12 percent. This new rate applies to the funds that have been accumulated as well as all future payments into the fund. Interest is to be compounded semiannually on all…
Determine the outstanding principal of the given mortgage. (Assume monthly interest payments and compounding periods.) HINT [See Example 7.] a $100,000, 25-year, 4.3% mortgage after 10 years Step 1 Note that this question asks us to find the outstanding principal, after the first 10 years, on a 25-year, $100,000 mortgage. The present value formula can be used to calculate the outstanding principal on a mortgage, but to use this formula, the monthly payment on the mortgage must be known. To calculate the monthly payment PMT on a mortgage valued at PV dollars for n periods at an interest rate of i per period, use the formula PMT = PV The given mortgage is $100,000, so PV = 100000 The 4.3% annual interest rate as a decimal is 0.043, so the monthly interest rate is i = 12 Step 2 With PV = 100,000, i = If the investment is for 25 years with monthly payments, then the number of pay periods is n = 25. 12 = 300 nearest cent. PMT = PV PMT = = 1 − (1 + i)¯″¸ 100000 0.043 and n = "I 12 544.54…
A company deposits 2000 at the beginning of the first year and 200 at the beginning of each subsequent year into perpetuity. In return the company receives payments at the end of each year forever. The first payment is 160. Each subsequent payment increases by 2%. Calculate the company's yield rate (i.e. the annual interest rate) for this transaction. Solution:

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