Peter will deposit R100 in the 1st year into a savings account. Beginning 2nd year his  deposit will increase by 10% per year. Assuming the rate of interest is 12% compounded annually, what will the present value of his deposits be if it grows at 10%  each year forever

Q: Ayesha wants to deposit 300 per year in a bank for the next 10 years. The bank pays annual interest…

A: Future value refers to the worth of the amount which is invested today at some future specified date…

Q: You make two annual payments of $2,000 each (the first payment is made one year from today) into a…

A: Number of annual payments (N) = 2 Payment = 2000 Interest rate = 10%

Q: To find the value of an annuity due, you will multiply the value of the ordinary annuity by…

A: Present value is the current worth of the future payments that are to be received. As per time value…

Q: Suppose you inherit a perpetuity that pays $4,000 each year. Assuming the first payment will occur…

A: The given rate is APR rate i.e. annual percentage rate. The APR is with daily compounding. The EAR…

Q: Arona would like to receive $15,820 each year for the next 5 years, starting today.  Then she hopes…

A: Since payment is due today or at the beginning of the year, this is annuity due problem.  For…

Q: You would like to have ​$   59,000 in   15 years.  To accumulate this​ amount, you plan to…

A: The concept of time value of money tells us that worth of money keeps on changing with passage of…

Q: If I deposit $1k a year into an account for 10 years @ 2%, what is the future value of that account?

A: As per the time value of money, a dollar is worth more today than the same dollar in the future.…

Q: Omar wants to buy a house in another 7 years. The type of house he wants to buy is currently selling…

A: Future value: Future value is $97,435.86

Q: You deposited $1000 in the bank today.  What will be in your account in 25 years assuming an…

A: Given Information: Present Value (PV) = $1000 number of period (n) = 25years. Interest Rate = 6%

Q: You invest 10.000 dolar in a bank account to buy a house at annual interest rate 14 per year,…

A: Given: Investment = 10,000 Interest rate = 14% Years = 10

Q: Delta Plc is considering investing in bespoke software solutions, which requires an initial…

A: ARR is the accounting rate of return and is the simple method of capital budgeting and does not…

Q: Determine the size of your investment account 30years from now (when you plan to retire) if you…

A: Future value of annuity , FV= P * ( (1+r)^t -1) /rwhere P =$12,000r=0.10t=30 yearsFV =?

Q: You are considering investing $1,000 in a bank term deposit for 6 years. The term deposit will pay…

A: Solution: An amount invested somewhere, earns interest on it.  The amount initially deposited is…

Q: A son will receive 3000 pesos at the beginning of each 3 months for 4 years. What is the sum of this…

A: The given problem relates to concept of annuity. An annuity is a series of uniform cash flows over a…

Q: Assume You plan to retire and start depositing $10,000 in your account at the end of every year for…

A: Present Value:  The present value is the value of cash flow stream or the fixed lump sum amount at…

Q: Write the present value function, letting x represent the number of years.

A: Time value of money: The time value of money is the idea that the value of money received today will…

Q: Jami Minard wants to receive an annuity of $8,000 at the beginning of each year for the next 10…

A: Annuity refers to a contract between an individual and an insurance company under which a desired…

Q: Assume that you are going to receive $468 yearly until the day of your retirement (15 years from…

A: The annuity is a series of cash flow wherein an equal amount is paid every period. The value at the…

Q: If you want to receive $1,000 each year for the next three years how much should you invest today?…

A: The objective of the question is to find out the present value of an annuity. An annuity is a series…

Q: Michael saves PHP 1,000 per month and increases by PHP 20 per month with the first deposit being…

A: Present Value in Annuity The amount of cash you would be required to deposit now in order to get a…

Q: What is your annual rate of return if you deposit $2,700 today and withdraw $3,500 in a lump sum in…

A: Rate of return refers to the increase or decrease in the value of an investment over a certain…

Q: Suppose that each week, you deposit $28 into a savings account whose annual rate is 1.6% with weekly…

A: Solution:- When an equal amount is deposited each period at end of period, it is called ordinary…

Q: what is the present value of this stipen

A: Present Value:  The present value is the present sum of a series of fixed payments. The series of…

Q: How much should Ester save today if he wishes to obtain n$ 629.00 in 5 years time? He expects to…

A: Future value = $ 629.00 Period = 5 Years Annual interest rate = 70%

Q: You will invest $200 per year. You will make your first deposit today. If the rate is 8.73%, how…

A: Annuity refers to a stream of fixed cash flows occurring in each period. For instance a cash flow of…

Q: I am investing $4100.00 in a bank account that pays 1.5% per year. If my interest is paid weekly,…

A: Present value, PV = $4,100 Interest rate = 1.5% per year Period = 15 yearsThe future value can be…

Q: Assume you are to receive a 5-year annuity with annual payments of £1,000. The first payment will be…

A: The Future Value of an Ordinary Annuity refers to the concept which gives out the compounded or…

Q: Joe would like to have $80,000 saved in 10 years. If he invests his money in an ordinary annuity…

A: Future value of annuity = P * [ (1+r)^n  - 1 ] /r  FV = $80,000 n = no. of compounding period 10*12…

Q: You know that you'll inherit $10,000 in 19 years. If you borrow $6,000 now and plan to pay it off…

A: Future value (F) = $10,000Initial borrowing amount (P) = $6,000Period (n) = 19 yearsAnnual interest…

Q: You expect to receive a payout from a trust fund in 3 years. The payout will be for $11,000. You…

A: Receipt in 3 years (I) = $11,000 Interest rate (r) = 0.065 Future value (FV) = $19,000 Period for…

Q: Avishek is saving up to buy a boat. He will make deposits of $787.50 at the end of every two weeks.…

A: The annuity payments that are made at the beginning of the year are called annuity due and the…

Q: If you deposit $500 at the end of each year for the next 5 years in a bank where it will earn 6%…

A: The amount that a present investment will gain in value over time when kept in a compound interest…

Q: You Save Bank has aunique account. If you deposit $9,000 today, the bank will pay you an annual…

A: FV = A*(1+r)nwhereFV = future valueA = amount investedr = interest raten =time period

Q: You would like to have $78,000 in 12 years. To accumulate this amount, you plan to deposit an equal…

A:

Q: You are going to receive a payment at the end of each year for the next 12 years. If you invest each…

A: The future Value of an investment is an estimation of receiving some amount after some period of…

Q: Cheryl is setting up a payout annuity with her bank. She wants to receive a payout of $1200 per…

A: Using excel PV function

Q: You expect to receive a one-time payment of $1,000 in 10 years and a second payment of $1,500 in 15…

A: Here, One-time payment = $1,000 in 10 years Second payment = $1,500 in 15 years Annual interest rate…

Effective Interest Rate

The term interest rate can be defined as the amount that is charged by the lender as a percentage on the principal amount. Interest rate which is charged annually is known as annual percentage rate.