You wish to invest $30,000 today in order to save $60,000 for a deposit to buy a house in several years’ time. How many years must you invest in order to have a future value of $60,000 if the interest rate is 12%?

You wish to invest $30,000 today in order to save $60,000 for a deposit to buy a house in several years’ time. How many years must you invest in order to have a future value of $60,000 if the interest rate is 12%?

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....

See similar textbooks

Related questions

Q: How much would you have to invest when you are 20 years old at 9% compounded monthly to end up with…

A: A theory that helps to compute the present or future value of the cash flows is term as the TVM…

Q: John has an investment opportunity that promises to pay him $16,000 in four years. He could earn a…

A: Formula used to calculate present value.

Q: account

A: Introduction: Investments are made by depositing a certain sum of money in the account. At the end…

Q: what will your retirement investment be worth 34 years from now ? Using financial calculator

A: Future value i.e. FV of an annuity due shows the worth of total amount of regular payments made at…

Q: You borrow $100,000 to buy a house; if the annual interest rate is 6% and the term of the loan is 20…

A: Present Value of annuity = P * {1-[1/(1+r)^n]/r} Where, r = rate of interest i.e. 6% n = no. of…

Q: You are considering buying a condo as an investment property. The condo will generate $20,000 a year…

A: Maximum you should pay for the property is the present value of future cashflows

Q: How much will you have after 5 years? How much will you have after 5 years if you make the deposits…

A: Each year Deposit RM 2500 Interest Rate 4%

Q: You are planning to save for retirement over the next 30 years. To do this, you will invest $700 a…

A: Using excel PMT & FV Function

Q: You are planning to invest $1,000 in an account earning 12% per year for retirement. a. If you put…

A: Amount to be invested = $1000 Interest rate = 12%

Q: Your father is about to retire, and he wants to buy an annuity that will provide him with $85,000 of…

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

Q: Assume that you are saving up for a trip around the world when you graduate in two years. If you can…

Q: Based on the number of years until your retirement, calculate the monthly savings required to build…

A: You are 32 years old and considering the retirement age of 60 years the no. of years left till…

Q: sume that you plan to buy a condo 5 years from now and you need to save for a down payment. You plan…

A: solution given Annual deposit 2500 Interest rate 4% Number of years 5 years…

Q: Say you want to invest a certain amount of your salary each year. This year you take $2,500 out of…

A: The value of current payment or upcoming flow of payments at any future date when flow of payment…

Q: Assume you currently have $220,000 that you are ready to invest for retirement. In addition, you…

A: Compounding is a technique which is used to find the FV of present amount by using appropriate…

Q: How much should you invest each month in order to have $700,000 if your rate of return is 6.9%…

A: Periodic Amount that need to be invested is calculated using the formula future value of annuity.…

Q: You are looking to purchase a house for $196,000. If you put 20% down and finance the rest, what…

A: Monthly payments are fixed periodic payments that are made by borrower to the lender.

Q: You would like to provide your investors with a stable income in perpetuity. How much would you need…

A: Given, Annual interest rate is 8.1%. Number of years 20

Q: After 10 years, the estimated price of an apartment of 20 pyeong is 200 million won. If you save a…

A: PRESENT VALUE = FUTURE VALUE / PVAF(10%, 10 YEARS) = 200/ 6.1446 = 32.55 Million Postion of…

Q: You want to retire soon. When you finally retire, you want your investments to provide you with an…

A: Retirement needs: 150,00 means 15,000 15,000 each year for next 40 years N = 40 Annual Interest…

Q: You are trying to decide how much to save for retirement. Assume you plan to save $4,500 per year…

A: a. Use the Excel FV function with the following inputs to determine the value of investment on the…

Q: Liz plans to deposit $10,000 in the bank now and another $5,000 two years from now. If she plans to…

A: Before making any calculation let us first arrange these cashflows into a cashflow time line chart.…

Q: you have a chance to buy an annuity that pays $1,000 at the end of each year for 5 years. You could…

A: The most we should pay for the annuity is nothing but the present value of annuity. Therefore, In…

Q: Your client wants to retire in 20 years. He has nothing saved. He wants to know the monthly savings…

A: Using excel PMT function

Q: A client wants to retire in 20 years and expects to enjoy retirement for at least 25 years. They…

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

Q: You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: what annual rate of return would your investment account need to generate if you make no future…

A: The annual rate of return: It is the sum of money earned over a period of 12 months period on…

Q: If you invest £150 at 4% for 11 years how much money would you have at the end of the investment…

A: Future Value of ordinary annuity=Annuity×1+ratetime-1rate Present Value Annuity…

Q: In wisely planning for your retirement, you invest $27,000 per year for 20 years into a 401K…

Q: How much should you invest each month in order to have $400,000 if your rate of return is 6.5%…

A: Future value of investment is 400,000. The rate of interest is 6.5%

Q: An investor paid $58,000 for an investment. He will get $5,780 for every two years forever). What is…

A: INVESTMENT RETURNS

Q: Assume you can earn 8.6% per year on your investments. a. If you invest $110,000 for retirement at…

A: Retirement savings is an important part for all the employees and for saving funds for retirement,…

Q: In planning for your retirement, you have decided that you would like to be able to withdraw $60,000…

A: When a payment is done repeatedly for a specific period of time it is referred to as Annuity.…

Q: A man can sell his business for $800,000 cash or for $125,000 plus $12'I a. Find the present value…

A: A study that proves that the future worth of the money is lower than its current value due to…

Q: save

A: Introduction: The amount to be deposited every year is nothing but the present value which is…

Q: How much should you invest each month in order to have $300,000 if your rate of return is 7.1%…

A: A theory that helps to compute the present or future value of the cash flows is term as the TVM…

Q: You want to invest $27,000 today to accumulate $30,390 to buy a car. If you can invest at an…

Q: Suppose you invest in an annuity that pays 5% interest, compounded semiannually. How much will you…

A: Formula used as follows: S=R1+in-1iS=Future valuei=Interest rate per periodn=Number of…

Q: Ken Francis is offered the possibility of investing $2,745 today; in return, he would receive…

A: Interest rate: It can be defined as the percent of the principal loan balance, charged by the lender…

Q: If you invest $10,000 at 8.125% interest compounded daily, how long will it take for you to…

A: Present value =$10,000 Future value = $15,000 Interest rate = 8.125% compounded daily So, daily…

Q: How much should you invest each month in order to have $800,000 if your rate of return is 3.6%…

A: future value=A×1+rmm×n-1rm A=annuity r=rate of interest m=frequency of compounding n-number of years

Q: You want to invest 8000$ at an annual interest rate of 8% that compounds annually for 12 years.…

A: The future value of money concept is a fundamental concept of financial management. The future value…

Q: You are planning to invest $2,000 in an account earning 10% per year for retirement. If you put the…

A: Return refers to the money made or lost on a investment after a period of time.

Q: You expect to receive $ 10,000 at graduation in two years. You plan on investing it at 12% until you…

A: Given information: Present Value of amount=$10,000 Future Value you expect to receive=$120,000 Rate…

Q: You want to invest $10,000 today to accumulate $16,000 for graduate school. If you can invest at an…

A: Future Value = P*(1+r)^n Where, P = Principal r = rate of interest n = no. of year

Q: You plan to buy an apartment for $300,000, but you have only $8,000 in cash. The bank will loan you…

A: Time value of money is considered to determine the equated instalments that are due for each period.

Q: How much should you invest each month in order to have $500,000 if your rate of return is 3.9%…

A: Here we will use the concept of time value of money. As per this concept worth of money changes with…

Q: You are planning on retiring for retirement 34 years from now. You plan to invest $4,200 per year…

A: Future value of annuity (FVA) is the value of stream of recurring cashflow at regular interval…

Concept explainers

Types of Insurance Contract

Insurance is a contract wherein an individual or entity gets financial protection from the insurance company for any damages or losses incurred. The individual or entity is called the insured, whereas the insurance company is called the insurer. The insured and the insurer enter a legal contract for a fixed term called the insurance term, and the contract is called an insurance policy.

Question

You wish to invest $30,000 today in order to save $60,000 for a deposit to buy a house in several years’ time.

How many years must you invest in order to have a future value of $60,000 if the interest rate is 12%?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: INTRODUCTION

VIEW

Step 2: SOLUTION

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
You want to retire soon. When you finally retire, you want your investments to provide you with an income of $150,00 each year for the next 40 years. If the annual interest rate guaranteed to be 6 percent or higher, what is the present value of that stream of payments (or how much of a deposit do you need in order to get that payment amount per year)?
Suppose you want to save up $100,000 to buy a house in 10 years. You plan to invest a lump sum amount of $50,000 today in a savings account that pays an annual interest rate of 6%. How long will your investment take to grow to $100,000? Will you be able to buy your desired house with the current investment after 10 years?
You know that you'll inherit $10,000 in 19 years. If you borrow $6,000 now and plan to pay it off with the money you'll inherit, what is the highest annual interest rate you can afford on the loan?
in planning for your retirement, you would like to withdraw $80,000 per year for 17 years, the first withdrawal will occur 20 years from today. A- what amount must you invest today if your return is 10% per year? B-What amount must you invest today if your return is 15% per year?
In planning for your retirement, you have decided that you would like to be able to withdraw $60,000 per year for a 10 year period. The first withdrawal will occur 20 years from today. a. What amount must you invest today if your return is 10% per year? b. What amount must you invest today if your return is 15% per year?
Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%. What should be the present value of this annuity? If you are given the first payment immediately starting today, what should be the worth of this annuity? Which payment mode will you accept? What will be basis of your decision under time value of money concept?
Answer followings (a) Suppose you wish to borrow $60,000 at an annually compounded interest rate of 16% for a period of 14 years. What would be the annual repayment? (b) You wish to invest $30,000 today in order to save $60,000 for a deposit to buy a house in several years’ time.How many years must you invest in order to have a future value of $60,000 if the interest rate is 12%? (c) What is the effective annual rate of a savings account with an annual interest rate of 5.9% compounded quarterly?
You have an investment opportunity that promises to pay you $18, 499 in four years. Suppose the opportunity requires you to invest $15,813 today. What is the interest rate you would earn on this investment?
An investment opportunity requires that you deposit $1000 a year for 5 years. At the end of this time you will receive $500 a year for 10 years. Is this a good deal if the interest rate available on other deposits is 5%?