0 in 12 years. Your hotel wants to start investing today in an a
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Assume that your hotel wants to have $1,000,000 in 12 years.
Your hotel wants to start investing today in an account that pays compound interest, but does not know how much it needs to invest.
Determine the amount of money your hotel needs to invest today at a quarterly rate of interest of 1% ($).
Step by step
Solved in 4 steps
- 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?1. You deposit GHS10,000 today into an account paying 6% annual interest and leave it on deposit for exactly eight years. Required: How much will be the amount in the account at the end of eight years if interest is compounded annually? 2. Imagine you are a professional personal finance planner. One of your clients ask you the following question. Use time value of money technique to develop appropriate responses in each question. I borrowed GHS75,000, am required to repay it in six equal (annual) end of year instalments of GHS3,344 and want to know what interest rate I am paying.Use Excel to answer the following questions. 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? 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%? 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? 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?
- Assume that you plan to buy a condo 5 years from now, and you need to save for adown payment. You plan to save $2,500 per year (with the first deposit made immediately),and you will deposit the funds in a bank account that pays 4% interest. Howmuch will you have after 5 years? How much will you have if you make the depositsat the end of each year? ($14,082.44, $13,540.81)Suppose you want to withdraw $20,000 at the end of year 3 and another $20,000 at the end of year 5. The account's interest rate is 5% compounded annually. A How much should you deposit now? B) Suppose you realize you can only deposit $10,000 today, but you expect to have more funds available in 1 year. How much must you deposit into the account at the end of year 1 so that you can still make the necessary withdrawals at the end of years 3 and 5?Assume you borrow $200,000 from a bank today to buy a house at 4% interest for 30 years with monthly payments. How much will the monthly payment be? How much interest will you pay over the course of the loan? How much equity do you have in the house after 6 years? What will the loan balance be at the end of year 20? How much interest paid during year 5?
- You want to invest $18,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 6% that is compounded semiannually. What is the effective rate of return that you will earn from this investment?Suppose you have estimated that you will need $2,500 per month in your retirement to meet your expenses and live comfortably, and that you have found or chosen a fund (account) which pays monthly interest 4% APR . What principal, or balance, will your account need to maintain in order to be able to pay you this amount each month? Round/take your answer to the nearest cent.You just opened a brokerage account, depositing $4,000. You expect the account to earn an interest rate of 10.2%. You also plan on depositing $1,500 at the end of years 5 through 10. What will be the value of the account at the end of 20 years, assuming you earn your expected rate of return?
- You just opened a brokerage account, depositing $4,500. You expect the account to earn an interest rate of 8.57 % . You also plan on depositing $3,000 at thenend of years 5 through 10. What will be the value of the account at the end of 20 years, assuming you earn your expected rate of return?Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…You want to invest $1150 in an account and plan to leave it there for 11 years. There are three options for investing your money. • Account A pays 14.1% interest per year, compounded annually. • Account B pays 13.3% interest per year, compounded monthly. • Account C pays 13% interest per year, compounded daily. a. For each account, determine the value of your investment after 11 years. i. Account A: $ Preview ii. Account B: $ Preview iii. Account C: $ Preview