You made a deposit of $200 in your bank account today and you plan to make a further deposit of $20 per month for three months starting from three months' time. Starting from six months from today, you plan to withdraw $30 per month for the next three months. At the end of the year how much money do you have in your bank account assuming that the bank gives you an interest rate of 3% per month. Draw the cash flow diagram. (Hint: An interest rate of 3% per month means an interest rate of 3% per month compounded monthly.)

You made a deposit of $200 in your bank account today and you plan to make a further deposit of $20 per month for three months starting from three months' time. Starting from six months from today, you plan to withdraw $30 per month for the next three months. At the end of the year how much money do you have in your bank account assuming that the bank gives you an interest rate of 3% per month. Draw the cash flow diagram. (Hint: An interest rate of 3% per month means an interest rate of 3% per month compounded monthly.)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose you deposit m dollars the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month. 1. Explain why A₁ = m dollars. 2. Explain why A₂ = m+m(1+r) dollars. 3. Write down explicit expressions for A3 and A4. This is the crucial step. 4. Explain why An = m+m(1 + r) + m(1 + r)² + ... +m(1 + r)"−¹ dollars. 5. Use the formula for a geometric sum to show that An = m (1 + r)” − 1 r dollars. 6. If your account has a monthly interest rate r = 0.002 and you deposit $200 monthly for 5 years, how much money will you have in your account after the 5 years? (Hint: How many months?)
4) Find the account balance at the end of 10 years, if you deposit 15,000 in an account today if a. The bank pays interest at 12% per year. b. The bank pays interest at 6% every 6 months. c. The bank pays interest at 3% per quarter, d. The bank pays interest at 1% per month. What do you observe when you compare the balances for the four scenarios listed.
Assume that you have $10,000,000 in your bank account. You wish to withdraw $400,000 per year, at the end of each year, for the next 5 years, after which you wish to have $11,000,000 in the bank. What is the balance in your account after the 2nd year (after the withdrawal)? Hint: you will need first to solve for rate in Excel given all other parameters. Watch signs. Select one: a. $10,366,644 b. $10,600,000 c. $9,600,000 d. $10,488,912
You have just opened a savings account which pays monthly interest at a rate of j12 = 5.5% p.a. You wish to accumulate $20,000 by depositing the same amount into the account at the end of each month, for 2 years, starting in a month's time. a) Determine the required size for the monthly deposit, R. Apply a sanity check. b) Construct a sinking fund table showing 24 deposits with a fixed interest rate of 5.5%. Describe and apply a sanity check to your table. c) Suppose that the interest rate is renewed every three months (quarterly) over the course of the two years as follows: Year 1 Q1 5.5% 02 Q3 2.8% 4.5% 04 01 4.0% 4.2% Year 2 Q2 04 03 3.8% 2.5% 7.5% If you maintain the same monthly deposit of R determined in part a), find the size of your sinking balance after two years. Will you meet your target of $20,000? Describe and apply a sanity check for your answer. d) Construct a sinking fund table showing 24 deposits with the variable interest rate. Describe and apply a sanity check to…
Which do you prefer: a bank account that pays 10% per year (EAR) for 3 years or a. An account that pays 5.0% every 6 months for 3 years? b. An account that pays 15.0% every 18 months for 3 years? c. An account that pays 1.0% per month for 3 years? a. An account that pays 5.0% every 6 months for 3 years? If you deposit $1 into a bank account that pays 10% per year for 3 years, the amount you will receive after 3 years is $ If you deposit $1 into a bank account that pays 5.0% every 6 months for 3 years, the amount you will receive after 3 years is $ (Select from the drop-down menu.) (Round to five decimal places.) Therefore, you will prefer b. An account that pays 15.0% every 18 months for 3 years? If you deposit $1 into a bank account that pays 15.0% every 18 months for 3 years, the amount you will receive after 3 years is $ Therefore, you will prefer (Select from the drop-down menu.) c. An account that pays 1.0% per month for 3 years? If you deposit $1 into a bank account that pays…
If you deposit some money into a bank account today, to the nearest year, how long will it take to triple your deposit if it earns 32% annually? note: calculate to the nearest decimal. For example, if the answer is 12.56 years, then input your answer as 12.6
Suppose you deposit $3600 to open an account that earns 6% interest compounded monthly. You are trying to save money and find that you are able to put away an additional $50 each month. Write a recursive formula to show the amount of money you will have in the account at the end of each month.
You wish to deposit $500 dollars per year. The first deposit will be on April 1, 2017, and your last deposit will be on April 1, 2026. How much will be in the account on April 1, 2050 if the bank pays 4% annually?

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