7. All of the following problems involve interest that is being compounded continuously. (a) Compute the interest rate needed to double an investment every seven years. (b) With a 10% interest, how long will it take to triple an initial investment. (c) Irvin forgot what is the interest rate at his bank. All he knows is that after five years, his initial investment doubled. When will it triple? (Hint: There are two unknowns; one is the interest rate. Whenever there are two unknowns, two equations are needed. So, use the information about money at different times in an appropriate manner.)

7. All of the following problems involve interest that is being compounded continuously. (a) Compute the interest rate needed to double an investment every seven years. (b) With a 10% interest, how long will it take to triple an initial investment. (c) Irvin forgot what is the interest rate at his bank. All he knows is that after five years, his initial investment doubled. When will it triple? (Hint: There are two unknowns; one is the interest rate. Whenever there are two unknowns, two equations are needed. So, use the information about money at different times in an appropriate manner.)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1. Suppose that you invest $100. At 3% interest, how long does it take to double your money? To quadruple it?2. Suppose that Anna's college education would cost around $500,000 when they enter college in 15 years. At present, She have $100,000 to invest.What annual interest must she earn on her investment to cover the cost
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %
K Suppose Capital One is advertising a 60-month, 5.29% APR motorcycle loan. If you need to borrow $7,400 to purchase your dream Harley-Davidson, what will be your monthly payment? (Note: Be careful not to round any intermediate steps less than six decimal places.) Your monthly payment will be $ 139.51. (Round to the nearest cent.)
Give typing answer with explanation and conclusion Gustav Co. is planning to issue new 30-year bonds. The current plan is to make the bonds non-callable, but this may be changed. If the bonds are made callable after 5 years at a 5% call premium, how would this affect their required rate of return? Question 6 options: There is no reason to expect a change in the required rate of return. The required rate of return would increase because the bond would then be?
Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.
A state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $
2. My son's YouTube channel (ILYAD) is making around $1000 per year at the moment (assume payments at the end of each year). How much will he have in his RESP account 12 years from now if he keeps collecting money from YouTube? Let's assume his revenue remains the same for the next 4 years (starting today) then the revenue increases to $1500 per year, from year 4 to 8, and then it increases to $2000 per year for the remaining years. Consider 5% annual interest rate for this problem
1. How much is the total value of all these presents worth today?2. How much is the future value of all these presents at the end of 12 years?3. If Tita Rhea agrees to give her these amounts annually forever, how much is its total value worth today?4. If the presents are each made continuously throughout the year at a rate of P, multiply the present value in #7 by a suitable adjustment factor (d/δ) to determine its total present value. Type the resulting amount below.
Suppose that you are considering an investment, which would require you to pay $1,000 up front (today), and you would receive a payment of $100 per year, for 5 years, beginning one year from now. One year after your fifth payment, you would then have $800 paid to you as a final payment. Assume that the interest rate is equal to 5%. Round all answers to two decimal places. 5. Calculate the Present Value (PV) of the cost and each of the payments for the investment. Does this investment have a positive or negative present value? Should you make this investment? 6. How much would the initial cost ($1,000) need to change for you to be exactly indifferent about this investment? (i.e. you receive the same return for making this investment as you do for not making this investment?)
14. When you complete your MBA, you will treat yourself to a new car. The car you want to buy costs $25,000 and you have enough to put 20% down in cash. You can take out a loan for the rest of the cost of the car. Calculate your monthly car payments assuming the auto finance department states that the annual interest rate on the car loan is 8% and you pay the loan over a 3-year period.
Answer the following as indicated. (Format: problem, then, solution) 1. Brian borrowed from his friend, Mark, P9,000. He repaid the P9,600 after 15 months. What was the simple interest rate?
What is the rate of return when 12 shares of Stock A, purchased for $22/share, are sold for $465? The commission on the sale is $9. 4 F4 Copyright © 2003-2022 International Academy of Science. All Rights Reserved. F5 Rate of Return Enter the appropriate value into the formula to calculate the rate of return. A F6 5 RTY 6 & Total Cost = $273 Profit= $192 [?] Rate of Return = F7 7 * = F8 8 profit or loss total cost DELL F9 9. prtsc F10 home F11 Enter end F12 +11. Insert