I want help understanding the concepts, Thank you 1) You are loaned $100,000 and can pay this off one of two ways:a) By 10 constant payments of K at the end of each year, where here the effective annual interestrate for the loan is 6%.b) By making interest payments at the end of each year and paying off the principle at the end of10 years by making constant payments into a sinking fund earning an effective annual interest rateof 7%. Here the effective annual interest rate for the loan is JL.Find JL so that the yearly payments for both options are the same.

Step 1: Step 2: Step 3: Step 4:

Answered: 1) You are loaned $100,000 and can pay…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,600 is set aside each year and invested in a savings account that pays 8% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 23 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 32. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change?
Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7% interest rate, the present value of the loan is $. (Round your response to the neareast two decimal place)
Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7%interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)
Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,200 is set aside each year and invested in a savings account that pays 20% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 24 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 24. The annuity will extend from the EOY 25 to the EOY 34. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? Click the icon to view the interest and annuity table for continuous compounding when /-20% per year. CODE a. The accumulated savings amount at the end of 24 years will be $ (Round to the nearest dollar.)
A cash flow at time zero (now) of $7,386 is equivalent to another cash flow that is an EOY annuity of $2,100 over five years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? Assume that the cash flow at the end of year one is zero. Choose the correct answer below. A. $1,050 B. $702 OC. $949 OD. $1,195 OE. Not enough information given.
When computed using an effective interest rate of i, it is known that the present value of $2,000 at the end of each year for 2n years plus an additional $1,000 at the end of each of the first n years is $52,800. Using this same interest rate, the present value of an n year deferred annuity-immediate paying $4,000 per year for n years is $27,400. Find n. [HINT: First find an|i and a2n|i then νn and i.]
8. Consider the cash flow transactions depicted in the accompanying cash flow diagram, with the changing interest rates specified. (a) What is the equivalent present worth? (In other words, how much do you have to deposit now so that you can withdraw $300 at the end of year 1, $300 at the end of year 2, $500 at the end of year 3, and $500 at the end of year 4?) (b) What is the single effective annual interest rate over four years? $300 $300 2 Years 9% 6% Interest Interest P compounded compounded $500 $500 6% Interest compounded
5. You receive payments of $10,000 per year from a family trust, but you don't need that money right now. Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 10 years? C= 10,000 r = 0.02 t = 10 (1 = i)^n FV = C =? Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 5 years?
1. You have choice when subscribing to our magazine for four years: you can a)pay $100 now for a four year subscription, b)pay $28 at the beginning of each year for four years, or c)pay $54 today and $54 again two years from today. Which is the best deal for you, the subscriber, if the interest is 10% yearly? 2. Consider a principal amount of $1,000 to be invested for three years at a nominal rate of 12% compounded semi annually. What would be the effective annual interest rate for one year?
1. Jessica buys a television set from a merchant who asks P14,000.00 at the end of 80 days. She wishes to pay the merchant immediately and the money assumed 10% of simple interest. What is the cash price today? Draw the cash flow diagram. 2.How long does it takes a principal of P25,000 at a simple interest rate of 5% per year to become P30,000? Draw the cash flow diagram. 3. Determine the ordinary and exact simple interest on $5,000 for the period from January 15 to June 20,2015 if the rate of simple interest is 14% 4. 13. What payment X 10 years from now is equivalent to a payment of P500,000 7 years from now, if interest rate is 12% compounded semi-annually? 5. A factory operator bought a diesel generator set for P10,000 and agreed to pay the dealer uniform sum at the end of each year for five years at 8% compounded annually, that the payment will cancel the debt and principal interest. What is the annual payment?
1. Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year. 2. Find the maturity value of a loan of $49,583 after 18 months. The loan carries a simple interest rate of 8.3% per year. 3. Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30. (Table 11-1) 4. Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31. (Table 11-1)
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

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