Problem #1: Gwen just bought solar panels to power ventilation at her chicken farm. The panels cost $2000 and will reduce her electricity bills by $40 per month. How long will it take her to recoup her investment in the panels if she can warn 12% interest, compounded monthly, on her money? (Hint: You can use either the Capital Recovery Factor formula or the Series Present Worth Factor formula, or you can use linear interpolation!)
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- ( Solve the following problems. Draw the cash flow diagram for each problem and use the interest rate with five decimal places. Box your final answer and upload the picture of your complete solution. ) 1. An electronic device is available that will reduce this year’s labor cost by$10,000.The equipment is expected to last for eight years. If labor cost increase at an average rate of 7% per year at interest rate is 12% compounded bimonthly a. What is the maximum amount that we could justify spending for the device?b. What is the uniform annual equivalent value (A) of labor costs over the eight year period?(3) Suppose we invested $20,000 at an annual rate of 5% where interest is compounded continuously. (a) Write down an IVP that describes the amount of money y(t) that you will have in your account after t years. Then, solve the IVP and compute how much money you expect to have in your account after 10 years. (b) Now suppose you want to have $100,000 in your account after those 10 years. In order to accomplish that, you will make yearly deposits of D dollars. Find D, so that y(10) = $100,000. Note that we still have y(0) = $20,000.5. 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. 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?An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…To make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $16,000 at 10.00% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? (Round the final answer to three decimal places.) The compound interest rate that would yield the same amount of money in 3 years is % per year.
- 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?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 10% 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 33. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? The accumulated savings amount at the end of 23 years will be $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.)
- 1. An entrepreneur needs thousand of dollars to launch the global expansion of his software business. I have agreed to lend him the money today (n=0) at an interest rate of 8% compounded quarterly. I required that the loan be repaid in eight annual payments starting at Year 4 with a $20K payment. Subsequent payments will decrease by $1K each year thereafter. (1) What is the present value of the money being borrowed? (2) Convert your Present Value to Annual Payment.Mr. Smith is planning his retirement. He has decided that he needs to withdraw $12000 per year from his bank account to supplement his other income from Social Security and a private pension plan. How much money should he plan to have in the bank at the start of his retirement, if the bank pays 10% per year, compounded annually, and if he wants money to last for a 12-year retirement period?A person needs $17122 immediately as a down payment on a new home. Suppose that she can borrow this money from her company credit union. She will be required to repay the loan in equal payments made every six months over the next 20 years starting on the second year. The annual interest rate being charged is 10% compounded continuously. What is the amount of each payment? INCLUDE THE CASH FLOW DIAGRAM OF THIS PROBLEM AND ROUND OFF INTEREST RATE TO 5 DECIMAL PLACES AND YOUR FINAL ANSWER TO 2 DECIMAL PLACES.