Q2: Find out the capitalized cost of a certain investment based on the following: [4 marks] 1. An initial deposit of $100,000 2. Recurring payments of $10,000 each 6 years starting by the end of the first year for infinity. 3. Annual uniform payments of $2,000 starting by the end of year 10 for infinity. Use Interest rate = 6%
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- 4:09 Assignment 2-2022.pdf 4. Construct a cash flow diagram to find the present worth in year 0 at an interest rate of 12% per year for the following situation. Year Cash Flow, $ 0 5. Construct a cash flow diagram that represents the amount of money that will be accumulated in 20 years from an investment of $30,000 now at an interest rate of 10% per year. 6. for the cash flow diagram shown, what are the present and the future worth in year 4? i = 7%/semiannual period 1 2 470 3 420 2 4 370 0 1-5 5 320 6 3 270 7 Y 220 4 -15,000 +8,500 8 200 :!!! 5G Years Semiannual periods 7. Construct the cash flow diagram for A mechanical device will cost $20,000 when purchased. Maintenance will cost $1000 per year. The device will generate revenues of $5000 per year for 5 years. The salvage value is $7000. 8. Each year Exxon-Mobil expends large amounts of funds for mechanical safety features throughout its worldwide operations. Carla Ramos, a lead engineer for Mexico and Central American operations,…1. What is the Single Payment Compound Amount factor for an interest rate of 2% over 10 years? 2. What is the Uniform Gradient Future Worth factor for an interest rate of 10% over 10 years? 3. What is the Uniform Series Present Worth factor for an interest rate of 5.5% over 20 years? 4. A bank pays 3% interest per year (compounded annually). a. To what amount will a $5,000 deposit grow if left in the bank for 10 years? b. Draw the Cash Flow Diagram for this problem.2. 3. You borrow $80,000 at 5.00% per year and will pay off the loan in equal payments starting one year after the loan is made over a period of ten years. What are the annual end-of-year payments? Determine the amount of interest and principal that are paid each year. What is the total interest paid for the loan? A distillation column is designed, purchased and installed for a cost of $? 6 million Tha
- Investments Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $190 interest in I year, at what rate is the $1000 invested?2. How long will an investment double itself if interest is earned at a compounded rate of: a. 3% per quarter? b. 0.25% per week (assumption: 1 year = 52 weeks)?2. Calculate the compound interest for a Php 100,000 investment under the following conditions: Interest rate: 5%, Investment Period: 5 years, Compounding: Monthly
- 1. You needed $10,000 and obtained the following loan: Loan specifics: You are expected to pay 24 equal monthly installments (SA per month) at APR 12%, compounded monthly, starting from a month from obtaining the loan. If you miss a payment, your APR goes up to 24%, duration of the loan does not change but your monthly fixed payments go up. You miss your 12th payment. On the day of your 13th payment, the bank offers you a new deal. If you pay an additional $820 at the time of your 13th payment, you will continue to make your payments as before with no interest hike. a) Would you prefer to make the additional payment or have the interest hike?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,…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?
- ! Show Full Solution ! *using DEFERRED ANNUITY FORMULAS ONLY *use given data below Question: Today you invest P100,00 into a fund that pays 25% interest compounded annually. Three years later you borrow P50,000 from a bank at 20% annual interest and invest in the fund. Two years later you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you taking P20,000 per year out of the fund. After five withdrawals you withdrawn the balance in the fund. How much was withdrawn?Suppose you purchased a corporate bond with a 10-year maturity. a $1,000par value, a 10% coupon rate, and semiannual interest payments. What all this means that you receive $50 interest payment at the end of each six-month period for 10 years (20 times). Then, when the bond matures, you will receive the principal amount (the face value) in a lump sum. Three years after the bonds were purchased, the going rate of interest (coupon rate) on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (3 years after the purchase)?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?