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- Across: 2. payment interval is diffent from compounding period 4. Sequence oof payment made at equal interval of time 5. payment interval is = to compounding period 3 5 7. payments are made at the end of each payment intrval 1 8. Time from start of first payment to the last payment 2 Down: 7 6 1. amount of money required in the beginning. annuity whose 1st payment will sat some future date 6. sum of the accumulated values of the periodic paymen 81. A bank charges 1.5% per month on a loan. Find the equivalent nominal rate of interest. 2. A financing company charges 1.5% per month on a loan. Find the equiv alent effective rate of interest. 3. A nominal rate of 12% compounded monthly is equal to an effective rate of interest. 4. Convert 16% compounded semi-annually to equivalent nominal rate which is compounded daily.a. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded quarterly? b. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded monthly? c. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded daily? d. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded continuously? e. At what compounding period does the effective annual interest rate very closely approximate continuous compounding? (Consider to the nearest 0.0001)
- 1. Mary buys a 20 year annuity immediate for $100,000 subject to 6% effective annual interest rate. The first payment is one year from the time of purchase. Mary reinvests each of the 20 payments, as soon as she received them at the end of each year, into a fund that earns 8% interest on deposits. What is the accumulated amount in Mary's fund right after the 20th annuity payment has been deposited into the fund?Ordinary annuity payment. Fill in the missing annuity in the following table for an ordinary annuity stream: Number of Payments or Years 6 21 33 15 Annual Interest Rate 9% 4% 6% 10% Future Value $0.00 $24,000.00 $0.00 $98,433.34 Annuity (Round to the nearest cent.) $ (Round to the nearest cent.) $(Round to the nearest cent.) (Round to the nearest cent.) Present Value $24,000.00 $0.00 $150,000.00 $0.001. Accumulate P 3,000 for 9 years at 6 percent interest compounded quarterly. How much is the compound interest earned? 2. Determine the nominal rate which if converted quarterly could be used instead of 12 percent compounded monthly. What is the corresponding effective rate?
- 6) Two annuities in perpetuity have the same effective annual interest rate. The first annuity pays $40 every 5 years, starting at the end of the 10th year and has present value $100. The second annuity pays $20 at the end of each 3 months, starting at the beginning of the first three months. Find the present value of the second annuity.8. An effective rate of interest, which is 12.75%, is equivalent to what percent if compounded continuously.Suppose you deposited $200 at the end of every year for seven years in an account that earned 6% annual effevtive interest. At the end of seven years, how much would the account be worth?
- QUESTION 1 Muhammad takes out a loan of $ 2,130, at 8% simple interest, for 8 years. How much will he pay back at the end of year 8? QUESTION 2 Calculate the amount of interest on an investment of AED 103,971 at 8% simple interest for 5 years. QUESTION 3 If you deposit today $7,335 in an account for 6 years and at the end accumulate $10,885, how much compound interest rate (rate of return) you earned on this investment ? QUESTION 4 You will deposit 12,025 at 10% simple interest rate for 9 years, and then move the amount you would receive to an investment account at 12 % compound rate for another 3 years. How much money would you have at the end of the entire period ?4. How long will it take money to quadruple if it earns 7% compounded semi-annually?Defined as the accrual or the exact rate of interest earned on the principal during 1year period. Effective Rate В Interest Rate Compound Rate D) Nominal Rate