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Please answer all the questions (1 to 10) 1. How long will it take for money to triple if the annual effective interest rate is

image text in transcribedPlease answer all the questions (1 to 10)

1. How long will it take for money to triple if the annual effective interest rate is 10.43% per year compounded continuously? ANS. /L.07 2. The effective interest rate is 12.78% for 18 months. If interest is compounded continuously what is the effective annual rate? ANS. 8.3 46 % 3. Deposits of $150 are made at the beginning of every other year for the next 8 years. The first deposit is made today. How much will be in the account at the end of 16 years. Interest is 10% per year compounded annually. ANS. 144023 4. A $900 investment today will result in payments of $231 at the end of every 5th year for the next 30 years, beginning five years from now. What is the effective annual interest rate if interest is compounded annually? ANS._2, 64 % 5. The ZZX Company collected $700,000 in revenues last year. Cash operating expenses were $280,000. There was no interest on debt. The tax rate is 30%. Net income was $100,000. Calculate the depreciation expense. ANS. 117, 142 6. You borrowed $22,000 to buy a car. The interest rate is 9.5% (nominal) per year, compounded monthly, and the loan is for 48 months. After the first year (12 payments) you missed 2 payments. How much do you still owe on this loan after 2 years (24 months)? ANS. /3 138.63 7. $150,000 was borrowed at 8% per year. Annual end of year payments of $14,500 will be made. What will be the amount of the last payment? ANS. / , P66. 76 8. You bought some stock for $83.125 per share. Dividends of $3.55 per share have been paid each year. After 5 years you sold the stock for $129.375 per share. What was your annual effective rate of return? ANS. /2.88 % 9. A dam is being built that will cost $500,000. The dam will cost $20,000 per year to operate and will require a maintenance expense of $30,000 every other year beginning two years from now. The dam is expected to last 30 years. If interest is 12%, calculate the capitalized cost. This is the present equivalent assuming the dam will need to last forever. ANS. &OL, 816, 4 10. $25,000 flows uniformly and continuously into an account each year for 10 years. The nominal annual interest rate is 12%, compounded continuously. How much will be in the account after 15 years? ANS. 380, 735

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