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If the annual interest rate is 7%, what is the monthly interest rate that would be used as the "r" in the
Hint: the equation uses the decimal equivalent of the percent
Enter your answer to four decimal places.
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.If the annual interest rate is 8%, what is the daily interest rate that would be used as the "r" in the time value of money equation? Hint: the equation uses the decimal equivalent of the percent Enter your answer to four decimal places.
- A bank quotes you an interest rate of 6.6% per annum with quarterly compounding. What is the equivalent rate with annual compounding? Enter your answer in percentage rounded to two decimals places (e.g, 15.45%)What nominal rate compounded monthly is equivalent to 20% compounded annually? Round off your answer to six decimal places. Show a solutions.Suppose you invest $1,500 in an account paying 6% interest per year. How much of this balance corresponds to interest on interest earned in the last (7th) period? (Dollar figures should be approximated to the nearest cent of a dollar, while rates should be expressed in percentage terms without using the "%" symbol and approximated to the nearest second decimal place.)
- What is the present value of twelve annual payments of $5,000, starting today if the interest rate is 13%? (Show using BA II Plus or By Hand)a. If the interest rate is 5.0% per year, approximately how long will it take for your money to quadruple in value? (Use the Rule of 72. Round your answer to 2 decimal places.) Number of years: b. If the inflation rate is 3.5% per year, what will be the change in the purchasing power of your money over this period? (Use the Rule of 72 to compute the number of years. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Purchasing power increases or decreases by %If the annual interest rate is 12.9% and the dollar amount compounds daily, you would ( a. multiply b. divide) the interest rate by (a. 1 b. 12 c. 52 c. 365) and you would (a. mul tiply b. divide) the number of time periods by (a. 1 b. 12 c. 52 d. 365)
- Suppose the interest rate is 6.9% APR with monthly compounding. What is the present value of an annuity that pays $100 every three months for six years? (Note:Be careful not to round any intermediate steps less than six decimal places.)What is the difference in present value between a perpetuity that pays $500 per year and an ordinary annuity that pays $500 per year for 23 years? Assume a discount rate of 7% and cash flows at the end of the period. Enter your answer as a number rounded to 2 decimal places.Percentages need to be entered in decimal format, for instance 3% would be entered as .03 in the interest rate cells.) Suppose your opportunity cost (interest rate/year) is 11% compounded annually. How much must you deposit in an account today if you want to pay yourself $230 at the end of each of the next 15 years? How much must you deposit if you want to pay yourself $230 at the beginning of each of the next 15 years? Bruce invested $1,250 (present value - enter as a negative number) 10 years ago. Today, the investment is worth $3,550 (future value). If interest is compounded annually, what annual rate of return did Bruce earn on his investment? (Use Solving for r - Rate of Return- on a Lump Sum) Mario wants to take a trip that costs $4,750 (future value), but currently he only has $2,260 (present value - enter as a negative number) saved. If Mario invests this money at 7% compounded annually, how long will it take for his investment to grow to the needed amount of…