You borrow $1,000,000 at 3% compounded semi-annually and will pay it off over bi-weekly (every two weeks) payments for 25 years. What will your payments be?
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how to get "26" and ".0022"?
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- 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.Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?(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 borrow $1,000,000 at 3% compounded semi-annually and will pay it off over bi-weekly (every two weeks) payments for 25 years. What will your payments be? Note: remember to round interest rates to four positive decimal places, and to round factors to four decimal places. That is our convention in the course. Solution: A=1,000,000(A/P,ibw= (1+.03/2)2/26-1=.001146,N=25*26=650)=1,000,000(.0022)=2200 Note: if you don't round the factor your solution will be 2183. 2. Im N= 25 ya a6 = 650 A = lm (Ale, i, 25 xa6) = 2200 650 -(+ 受)-) = .0o146 %3DYou took a loan of 20000 KD today at an interest rate of 4.5%. You agreed to pay back the loan in 6 equal annual payments. Calculate the annual repayment amount. N = i = % years To answer this question, I should calculate: OPMT OFV OPV The annual repayment amount is: $ (Include two decimal places)
- You borrow $1,000,000 at 3% compounded semi-annually and will pay it off over bi-weekly (every two weeks) payments for 25 years. What will your payments be? Note: remember to round interest rates to four positive decimal places, and to round factors to four decimal places. That is our convention in the course. Solution: A=1,000,000(A/P,ibw= (1+.03/2)2/26-1=.001146,N=25*26=650)=1,000,000(.0022)=2200 Note: if you don't round the factor your solution will be 2183.If you borrow $46,000 at 9.5% annual compound interest and pay it back with 11 equal annual payments, what will be the size of each payment if the first payment occurs 1 year after borrowing the $46,000? $ Round your answer to 2 decimal places. The tolerance is ±1.You borrow $5000 now and agree to pay this whole amount back in three payments Poyment 1. SX in 2 months. Payment 2. $2X in 6 months Payment 3. $2X in 10 months a) Determine X if (yearly) interest is at 11.0% compounded monthly. b) Determine X if (yearly) interest is at 11.0% compounded continuously, Note: Do not use your calculator for this problem; type in an expression which represents the exact answer for parts a) and b). You must convert interest rate to the exact values, for example 10.1% = 101 1000
- A loan of $7000 is to be repaid by three equal payments one and a half year from now, three years and four and three quarter years from now respectively. What is the size of the equal payments if interest on the debt is 15% compounded quarterly ? Use six decimal places for intermediate calculations and round the final answer to 2 decimal places (e.g., 0,00) Be sure to show the tinancial calculator inputs for PY, I, PV, CY, N, FV and PMT on the document that you will hand in at the end of the test. Show the work for each calculation (required). Include a timeline if desired (optional)You are considering taking out a loan of $10,000.00 that will be paid back over 9 years with quarterly payments of $360.02. If the interest rate is 5.9% compounded quarterly, what would the unpaid balance be immediately after the eleventh payment? The unpaid balance would be $ (Round to 2 decimal places.) Submit QuestionWhat is the size of eight equal annual payments to repay a loan of $1,000? The first payment is due one year after receiving the loan? The interest rate is 10% per year. Hint (at_Page 21) The constant amount or payment (PMT) per interest period is calculated using the formula: PV(RATE(1+ RATE)NPER (1+ RATE)NPER – 1 PMT = RATE = effective interest rate per interest period NPER = number of compounding (interest) periods %3D PV = present value or principle or initial amount at the start
