Exercise 5-5 (Algo) Solving for unknowns; single amounts [LO5-4] For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i= interest rate, and n= number of years) (FV of $1. PV of $1. FVA of $1. PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.) 1. 2. 3. 4. 5. Present Value Future Value $ $ $ $ i $ 80,000 4.5% 31,841 $ 94,000 15,762 $ 50,000 84,482 $ 200,000 13,291 8.0% 9.0% n 9 16 10 15
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- 3 Approximately , what is the value of ( P ) it F - 114140 , n - 9 years , and in 8 % per year ? a . 57098 b . 76512 c 47392 d . 68518 Approximately , what is the value of the total Present worth ( where Ptotal = PA + PG ) if G ( arithmetic gradient ) -50 , n - 11 years , A - 380 and i 10 % per year ? a 3788 b . 5076 c 3145 d 4546I calculated the PV value of a $100 payment stream at 1% for 6 years payable at the beginning of the year to be $585.34. Likewise, if I have a balance today of $584.34 in 6 years this balance would be paid off if I deduct $100 at the beginning of each year at 1% interest. (See image capture 1) However I run into issues whe I use two interest rates. Time Payment Rate PV 0 $100 1% 100/(1.01)^0=100 1 $100 1% 100/(1.01)^1=99.01 2 $100 1% 100/(1.01)^2=98.03 3 $100 2% 100/((1.01)^2*(1.02))=96.11 4 $100 2% 100/((1.01)^2*(1.02)^2)=94.22 5 $100 2% 100/((1.01)^2*(1.02)^3)=92.38 The Total PV for this stream is $579.75. So why doesn't the following equation yield zero: Time Payment Rate Balance…A debt of $7311.92 is repaid by payments of $1795.22 in 8months ,$1002.19 in 17months, and a final payment in23months. If interest was8%compoundedsemi-annually, what was the amount of the final payment? The final payment is $nothing. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
- 3) Estimate the compound interest along with principal payable in second year when amount of loan is OMR 10000 at 8% interest. a. 11664 b. 11800 c. 12975.62 d. None of the options Clear my choicestep by step instructions no excel What is the present value of $4000 to be received in 5 years if the interest rate is 8% p.a.? a. $5752 b. $2400 c. $5877 d. $2722A series of year and payments extending over eight years are as follows: First Year : P11,085 Second Year: P23,819 Third Year: P30,911 Fourth-Eight Year: P40,000 Assuming money is worth 12.15% Compounded annually. Determine the ff: a.) Present Value of all payments. (Answer: 108,138.03) b.) Equivalent semi-annual payments. (Answer: 10,627.783) Note: Show the step by step solution. Don't use excel.
- Q3): Fill in the entire chart for the below annuities by filling in all the blanks. Solve only (d),(e),(f) part # Payment and frequency (PMT) Time in years (n) Interest rate and compound frequency (I/Y) Present Value (PV) Future Value (FV) a. $5,682.04 per quarter (end) 5 years 5% compounded quarterly ______________ Not Applicable b. $241.63 per month (end) 69 payments 6 ¼ % compounded monthly Not Applicable _______________ c. $____________ per quarter 7 years and 3 months 3 % compounded semi-annually $7,795.89 Not Applicable d. $445.30 per month __________years 7.45 % compounded quarterly Not Applicable $24,788.40 e. $2,000 beginning of every six months 12 ½ years _______compounded quarterly $37,708.30 Not Applicable f. $2,789.58 beginning of every 3 months 60 months 2.75% compounded quarterly Not Applicable…correct answers are i) 455,154.48 and ii) 2,506.64 No tables, only formulas, please Someone deposits £10,500 each year into a tax-free savings plan over a 20-year period. The payments are made monthly in arrears during the first 5 years and thereafter quarterly in arrears for the remaining 15 years. The savings plan pays compound interest at the rates of: 6% p.a. nominal convertible monthly for the first 10 years, and 7.5% p.a. nominal convertible quarterly for the remaining 10 years. (i) Calculate the total amount of fund accumulated in the savings plan at the end of the 20- year period. (ii) At the end of the 20-year period, the individual intends to invest the total savings into a level fixed term annuity product that provides a future retirement income. Calculate the monthly income that the individual can obtain by investing the sum calculated in part (i) into a 25-year term annuity payable monthly in arrears at an effective interest rate of 4.5% p.a.E6.18 (LO 4) (Least Costly Payoff) Assume that Sonic Foundry Corporation has a contractual debt outstanding. Sonic has available two means of settlement. It can either make immediate payment of $2,600,000, or it can make annual payments of $300,000 for 15 years, each payment due on the last day of the year. Instructions Which method of payment do you recommend, assuming an expected effective interest rate of 8% during the future period?
- A5 A 12-year loan is repaid with annual payments at the end of each year. For the first four years, each payment is X; for the next four years, each payment is 3X; for the final four years each payment is 2X. The amount of interest due in the fifth payment is twice as much as the interest due in the 9th payment. Find i, the (non-zero) annual effective interest rate, rounded to two decimal places after converting to a percentage. Please solve using steps and definitions, not Excel spread sheet.For each of the following situations involving single amounts, solve for the unknown (?). Assume that interest is compounded annually. (i = interest rate, and n = number of years) Present Value Future Value i n1. ? $ 40,000 10% 52. $ 36,289 65,000 ? 103. 15,884 40,000 8 ?4. 46,651 100,000 ? 85. 15,376 ? 7 20correct answers are i) = 16,775. ii) = 15,293.38. iii) for a) 15,131.79 and for b) 167.64 no tables, only formulas, please A loan is to be repaid by an annuity payable monthly in arrears over a 5-year period. The annuity starts at a rate of £200 per month and increases each month by £5. Repayments are calculated using a rate of interest of 8% per annum effective. (i) Calculate the amount of the original loan to the nearest £. (ii) Calculate the capital outstanding at the end of the first year (after the payment due has been made) to the nearest £0.01. (iii) Hence, or otherwise, calculate the capital and interest components of the 13th and 14th payments.