A pension fund is making an investment of $112,000 today and expects to receive $1,720 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $112,000 will be returned. Required: What is the internal rate of return compounded annually on this investment? Note: Do not round intermediate calculations and round your final answer to 1 decimal place.
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- Answer the following questions using Excel's RATE, NPER, PMT, PV and FV functions. 2. What sum of money invested today in a retirement fund will permit withdrawals of $600.00 at the end of each month for twenty years if interest is 6% compounded semi- annually?You deposit $600 today into a fund that you intend to leave invested for 6 years. The fund earns 6% interest compounded annually. Indicate the inputs to be entered into the financial calculator keys. What is the value of the fund to be accumulated at the end of year 6? (Round future value answer to two decimal places (e.g., 52.75) and interest rate to one decimal place (e.g., 527.5).) Inputs Calculator N Keys Future value $ 6 I 6 PV 600Consider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…
- Which table would you use to determine how much must be deposited now in order to provide for 5 annual withdrawals at the beginning of each year, starting one year hence? a. Future value of an ordinary annuity of 1 b. Future value of an annuity due of 1 c. Present value of an annuity due of 1 d. None of these answer choices are correct.For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (/= interest rate, and n= number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4You want to invest in an annuity that will pay you $2,300 per quarter for the first 8 years and $1,200 per month for the last 5 years. If the annuity earns 4.35% compounded quarterly for the first 8 years and 5.85% compounded monthly for the remaining 5 years, what would be the amount of your initial investment? Enter the appropriate values in the blanks below, round answers to two decimal places. Initial Balance ||<---- I 5 years A/ N = A/ P/Y= A/ PV = A/ PMT= A/ FV = Final Balance A/ E E
- Percentages need to be entered in decimal format, for instance 3% would be entered as .03 in cell B12.) Set up an amortization schedule for a $60,000 loan to be repaid in equal installments at the end of each of the next 20 years at an interest rate of 20%. What is the annual payment? After you input the data for each scenario, click on the Graph tab (second tab on the worksheet) and look at the Principal and Interest portions of the payments throughout the years. What do you notice about the amount of Principal and Interest over the years (which amount is higher in the early years, and which amount is higher in the later years) of the loan? What do you notice about the difference in Principal and Interest in the 10% scenarios compared to 20% scenarios?Suppose you make equal quarterly deposits of $2,500 into a fund that pays interest at a rate of 5% compounded monthly. Find the balance at the end of year 3. Hint: You will need an effective interest rate in your calculations. As a proportion, round this value to 4 places after the decimal when you use this in subsequent calculations. Note: Note: When entering your answer, do not use any dollar symbols or any other units. Enter only the value rounded to the nearest integer (nearest dollar). Also, for longer values, do not use any commas.Find the amount needed to deposit into an account today that will yield a typical pension payment of $15,000 at the end of each of the next 24 years for the given annual interest rate. (Round your answer to the nearest cent.) 3.7% = $ ?
- GQ Corporation hopes to withdraw 59,000 at the end of each year for six years from a fund that earns 7% interest. How much should the corporation invest today? Draw a timeline to illustrate the problem. Interest is compounded annually. (Click the icon to view the Future Value of $1 table.) (Click the icon to view the Future Value of an Ordinary Annuity table.) (Click the icon to view the Future Value of an Annuity Due table.) Caro today (Click the icon to view the Present Value of $1 table.) (Click the icon to view the Present Value of an Ordinary Annuity table) (Click the icon to view the Present Value of an Annuity Due table) How much should the corporation invest today? (Use the present value and future value tables, a financial calculator, a spreadsheet or the formula method for your calculations. If using present and future value tables or the formula method, use factor amounts rounded to five decimal places, XXXXXXX Round your final answer to the nearest cent. SXXX) The…For each of the following situations involving annuities, solve for the unknown Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (=interest rate, and n number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. EVA of $1. PVA of $1, EVAD of $1 and PVAD of $1) 1 2 3. 4. 5 Present Value 368,041 714,457 600,000 200,000 Annuity Amount $ 4,000 105,000 110.000 96,048 8% 10% 10% n= 5 4 9 4Compute the present value of an annuity of $621 per year for 25 years, given a discount rate of 6 percent per annum. Assume that the first cash flow will occur one year from today (that is, at t = 1). Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Your Answer: Answer