Using an effective rate of interest of 6% per year, find the DISCOUNTED MEAN TERM (in years) of the following series of payments: £200 payable after 8 years, £100 payable after 12 years, and £450 payable after 16 years. Just formulas, no tables, and correct answer=12.5865
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Using an effective rate of interest of 6% per year, find the DISCOUNTED MEAN TERM (in years) of the following series of payments: £200 payable after 8 years, £100 payable after 12 years, and £450 payable after 16 years. Just formulas, no tables, and correct answer=12.5865
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- Determine the DISCOUNTED MEAN TERM (in years) of the following series of payments: £200 payable after 8 years, £100 payable after 12 years, and £450 payable after 16 years, using an effective rate of interest of 6% annually. No tables, only formulas, correct answers=12.5865Answer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 7. Compound Interest A. If the sum of P 12,000 (pesos) is deposited in an account earning interest rate of 9% compounded quarterly, what will it become after 1 year? B. In the previous problem, what is the effective rate? C. What is then the equivalent nominal interest rate if compounded monthly?Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p=$280, r=7.25%, t=2.75 years The simple interest is
- Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p = $340, r = 5.75%, t = 5.25 years The simple interest is $ (Round to the nearest cent as needed.)Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.
- Given an interest rate of 5.7 percent per year, what is the value at t = 8 of a perpetual stream of $4,100 annual payments that begins at t = 18? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Value at t = 8 $Given an interest rate of 4.8 percent per year, what is the value at date t = 10 of a perpetual stream of $3,200 payments that begins at date t = 20? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty 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, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4
- (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%?What is the future value (at the end of 8 years) of an annuity that pays $700 a quarter over 8 years with the payments invested at 9.3% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer: CheckAnswer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 11. Compound Interest What rate in percent compounded monthly is equivalent to 18% compounded semi-annually? 14. When compounded bi-monthly, P150,000 becomes P223,183 after 5 years. What is the nominal rate of interest?
