Suppose we invest £100,000 at a semi-annually compounded interest rate of 6% for 1 year. What are the gross and net returns? Do the same if this was a monthly compounded rate and a continuously compounded rate. Compare the chree net returns to the interest rate. Can you explain the ordering of these 4 quantities?
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- ou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +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.Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)
- 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 4You deposit $2X today, $3X one year from now and $3X two years from now. If there are different annual compounding interest rates per period as shown in the diagram below and if you had $19803 at the end of year 3, what is the value of X?Suppose that you have an investment that earns 0% in the first year, but 20.7% in the second year. What rate of interest, compounded annually, would yield the same return after two years? (Answer in percentage)
- suppose that an investment promises to pay a real 9% annual rate of interest and inflation rate is 3%. What is the effective annual interest rate on this investment assuming that interest is compounded quarterly? Note: Please show how you compute each of the items.1. If you receive $176 each month for 12 months and the discount rate is 0.04, what is the future value? (show the process and can use financial calculator)b1. F = Pert , which assumes continuous compounding, says that the Future value (F) of an amount (P) invested today at an annual rate (r), expressed as a decimal for the time (t), in years is given by the function. Thus if you invested $100 at the annual rate of 5 1/2% for 6 years and 3 months you would get back (at the end of the time), F = $100e(0.055)(6.25) = $100e(0.3438) = $100(1.4102) = $141.02. If you invest $15000 today, what amount does the formula say you will get back if you leave it for 5 years and 3 months in a savings account paying 4 1/2% annually?
- Suppose that an investment promises to pay a real 9% annual rate of interest and inflation rate is 3%. What is the effective annual interest rate on this investment assuming that interest is compounded quarterly? PLEASE SHOW HOW YOU COMPUTE EACH OF THE ITEMS.Assume that time is measured in years. Calculate the total present value at time 0 of a payment of £257 paid at time 4 and a payment of £67 paid at time 12, using an interest rate of 5% per annum effective.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.) Present Value Future Value 1. 54.000 8.0% 68,000 43,500 2. 17.127 S 16 3. 10,117 20.0% 42,558 S 10,378 4. 135.000 15 5. 7.0% 6. I=