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- An amount of $1,500 is invested for 5 years at the rates of 2% for the first two years, 5% for thethird year and 6% for the fourth and fifth years all compounded continuously. What is the totalamount at the end of the 5 years?Show your complete solution.Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities due. Present value of $800 per year for 10 years at 14%: $ Present value of $400 per year for 5 years at 7%: $ Present value of $800 per year for 5 years at 0%: $To what amount will the following investment accumulate: $21,000 invested for 5 years at 5 percent compounded annually?
- 9. An investment of P2, 500 is made at the end of each year with interest of 2. 5% compounded annualy. a. Determine the equal payment series coumpound amount factor after 8 years b. Determine the total amount of the investment after 8 years. c. How long (in years) will it take for the investment to amount P59, 865. 00?H5. A loan of X is repaid with level annual payments at the end of each year for 10 years. You are given: The interest paid in the first year is 3,600 The principal repaid in the sixth year is 4,871. Calculate X. Show proper step by step calculationa. Set up an amortization schedule for a $19,000 loan to be repaid in equal installments atthe end of each of the next 3 years. The interest rate is 8% compounded annually.b. What percentage of the payment represents interest and what percentage representsprincipal for each of the 3 years? Why do these percentages change over time?
- If 400,000 is deposited at the rate of 6% compounded annually at the beginning of each period for 6 years what will be the sum at the end of 10th year? Please show a solution :(Find the amount that should be invested now to accumulate the following amount, if the money is compounded as indicated. $6000 at 4% compounded semiannually for 12 years.If $1000 is invested annually at 6% continuous compounding for each of 10 years, how much is in the account after the last deposit? (a) $1822 (b) $10,000 (c) $13,181 (d) $13,295
- $1,000 is invested for 5 years in an account earning 8% annual interest, compounded semiannually. What will be the future value in 5 years?A loan of £ 2,120,000 is repayable by equal quarterly payments for 15 years. The effective rate of interest is 6% pa. iv. What is the total interest paid after the 25th payment?v. What is the amount of capital portion in the 54th payment?A loan $30.000 is to be amortized by equal payments at the end of each year for five years. The interest is calculated at the rate of 6% per annum compounded annually. Find the interest payment of 3rd year?