Calculate the future value of the following two cases: a. LE150,000 deposited in an account that pays 8% simple interest for 7 years. b. LE150,000 deposited in an account that pays 8% compound interest for 7 years. Comment on the future value for both cases and why they are the same/different.
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Mortgages
A mortgage is a formal agreement in which a bank or other financial institution lends cash at interest in return for assuming the title to the debtor's property, on the condition that the obligation is paid in full.
Mortgage
The term "mortgage" is a type of loan that a borrower takes to maintain his house or any form of assets and he agrees to return the amount in a particular period of time to the lender usually in a series of regular equally monthly, quarterly, or half-yearly payments.
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- If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)a) What is the present value of the following payment series when the interest rate is 3% YR1 = $200YR2 = $100YR3 = $370YR4 = $370YR5 = $370YR6 = $-300 b) Convert the above payment series to a uniform payment series over 5 years, starting at year 1. c) Convert the payment series in question 6 to a uniform payment series over 3 years starting at year 3.2. You are comparing two annuities which offer monthly payments of $1,000 for five years and pay 1.0 percent interest per month. Annuity A will pay you on the first of each month while annuity B will pay you on the last day of each month. Which one of the following statements is correct concerning these two annuities?A. Both annuities have the same future value as of ten years from today.B. Both annuities are of equal value today.C. Annuity B has a higher present value than annuity AD. Annuity B is an annuity due.E.Annuity A has a higher future value than annuity B.
- 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.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 4Consider two perpetuities (X and Y) at interest rate i. X provides level payments of $105 at the end of each year. Y provides a payment of $5 at the end of the first year, with payments increasing by $5 annually. Find i such that the present value of (X-Y) is a maximum. (Answer to the nearest .05%.)
- 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 +You are given the following about two annuities-immediate: Annuity A pays 300 at the end of each year for 18 years. d ofc Annuity B pays 399.865 at the end of each year for 9 years. At an annual effective rate of interest i, the PV of both annuities are equal. Calculate i. Ponible Answers 12% 11% C 10% D 13% 14%Find the future values of these ordinary annuities.Compounding occurs once a year.a. $500 per year for 8 years at 14%b. $250 per year for 4 years at 7%c. $700 per year for 4 years at 0%d. Rework parts a, b, and c assuming they are annuities due.
- 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.Annuity A pays 1 at the beginning of each year for five years.Annuity B pays 1 at the beginning of each year for four years.The Macaulay duration of Annuity A at the time of purchase is Σ/10. Both annuities offer thesame yield rate.Calculate the Macaulay duration of Annuity B at the time of purchase. Σ=22What 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: Check