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Where does the Present Value numbers come from? example: $2,761,904.76 (Column E3)
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- If the interest rate is 7.0%, what is the present value of a perpetuity paying $210 per year? (A perpetuity is a bond that makes payments forever.) Round to the nearest dollar. Do not use dollar signs or commas in your answer. Example: if the answer is $1,234.56, then write "1235"Calculate the present value of an annuity with monthly deposits of $2,000 at 5% for 20 years. Discuss how the present value of an annuity will change if the deposit is doubled?The present value of a perpetuity paying $20 at the end of every four years is $43. Find i.
- Suppose a relative has promised to give you $1,000 as a wedding gift the day you get engaged. Assuming a constant interest rate of 5%, consider the present and future values of this gift, depending on when you become engaged. Complete the first row of the following table by determining the value of the gift in one and two years with interest if you become engaged today and save the money. Date Received Present Value Value in One Year Value in Two Years (Dollars) (Dollars) (Dollars) Today 1,000.00 In 1 year 1,000.00 In 2 years 1,000.00 Now complete the first column of the previous table by computing the present value of the gift if you get engaged in one year or two years. The present value of the gift is if you get engaged in two years than it is if you get engaged in one year.Compute the value of F in the diagram below. 250, 200 150 * $100 3 Years 0 1 2 i = 10%For the following questions, choose the letter of the best answer (Show any work and explanations): 1. A home loan is taken out for $162,000. The loan is for 30 years, with a nominal annual rate of 7.5%,resulting in monthly payments of $1,132.73. The interest portion of the first payment will be what? a) $1,012.50 b) $682.73 c) $120.23 d) Answer cannot be determined without more information 2. A $100,000 asset has a $20,000 salvage value after its 10-year useful life. The depreciation allowanceusing straight-line depreciation is closest to what value? a) $2,000 b) $8,000 c) $10,000 d) $12,000 3. With reference to the straight-line depreciation method, which statement is false? a) The deprecation life (n) is set based on the MACRS property classes. b) An equal amount of depreciation is allocated in each year. c) The book value of the asset decreases by a fixed amount each year. d) The asset is depreciated down to a book value equal to the salvage value. 4. This past year, CLL…
- Which formula is correct for the simple interest calculation? Select one: a. F = P(1+i/n) b. F = P(1-in) c. F = P(1+in)Suppose the interest rate is 10%. If $100 is invested at this rate today, how much will it be worth after one year? After two years? After five years? What is the value today of $100 paid one year from now? Paid two years from now? Paid five years from now?If $500 grows to $1,500 over a certain period and interest rate, what will be the present value of $9,000 under the same terms?
- According to the Housing Affordability Index (HAI) is it a good time to buy a home in New Jersey? Use the following information and show all calculations: Median Housing Price in NJ = $500,628 Interest Rate 3.5% compounded monthly Term = 15 years Mortgage Payment as a percentage of income = 17% Down Payment =20% Median Household Income in NJ = 17%1) Calculate the value of a loan today that will be repaid with quarterly payments for a period of two years. During the first year, the quarterly payment is for $300, while in the second year, the quarterly payment increases to $400. Assume that the bank is charging an interest rate of 3% quarterly. Show your work.A state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $