can u help We have seen before that money deposited into an account with continuous interest follows theA = Pet formula. However, this required strict conditions that the money cannot be withdrawn oradded to throughout the term of the investment.A more complicated model that allows for deposits/withdraws is:* (ort -1)KA (t) = Pert +where K is the constant amount deposited (K > 0) or withdrawn (K < 0) each year.Problem: A $290,000 home mortgage with a rate of 2.3 % compounded continuously is borrowed for aperiod of 30 years.(A) Find the amount, K, that is neededbe paid off each year.(note: your K value should be negative because it is a "withdraw" from the principal, but youranswer should be reported as a positive number)To pay off the loan in 30years, $ Numberwould need to be paid off each year. (round tothe nearest cent)(B) Using the value found in part (A), how much money will be spent over the period of the loanrepaying the initial balance of $290,000?$ Number(round to the nearest dollar)Submit AssignmentQuit & SaveBackQuestion Menu aNext

The amount borrowed refers to the principal amount which is borrowed from the bank or financial…

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how much money

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...

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No tables, ONLY formulas, please, correct answers; (i) ?′ = 0.050622??, (ii) ?^(12) = 0.048892??
Toms UI IVesuTment to ychciut ed as a cost of borrowing to compensate the opportunity costs of the bank with I to the cash loaned to you. Moreover, the interest rate is usually expressed as nual percentage rate. activity ctions: On the space provided, write TRUE if the idea being expressed is correct and FALSE if otherwise. 1. In the most loan amortization schedules, amortization of discount or premium of the loan increases over time. 2. The process of obtaining future values is called discounting. 3. An annuity in which cash flows occur at the end of each period is called annuity. age
Which of the following characteristics is a necessary feature for pricing a set of cash flows as an ordinary annuity? Group of answer choices The period of time between each cash flow must not vary. More than one of the other options are correct. The cash flows must not be a fixed, regular amount. The cash flows must occur on a yearly basis.
Time value of money calculations can be solved using a mathematical equation, a financial calculator, or a spreadsheet. Which of the following equations can be used to solve for the future value of an annuity due? PMT x {[(1 + r)ª − 1]/r} x (1 + r) O FV/(1 + r)¹ PMT x {[(1 + r)" - 1]/r} O PMT x ({1 - [1/(1 + r)"]}/r) x (1 + r)
Which of the following is false? I. A lower interest rate would increase the present value of an investment. II. With compound interest method, interest is earned every period only on the orginal starting amount. III. "PMT" in the FVA formula tells us the periodic mortage payments for a fixed-rate fully amortized loan. O A. I, II, and III O B. III only O C. II and III only D. I only
In some banks the interest on the deposit depends on the amount on the account. Derive the difference equation describing the growth of your deposit in this situation taking the conversion period a and interest rate p(N).
A competitive lender makes loans to a pool of borrowers that are identical. After borrowers have received their loans they choose one of two investment projects. with probability Pg. With probability 1 – Pg, Project G pays a rate of return of -1, the borrower defaults on the loan, and the lender receives Project G pays the borrower a rate of return of r. nothing. Project B pays the borrower a rate of return of rB with probability pp. And with probability 1 – Pb, Project B pays a rate of return of -1, the borrower defaults on the loan, and the lender receives nothing. Pb, and P,(1+ rg) > Po(1+ rb). Suppose rg 0.98, pr = 0.4, rp = 0.02, L = 1. We assume as usual that rg 0.10, rb 0.12, Pg %3D The lender can't distinguish between borrower types and so it charges all borrowers the same interest rate rL. The lender lends an amount L and pays interest rp on funds acquired from depositors. Round your answer to at least three decimal places.
Task: Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount x, is due at the end of the rth year. Let the effective annual interest rate for the rth year be i,. Give an identity which expresses L in terms of the x, and i,. Answer: The identity is [ Select ] [ Select ] L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-2) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-2) ... (1+i_n)^(-n) L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2) + ... + x_n (1+i_1) (1+i_2) ... (1+i_n) L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-1) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-1) ... (1+i_n)^(-1) Question 3 L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2)^2 + ... + x_n (1+i_1) (1+i_2)^2 ... (1+i_n)^n
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. P=$4000, r= 7.5%, t= 9 months The future value is $ (Simplify your answer. Type an integer or a decimal.)
What is the amount of the quarterly deposits, A, such that you will be able to withdraw the amounts shown in the cash flow diagram, if the interest rate is 10% compounded quarterly? Use equation of value with focal point at Pt. 8. P125,000 P75,000 No. of quarters 1 2 3 7 A deposits
ing annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. Do not round intermediate calculations. Round your answers to the nearest cent. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press FV, and find the FV of the annuity due.) a. $600 per year for 10 years at 6%. $ b. $300 per year for 5 years at 3%. $ c. $600 per year for 5 years at 0%. $ d. Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is,…
6. Time Value of Money: Comparing Interest Rates Different compounding periods, are used for different types of investments. In order to properly compare investments or loans with different compounding periods, we need to put them on a common basis. In order to do this, you need to understand the difference between the nominal interest rate (INOM) and the effective annual rate (EAR). The -Select- interest rate is quoted by borrowers and lenders, and it is also called the annual percentage rate (APR). If the compounding periods for different securities is the same, then you -Select- use the APR for comparison. If the securities have different compounding periods, then the -Select- must be used for comparison. Here, M is the number of compounding periods per year and INOM/M is equal to the periodic rate (IPER). If a loan or investment uses -Select- the nominal interest rate is also its effective annual rate. However, if compounding occurs more than once a year, EAR is -Select- INOM.…