2. For each of the following compounding intervals, show the formula and the t that would be needed to calculate the amount in an account after 28 months, when $2500 was initially deposited, and APR is 5.2%. Also calculate the time it takes for the initial investment to reach $4000 (give both the t-value and value in context).

2. For each of the following compounding intervals, show the formula and the t that would be needed to calculate the amount in an account after 28 months, when $2500 was initially deposited, and APR is 5.2%. Also calculate the time it takes for the initial investment to reach $4000 (give both the t-value and value in context).

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider an initial investment of $100 using an accumulation function which is a second-degree polynomial. You are given that the future values of this investment at the end of six months and the first year are $120 and $150, respectively. Determine the present value of 100$ which is paid at time -15.
When an initial amount of P dollars is invested at r% annual interest compounded n times per year, the value of the account (4) after years is given by the equation nt A=P(1 + =)** n Write an equation that represents the value in an account that starts out with an initial investment of $5000 and pays 10% interest compound monthly. Then use that equation to fill the table and use the table to graph the equation. Years (1) Value (4) 0 5 10 15 20 oo → KI
You plan to invest in an account which pays 4% compounded continuously. If the investment period is for 7 years, then A(P) = Pe0.04-7-Pe028 gives the total balance of P dollars. a Find a formula for A'(P) Find and interpret A'(8000) b. c. Compare the approximation to the actual change..
Compute the simple interest INT for the specified length of time and the future value FV at the end of that time (in dollars). Round all answers to the nearest cent. $12,300 is invested for 9 months at 7% per year. INT = $ ___ FV = $ __
Investment If $5000 is invested for 6 years atinterest rate r (as a decimal), compounded annually, the future value of the investment is given byS = 5000(1 + r) 6dollars.a. Find the future value of this investment for selectedinterest rates by completing the following table. b. Graph this function for 0 <= r <= 0.20.c. Compute the future value if the rate is 10% and20%. How much more money is earned at 20%?
To calculate how many years (n) an investment (P) must be kept in an account that earns interest at i%, in order to triple in amount, which of the following expressions should be used? (a) n = -P + F(P/F, i%, n) (b) n = [log (F/P)]/[log (1+ i%)] (c) n = [ In(– P +F)]/[In i%] (d) n = -F(1 + i%)P
The following investment requires table factors for periods beyond the table. Using Table 11-1, create the new table factor, rounded to five places, and calculate the compound amount (in $, rounded to the nearest cent.) Time Nominal Interest New Table Compound Principal Period (years) Rate (%) Compounded Factor Amount $17,000 29 annually $ Need Help? Read It
SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Calculate the amount of the previous problem, if the investment is compounded quarterly. Formulas Compound interest Annual compounding M = C(1+i)n 1 = Cni M = C(1 + i) Fractional capitalization M=C{1+4)*
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 4
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?
An investment accumulates at a force of interest δt = 0.01t / (3 + 0.01t^2) . Find the present value at time t = 0 of $3,900 due at the end of 7.5 year.
The following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. Compound Amount New Table Factor Term of Nominal Interest Present Investment (years) Rate (%) Compounded Value $36,000 36 7 annually $ Need Help? Read It

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