The figure shows a graph that compares the present values of two ordinary annuities of $900 quarterly, one at 5% compounded quarterly and one at 9% compounded quarterly 70000 Dollars 60000 50000 40 000 30000 20000 10000 0 20 40 60 80 100 120 140 Quarters (a) Determine which graph corresponds to the 5% rate and which corresponds to the 9% rate. The higher graph is the one at 5% and the lower one is the one at 9% The lower graph is the one at 5% and the higher one is the one at 9 (b) Use the graph to estimate the difference (in dollars) between the present values of these annuities for 25 years (100 quarters) $1078497 X fr Writ sentence that lains this ritterarie

The figure shows a graph that compares the present values of two ordinary annuities of $900 quarterly, one at 5% compounded quarterly and one at 9% compounded quarterly 70000 Dollars 60000 50000 40 000 30000 20000 10000 0 20 40 60 80 100 120 140 Quarters (a) Determine which graph corresponds to the 5% rate and which corresponds to the 9% rate. The higher graph is the one at 5% and the lower one is the one at 9% The lower graph is the one at 5% and the higher one is the one at 9 (b) Use the graph to estimate the difference (in dollars) between the present values of these annuities for 25 years (100 quarters) $1078497 X fr Writ sentence that lains this ritterarie

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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Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24
Calculate the present value of the following annulties, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of S1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) \table[[, \table[[Annuity], [Payment]], \table [[ Annual], [Rate]], \table[[Interest], [Compounded]], \table [[Period], [Invested]], \table [[Present Value of], [ Annuity]]], [1., $5,000, 7.0%, Semiannually,3 years,], [2., 10, 000, 8.0%, Quarterly,2 years, ], [3., 4,000, 10.0 %, Annually,5 years,]]
If Treasury bills are currently paying 6.25 percent and the inflation rate is 1.8 percent, what is the approximate and the exact real rate of interest? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Approximate real rate Exact real rate % %
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.
Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what is the present value of $16,491.00 (rounded to the nearest dollar) to be received at the end of each of the next four years, assuming an earnings rate of 12%? a.$59,450 b.$16,491 c.$50,083 d.$39,611 Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a…
Click here to view factor tables What is the present value of 9 receipts of $2,720 each received at the beginning of each period, discounted at 9% compounded interest? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to O decimal places, e.g. 458,581.) The present value $
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The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
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