Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that $11,000 is invested at 3.8% interest for 11 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. Compounding Option n Value Result X (a) Annually n=1 $ (b) Quarterly n=4 $ (c) Monthly n = 12 $ (d) Daily 1 = 365 (e) Continuously Not Applicable

Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that $11,000 is invested at 3.8% interest for 11 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. Compounding Option n Value Result X (a) Annually n=1 $ (b) Quarterly n=4 $ (c) Monthly n = 12 $ (d) Daily 1 = 365 (e) Continuously Not Applicable

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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Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that $15,000 is invested at 3.7% interest for 17 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. Compounding Option n Value Result 5 (a) Annually n 7 S (b) Quarterly n $ (c) Monthly 72 SA (d) Daily n 365 $ (e) Continuously Not Applicable S
Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.) Principal TimePeriod (years) NominalRate (%) InterestCompounded CompoundAmount CompoundInterest $8,000 4 12 annually $ ?? $ ??
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 future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 years
a. Calculate the intrinsic value for each of the following call options. (Round your answers to 2 decimal places.) Company RJay RJay Sell-Mart Xenon Time to Expiration (months) RJay RJay Sell-Mart Xenon 1 2 Time to Company Expiration (months) 5 6 LO Strike 1 2 5 6 60 70 60 7.50 b. Now assume that the effective annual interest rate is 7.18%, which corresponds to a monthly interest rate of 0.58%. Calculate the present value of each call option's exercise price and the adjusted intrinsic value for each call option. (Round your answers to 2 decimal places.) Strike SO 60 70 60 7.50 62.77 62.57 67.80 6.48 Intrinsic Value SO 62.77 62.57 67.80 6.48 PV(X) Adjusted Intrinsic Value
3.Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.) Principal TimePeriod (years) NominalRate (%) InterestCompounded CompoundAmount CompoundInterest $5,500 4 8 quarterly $ $
Compute the present value if future value (FV) = $7,745, interest rate (r) = 8.1%, and number of years (t) = 11. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):
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 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
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,]]
For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: a. b. J C. a. b. Annual Rate C. 10% 8% 10% Annual Rate 9% 11% Number of Years Invested 12% 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Number of Rents Involved Number of Years Invested 29 16 10 7 7 20 29 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly (a) Rate of Interest % % % % % % (b) Number of Periods (b) Number of Periods
Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $18,500 18 months 4 semiannually $ $

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