Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually. Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

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Answer 1

Question

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

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Find the future values of the following ordinary annuities:a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannuallyb. FV of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterlyc. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur?

uture Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $600 each 6 months for 5 years at a nominal rate of 16%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $300 each 3 months for 5 years at a nominal rate of 16%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ The annuities described in parts a and b have the same amount of money paid into them during the 5-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 5 years. Why does this occur? -Select-The nominal deposits into the annuity in part (b) are greater than the nominal deposits into the annuity in part (a).The annuity in part (a) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (a) is compounded more…

Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $600 each 6 months for 4 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $300 each 3 months for 4 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ The annuities described in parts a and b have the same amount of money paid into them during the 4-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 4 years. Why does this occur?

Answer 2

Question

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

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Answer 3

Question

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

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Answer 4

Question

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

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Answer 5

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 6

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 7

Chapter 5, Problem 25P

a.

Summary Introduction

To compute: Future value of annuity of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 8

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 9

b.

Summary Introduction

To compute: Future value of annuity of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly.

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 10

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 11

c.

Summary Introduction

To explain: The reason for annuity in part (b) is larger than annuity in part (a).

Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 5 - Prob. 1Q Ch. 5 - Explain whether the following statement is true or...Ch. 5 - If a firms earnings per share grew from 1 to 2...Ch. 5 - Would you rather have a savings account that pays...Ch. 5 - Prob. 5Q Ch. 5 - Prob. 6Q Ch. 5 - Banks and other lenders are required to disclose a...Ch. 5 - Prob. 8Q Ch. 5 - FUTURE VALUE If you deposit 2,000 in a bank...Ch. 5 - PRESENT VALUE What is the present value of a...

Solution Summary: The author calculates the future value of annuity of 400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually.

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