Answer the following questions: TIME VALUE OF MONEY years. What is the investment's FV at rates of 0%, 5%, and 20% after 0, 1, 2, 3, 4 and n b. Assuming a rate of 10% annually, find the FV of $1,000 after 5 a. years Find the PV of $1,000 due in 5 years if the discount rate is 10%. с. sOcurity that costs $1,000 and returns $2,000 after 5 year
Answer the following questions: TIME VALUE OF MONEY years. What is the investment's FV at rates of 0%, 5%, and 20% after 0, 1, 2, 3, 4 and n b. Assuming a rate of 10% annually, find the FV of $1,000 after 5 a. years Find the PV of $1,000 due in 5 years if the discount rate is 10%. с. sOcurity that costs $1,000 and returns $2,000 after 5 year
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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i need help with these questions
![equal payments (starting immec
What will the FV and the PV be for $1,000 due in 5 years if the interest rate is 10%,
would be in
5-41
TIME VALUE OF MONEY Answer the following questions:
Assuming a rate of 10% annually, find the FV of $1,000 after 5 vears
а.
Find the PV of $1,000 due in 5 years if the discount rate is 10%.
What is the rate of return on a security that costs $1,000 and returns $2,000 after
b.
C.
Suppose California's population is 36.5 million people and its population is expo
grow by 2% annually. How long will it take for the population to double?
Find the PV of an ordinary annuity that pays $1,000 each of the next 5 veaa
interest rate is 15%. What is the annuity's FV?
How will the PV and FV of the annuity in (f) change if it is an annuity due?
h. What will the FV and the PV be for $1,000 due in 5 years if the interest rate is 100
semiannual compounding?
What will the annual payments be for an ordinary annuity for 10 years with a PV ed
$1,000 if the interest rate is 8%? What will the payments be if this is an annuity due?
j. Find the PV and the FV of an investment that pays 8% annually and makes the
following end-of-year payments:
d.
е.
f.
g.
i.
1
2
+
+
$100
$200
$400
k. Five banks offer nominal rates of 6% on deposits; but A pays interest annually, B pays
semiannually, C pays quarterly, D pays monthly, and E pays daily.
1. What effective annual rate does each bank pay? If you deposit $5,000 in each bank
today, how much will you have in each bank at the end of 1 year? 2 years?
2. If all of the banks are insured by the government (the FDIC) and thus are equali
risky, will they be equally able to attract funds? If not (and the TVM is the onh
consideration), what nominal rate will cause all of the banks to provide the sam
effective annual rate as Bank A?
3. Suppose you don't have the $5,000 but need it at the end of 1 year. You plan to ma
a series of deposits-annually for A, semiannually for B, quarterly for C, montr
for D, and daily for E-with payments beginning today. How large must
payments be to each bank?
4. Even if the five banks provided the same effective annual rate, would a raue
investor be indifferent between the banks? Explain.
1. Suppose you borrow $15,000. The loan's annual interest rate is 8%, and it requires
equal end-of-year payments. Set up an amortization schedule that shows the annuar
ments, interest payments, principal repayments, and beginning and ending loan bae](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1413a236-2911-494e-89f3-793c78d3d778%2F842de2e9-768a-4bb3-801a-4b08dacad723%2Fry4xkf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:equal payments (starting immec
What will the FV and the PV be for $1,000 due in 5 years if the interest rate is 10%,
would be in
5-41
TIME VALUE OF MONEY Answer the following questions:
Assuming a rate of 10% annually, find the FV of $1,000 after 5 vears
а.
Find the PV of $1,000 due in 5 years if the discount rate is 10%.
What is the rate of return on a security that costs $1,000 and returns $2,000 after
b.
C.
Suppose California's population is 36.5 million people and its population is expo
grow by 2% annually. How long will it take for the population to double?
Find the PV of an ordinary annuity that pays $1,000 each of the next 5 veaa
interest rate is 15%. What is the annuity's FV?
How will the PV and FV of the annuity in (f) change if it is an annuity due?
h. What will the FV and the PV be for $1,000 due in 5 years if the interest rate is 100
semiannual compounding?
What will the annual payments be for an ordinary annuity for 10 years with a PV ed
$1,000 if the interest rate is 8%? What will the payments be if this is an annuity due?
j. Find the PV and the FV of an investment that pays 8% annually and makes the
following end-of-year payments:
d.
е.
f.
g.
i.
1
2
+
+
$100
$200
$400
k. Five banks offer nominal rates of 6% on deposits; but A pays interest annually, B pays
semiannually, C pays quarterly, D pays monthly, and E pays daily.
1. What effective annual rate does each bank pay? If you deposit $5,000 in each bank
today, how much will you have in each bank at the end of 1 year? 2 years?
2. If all of the banks are insured by the government (the FDIC) and thus are equali
risky, will they be equally able to attract funds? If not (and the TVM is the onh
consideration), what nominal rate will cause all of the banks to provide the sam
effective annual rate as Bank A?
3. Suppose you don't have the $5,000 but need it at the end of 1 year. You plan to ma
a series of deposits-annually for A, semiannually for B, quarterly for C, montr
for D, and daily for E-with payments beginning today. How large must
payments be to each bank?
4. Even if the five banks provided the same effective annual rate, would a raue
investor be indifferent between the banks? Explain.
1. Suppose you borrow $15,000. The loan's annual interest rate is 8%, and it requires
equal end-of-year payments. Set up an amortization schedule that shows the annuar
ments, interest payments, principal repayments, and beginning and ending loan bae
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