Quiz on time value of money
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The document discusses time value of money concepts including present value, compound interest, and present value interest factors. It contains 20 multiple choice questions testing understanding of these concepts. Some key ideas covered are: 1) Money received in the future is worth less than money received today. 2) The present value of a future amount discounts the future value to account for the time value of money. 3) Present value interest factors (PVIF) and present value interest factors for annuities (PVIFA) are used to calculate the present value of future cash flows given a discount rate.
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$300
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b.
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c.
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d.
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e.
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a.
become riskier over time, but its intrinsic value will be maximized
b.
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c.
accept too many low-risk projects and too few high-risk projects
d.
become more risky and also have an increasing WACC. Its intrinsic value will not be maximized
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2
3
4
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β -
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ππ =
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ππ‘π
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π·ππ£+
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(π β π)
π = π
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University of Guelph
Gordon S. Lang School of Business and Economics
Department of Economics and Finance
ECON*2560DE: Theory of Finance Summer Semester 2019
Key Concepts for Theory of Finance
The following is a list of some of the major concepts that have been covered during the course that you
should make sure you understand in your preparation for the final exam.
Ch. 1 β Goals and Governance of the Firm
The goal of managers is to maximize firm value
Advantages and disadvantages of a corporation
The difference between real and financial assets
Ch. 2 β Financial Markets and Institutions
Functions of financial markets and institutions
Ch. 3 β Accounting and Finance
Balance sheet, Income statement, statement of Cash flows
Market value vs. book value
Ch. 5 - Time Value of money
Single cash flow: future value, present value, how to find discount rate
Annuity: present value, how to find cash flow, annuity due, growing annuity, multiple payments
per year, amortization
Perpetuity: present value, how to find cash flow, how to find discount rate, growing perpetuity
Relationship between discount rate and PV
Inflation β real vs. nominal interest rates
Compounding (EAR)
Ch. 6 β Valuing Bonds
Calculate PV with annual or semi-annual coupons
How bond prices vary with interest rates
Relationships between - coupon rate, YTM, current yield, rates of return, and prices
Relationships between risk and maturity, risk and coupon rate
Yield curve
Bond ratings and default premium
You will not be asked to calculate Yield to Maturity
Ch. 7 β Valuing Stocks
Dividend discount model: no growth, constant growth, non-constant growth, sustainable growth
rate
Relationship between price and growth rate, ROE, plowback ratio, discount rate
Market efficiency
Ch. 11 β Introduction to Risk and Return and the Opportunity Cost of Capital
Relationship between risk and return
Unique vs market risk
Benefits of diversificati
seo service
This document contains 41 multiple choice questions regarding time value of money concepts. The questions cover a range of topics including calculating future and present values, interest rates, annuities, bonds, loans, and other financial calculations. The correct answers to each question are also provided.
Numericals problem sheet rmb fm 01-3
1. This document provides information on investments and bond pricing. It includes questions related to portfolio expected returns and risk given expected returns, standard deviations, and correlations of individual investments.
2. Questions ask to calculate portfolio expected returns and risk based on weights of investments in the portfolio and their correlations. Other questions calculate bond prices today given yield to maturity, coupon rates, time to maturity, and coupon payment frequencies.
3. The final questions calculate Treynor ratio and Jensen's alpha for portfolios with given returns, betas, market returns, and risk-free rates to evaluate portfolio performance relative to risk adjusted returns.
3 time value_of_money_slides - Basic Finance
The document discusses the time value of money, which is the basic principle that a dollar received today is worth more than a dollar received in the future due to opportunity costs. It defines key terms like compound interest, future value, present value, and annuities. The five learning objectives are to define the time value of money, understand its significance, learn how to calculate future and present values of cash flows, understand compounding and discounting, and work with annuities and perpetuities.
Capital budgeting problems
The document contains 27 multiple choice questions related to capital budgeting techniques including calculating net present value (NPV), internal rate of return (IRR), cash flows, depreciation, taxes, and evaluating investment projects. The questions require calculating financial metrics for new projects and equipment purchases with initial costs and multi-year cash flows to determine which projects should be accepted based on required rates of return and other criteria.
Capital budgeting problems
The document provides examples of calculating net present value (NPV), internal rate of return (IRR), and payback period for various capital budgeting projects. It includes multiple choice questions testing the ability to calculate NPV, IRR, payback period and determine whether projects should be accepted based on these metrics and a required rate of return. The examples cover a range of project cash flows including initial investments, annuities, salvage values and taxes to demonstrate different capital budgeting techniques.
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Lecture 10 basic tools of finance
This document provides a summary of a lecture on basic tools of finance. It begins with 10 multiple choice questions covering topics like major stock markets, stock price to earnings ratios, and reasons to invest in mutual funds. It then provides definitions for key terms in finance like present value, future value, and risk aversion. Several key formulas are presented for calculating future value using compounding and present value using discounting. An example of how compounding works is shown along with the effects of different interest rates on future values over time.
Discounted Cash Flow
This document discusses discounted cash flow concepts including computing the future and present value of multiple cash flows, annuities, and perpetuities. It provides examples of using financial calculators and formulas to value cash flows with different timings and amounts. Several examples are given to illustrate computing future value, present value, payment amounts, number of periods, and interest rates for loans, investments, and other cash flow scenarios.
BBA 3310 Unit VI AssignmentInstructions Enter all answers.docx
BBA 3310 Unit VI Assignment
Instructions: Enter all answers directly in this worksheet. When finished select Save As, and save this document using your last name and student ID as the file name. Upload the data sheet to Blackboard as a .doc, .docx or .rtf file when you are finished.
Question 1: (10 points). (Bond valuation) Calculate the value of a bond that matures in 12 years and has $1,000 par value. The annual coupon interest rate is 9 percent and the market's required yield to maturity on a comparable-risk bond is 12 percent. Round to the nearest cent.
The value of the bond is
$814.17
Question 2: (10 points). (Bond valuation) Enterprise, Inc. bonds have an annual coupon rate of 11 percent. The interest is paid semiannually and the bonds mature in 9 years. Their par value is $1,000. If the market's required yield to maturity on a comparable-risk bond is 14 percent, what is the value of the bond? What is its value if the interest is paid annually and semiannually? (Round to the nearest cent.)
a. The value of the Enterprise bonds if the interest is paid semiannually is
$ 849.11
b. The value of the Enterprise bonds if the interest is paid annually is
$ 851.61
Question 3: (10 points). (Yield to maturity) The market price is $750 for a 20-year bond ($1,000 par value) that pays 9 percent annual interest, but makes interest payments on a semiannual basis (4.5 percent semiannually). What is the bond's yield to maturity? (Round to two decimal places.)
The bond's yield to maturity is
6.20
%
Question 4: (10 points). (Yield to maturity) A bond's market price is $950. It has a $1,000 par value, will mature in 14 years, and has a coupon interest rate of 8 percent annual interest, but makes its interest payments semiannually. What is the bond's yield to maturity? What happens to the bond's yield to maturity if the bond matures in 28 years? What if it matures in 7 years? (Round to two decimal places.)
The bond's yield to maturity if it matures in 14 years is
4.31
%
The bond's yield to maturity if it matures in 28 years is
4.23
%
The bond's yield to maturity if it matures in 7 years is
4.49
%
Question 5: (15 points). (Bond valuation relationships) Arizona Public Utilities issued a bond that pays $70 in interest, with a $1,000 par value and matures in 25 years. The markers required yield to maturity on a comparable-risk bond is 8 percent. (Round to the nearest cent.) For questions with two answer options (e.g. increase/decrease) choose the best answer and write it in the answer block.
Question
Answer
a. What is the value of the bond if the markers required yield to maturity on a comparable-risk bond is 8 percent?
$ 893.252
b. What is the value of the bond if the markers required yield to maturity on a comparable-risk bond increases to 11 percent?
$ 663.13
c. What is the value of the bond if the market's required yield to maturity on a comparable-risk bond decreases to 7 percent?
$1000
d. The change in the value of a bond caused by ch ...
India Budget 2012-13 - A FICCI Analysis
India Budget 2012-13 - A FICCI AnalysisFederation of Indian Chambers of Commerce & Industry (FICCI)
The Union Budget for 2012-13 projects India's fiscal deficit to be 5.1% of GDP based on expected increases in non-tax revenue and indirect taxes. The nominal GDP growth rate is projected to be 14%, implying inflation of around 6.5%. Key measures include an increase in the income tax exemption limit and hikes in excise and service tax rates, which may dampen growth. Over the medium term, the government aims to further reduce the fiscal deficit to 4.5% of GDP by 2014-15, but fiscal consolidation is expected to remain a challenge.Β
Chapter 6: The Time Value of Money
The document discusses the time value of money concept. It explains that a dollar today is worth more than a dollar in the future due to factors like interest rates and the ability to earn interest on money over time. It also discusses the difference between future value, which measures the worth of cash flows after time has passed, and present value, which measures the current worth of future cash flows. Formulas are provided for calculating future value, present value, and the value of annuities over time discounted at a given interest rate. Examples are included to demonstrate calculations.
FIN623_Assessment Tool Page 1 of 6 Goldey-Beacom College.docx
FIN623_Assessment Tool
Page 1 of 6
Goldey-Beacom College
Assessment Survey
Corporate Finance (FIN623)
Time: 50 minutes
Choose the alternative the best answers the question.
Du Pont equation
1. The Wilson Corporation has the following relationships:
Sales/Total assets 2.0
Return on assets (ROA) 4%
Return on equity (ROE) 6%
What Β is Β Wilsonβs Β profit Β margin Β and Β debt Β ratio?
a. 2% and 0.33
b. 4% and 0.33
c. 4% and 0.67
d. 2% and 0.67
e. 4% and 0.50
P/E ratio and stock price
2. Cleveland Corporation has 100,000 shares of common stock outstanding. The companyβs Β net Β
income Β is Β $750,000 Β and Β its Β P/E Β is Β 8. Β Β What Β is Β the Β companyβs Β stock Β price?
a. $20.00
b. $30.00
c. $40.00
d. $50.00
e. $60.00
ROA
3. The Meryl Corporation's common stock is currently selling at $100 per share, which represents a
P/E ratio of 10. If the firm has 100 shares of common stock outstanding, a return on equity of 20
percent, and a debt ratio of 60 percent, what is its return on total assets (ROA)?
a. 8.0%
b. 10.0%
c. 12.0%
d. 16.7%
e. 20.0%
Equity multiplier
4. A firm which has an equity multiplier of 4.0 will have a debt ratio of
a. 4.00
b. 3.00
c. 1.00
d. 0.75
e. 0.25
FIN623_Assessment Tool
Page 2 of 6
Liquidity ratios
5. Oliver Incorporated has a current ratio = 1.6, and a quick ratio equal to 1.2. The company has $2
million Β in Β sales Β and Β its Β current Β liabilities Β are Β $1 Β million. Β Β What Β is Β the Β companyβs Β inventory turnover
ratio?
a. 5.0
b. 5.2
c. 5.5
d. 6.0
e. 6.3
Profit margin
6. The Merriam Company has determined that its return on equity is 15 percent. Management is
interested in the various components that went into this calculation. You are given the following
information: total debt/total assets = 0.35 and total assets turnover = 2.8. What is the profit
margin?
a. 3.48%
b. 5.42%
c. 6.96%
d. 2.45%
e. 12.82%
PV of an annuity
7. What is the present value of a 5-year ordinary annuity with annual payments of $200, evaluated at
a 15 percent interest rate?
a. $ 670.43
b. $ 842.91
c. $1,169.56
d. $1,348.48
e. $1,522.64
Interest rate of an annuity
8. South Penn Trucking is financing a new truck with a loan of $10,000 to be repaid in 5 annual end-
of-year installments of $2,504.56. What annual interest rate is the company paying?
a. 7%
b. 8%
c. 9%
d. 10%
e. 11%
Number of periods for an annuity
9. Your subscription to Jogger's World Monthly is about to run out and you have the choice of
renewing it by sending in the $10 a year regular rate or of getting a lifetime subscription to the
magazine by paying $100. Your cost of capital is 7 percent. How many years would you have to
live to make the lifetime subscription the better buy? Payments for the regular subscription are
made at the beginning of each year. (Round up if necessary to obtain a whole number of years.)
a. 15 years ...
Ba7064 first internal test q.p financial management
This document discusses various topics related to financial management including time value of money, methods of evaluating capital expenditures, bond and option valuation, yield to maturity, portfolio risk-return tradeoff, and weighted average cost of capital. It also provides multiple word problems to solve related to these topics. The document covers key financial management concepts and calculations.
Page I 1 ( Compound value solvingor 11) How many year.docx
Page I
1 ( Compound value solving/or 11) How many years will the following take?
a. $500 to grow to $1,419.71 if invested at 11 percent compounded annually
b. $38 to grow to $65. 1 3 if invested at 8 percent compounded annually
c. $ 120 to grow to $523.62 if invested at 12 percent compounded annually
d. $51 to grow to $62.05 if invested at 4 percent compounded annually
a. How many years wil l it take for $500 to grow to $1,419.71 if invested at 11 percent compounded annually?
_ years (Round to the nearest whole number.)
b. How many years will it take for $38 to grow to $65.13 if invested at 8 percent compounded annually?
_ years (Round to the nearest whole number.)
c. How many years will it take for $ 120 to grow to $523.62 i f invested at 12 percent compounded annually?
_ years (Round to the nearest whole number.)
d. How many years will it take for $51 to grow to $62.05 if invested at 4 percent compounded annually?
_ years (Round to the nearest whole number.)
2 . (Present value) What is the present value of the following future amounts?
a. $600 to be received 9 years from now discounted back to the present at 9 percent.
b. $200 to be received 7 years from now discounted back to the present at 7 percent.
c. $1,200 to be received 12 years from now discounted back to the present at 5 percent.
d. $1,200 to be received 5 years from now discounted back to the present at 17 percent.
a. What is the present value of $600 to be received 9 years from now cliscounted back to the present at 9 percent?
$_ (Rou nd to the nearest cent.)
b. What is the present value of $200 to be received 7 years from now discounted back to the present at 7 percent?
$_ (Round to the nearest cent.)
c. What is the present value of $1,200 to be received 12 years from now discounted back to the present at 5 percent ?
$_ (Roun d to the nearest cent.)
d. What is the present value of $1,200 to be received 5 years from now discounted back to the present at 17 percent?
$_ (Rou nd to the nearest cent.)
Page 3
3 . (Future value) Sarah Wiggum would like to make a single lump-sum investment and have $ 1.9 million at the time of her retirement in 26
years. She has found a mutual fund that expects to earn 4 percent annually. How much must Sarah invest today? If Sarah earned an annual
return of 15 percent, how much must she invest today?
a. IfSarah can earn 4 percent annually for the next 26 years; how much will she have to invest today?
$_ (Round to the nearest cent.)
b. If Sarah can earn 15 percent annually for the next 26 years, how much will she have to invest today?
$_ (Round to the nearest cent.)
4 . (Loan amortization ) Mr. Bill S. Preston, Esq., purchased a new house for $ 160,000. He paid $20,000 down and agreed to pay the rest over
the next 10 years in 10 equal end-of-year payments plus 7 percent compound interest on the unpaid balance. What will these equal
payments be?
The e.
Fundamental Skills for Real Estate Development Professionals I β Financial An...
The document discusses various topics related to real estate development financial analysis:
- It provides an agenda for a workshop on fundamental skills for real estate professionals, including sessions on financial analysis, structuring deals, and project entitlement.
- It then covers key concepts in real estate finance like static and dynamic cash flow analysis, debt coverage ratios, loan-to-value ratios, and determining property value and return on equity.
- The document concludes with an example discounted cash flow analysis of an office property investment, showing returns both with and without using leverage.
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Quiz on time value of money
- 1. Time Value of Money 1. Money today is worth more than money received tomorrow. (True/False) 2. Time value of money may be defined, as the relationship between rupee one in the future and rupee one today. (True/False) 3. The present is more uncertain than the future. (True/False) 4. The uncertaintyfactorincreaseswithtime βthe distantthe cash flows,the more uncertainthey become.(True/False) 5. Present value is the current value of a future amount. (True/False) 6. Compounding interest rate scheme provides interest on interest. (True/False) 7. Time value of money indicates that:- a) A unit of money obtained today is worth more than a unit of money obtained in future b) A unit of money obtained today is worth less than a unit of money obtained in future c) There is no difference in the value of money obtained today and tomorrow d) None of the above 8. PVIF stands for:- (a) Present value interest factor (b) Past value interest factor (c) Predictable value internal force (d) Present volume internal force. 9. PVIFA stand for:- (a) Present value interest factor Annuity (b) Past value interest factor Annual (c) Predictable value internal force Annuity (d) Present volume internal force Annuity. 10. What is the present value interest factor for 8th year at 12% interest rate:- (a) 0.404 (b) 0.826 (c) 0.361 (d) 0.712 11. What is the present value interest factor for 5th year at 10% interest rate:- (b) 0.621 (b) 0.683 (c) 0.751 (d) 0.826 12. What is the present value interest factor annuity for 8 years at 15% interest rate:- (c) 4.487 (b) 3.826 (c) 6.361 (d) 3.712 13. What is the present value interest factor annuity for 15 years at 5% interest rate:- (a) 9.516 (b) 4.526 (c) 6.961 (d) 7.913 14. If present value factor for 5th year is 0.476, calculate rate of interest.
- 2. (a) 16% (b) 18% (c) 17% (d) 21% 15. If present value interest factor annuity for 10 years is 5.426, calculate rate of interest. (b) 13% (b) 18% (c) 17% (d) 21% 16. The present value interest factor (PVIF) for 15% at the end of 5th year is:- (a) 0.497 (b) 0.909 (c) 0.797 (d) 0.621 17. If PVIF (r, 4th Year) is 0.683 then the rate of interest (r) is:- (a) 10% (b) 13% (c) 5% (d) 9.5% 18. If PVIF (5%, n) is 0.823 then the number of year (n) is: - (a) 4th (b) 3rd (c) 2nd (d) 5th 19. The present value interest factor annuity (PVIFA) at 13% for 5 year is: - (a) 3.517 (b) 3.59 (c) 0.707 (d) 4.621 20. If PVIFA (r, 10th Year) is 6.145 then the rate of interest (r) is:- (a) 10% (b) 13% (c) 8% (d) 9.5%