Q7. The zero coupon bonds of Markus Inc. have a market price of RM394.47, a face value of RM1,000, and a yield to maturity of 6.87%. When will this bond mature? (Answer in number of years.)
Q8. Windmill Corp has a 15-year bond issue outstanding that pays a 9% coupon. The bond is currently priced at RM894.60 and has a par value of RM1,000. Interest is paid semiannually. What is the yield to maturity?
Q9. Creative Inc. has a current beta of 1.6. The market risk premium is 7 percent and the risk-free rate of return is 3 percent. By how much will the cost of equity increase if the company expands its operations such that the company beta rises to 1.9?
Q10. The Bystanders Company has 100,000 bonds outstanding that are selling at par value (RM1,000). Bonds with similar characteristics are yielding 7.5 percent. The company also has 1 million preferred stocks and 5 million shares of common stock outstanding. The preferred stock has par value of RM100 and fixed dividend of 10.5 percent and is selling at RM56 per share. The common stock has a beta of 1.2 and sells for RM38 a share. The Treasury bill is yielding 3 percent and the return on the market is 12 percent. The corporate tax rate is 34 percent. What is Bystander’s weighted average cost of capital?
Day: April 26, 2018
1. Why is it necessary to know about time value of money concepts? Why can’t you just make judgments about future cash flows based purely on the size of the cash flows?
2. Define Future Value.
3. Define Present Value.
4. What are annuities?
5. (calculating future value) You buy an 8 year, 7% CD for $1,000. Interest is compounded annually. How much is it worth at maturity?
6. (calculating present value) What’s the present value of $10,000 to be received in 6 years? (Your required rate of return is 10% a year.)
7. (calculating the rate of return) A friend promises to pay you $500 three years from now if you loan him $400 today. What interest rate is your friend offering you?
8. (calculating the future value of an annuity) If you invest $100 a year for 20 years at 6% annual interest, how much will you have at the end of the 20th year?
9. (calculating the present value of an annuity) How much would you be willing to pay today for an investment that pays $700 a year at the end of the next 5 years? (Your required rate of return is 6% a year.)
10. (Rate of return of an annuity) You would like to have $1,000,000 40 years from now, but the most you can afford to invest each year is $1,000. What annual rate of return will you have to earn to reach your goal?
11. (Monthly compounding) If you bought a $1,000 face value CD that matured in six months, and which was advertised as paying 6% annual interest, compounded monthly, how much would you receive when you cashed in your CD at maturity?
12. (Annualizing a monthly rate) Your credit card statement says that you will be charged 1.03% interest a month on unpaid balances. What is the Effective Annual Rate (EAR) being charged?
13. (Monthly loan payment) Best Buy has a flat-screen HDTV on sale for $1,799. If you could borrow that amount from Carl’s Credit Union at 6% for 1 year, what would be your monthly loan payments?
14. (PV of a perpetuity) If your required rate of return was 6% a year, how much would you pay today for $100 a month forever? (that is, the stream of $100 monthly payments goes on forever, continuing to be paid to your heirs after your death)
15. (PV of an uneven cash flow stream) what is the PV of the following project?
(Assume r = 7%)
Year Cash Flow
1 $1,000
2 $2,000
3 $3,000
4 $4,000
16. (FV of an uneven cash flow stream) what is the FV at the end of year 4 of the following project?
(Assume r = 7%)
Year Cash Flow
1 $1,000
2 $2,000
3 $3,000
4 $4,000
17. Define the Capital Asset Pricing Model (CAPM).
18. Define “beta” as it applies to common stocks.
19. You have two stocks in your portfolio. $20,000 is invested in a stock with a beta of 0.6 and $40,000 is invested in a stock with a beta of 1.4. What is the beta of your portfolio?
20. If the risk-free rate is 2% and the expected rate of return on the stock market is 7%, what is the required rate of return on a stock with a beta of 1.4 according to the CAPM?
All answers should be in a single Excel file.
Show the step by step calculations how it was done and explained thoroughly by using excel:
1 If you deposit $15,000 today and earn 8% annual interest, how much will you have in 9 years?
Answer: $29,985.07
2 Tiffany will receive a graduation gift of $10,000 from her parents in 3 years. If the discount rate
is 7%, what is this gift worth today?
Answer: $8,162.98
3 What is the present value of a 20-year ordinary annuity of $30,000 using a 6% discount rate?
Answer: $344,097.64
4 You deposit $5,000 in an account that pays 8% interest per annum. How long will it take to double your money?
Answer: 9 years
5 The Johnsons have $60,000 to use as a down-payment on a house, and they want to borrow $240,000
from the bank. The current mortgage interest rate is 5%. If they make equal monthly payments for 30 years,
how much will the monthly payment be?
Answer: $1,288.37
6 Tim paid $250 per month into his 401K retirement plan. After 30 years, he had accumulated $500,000. What
average annual rate of interest had he earned over the 30 years?
Answer: 9.42%
7 Charlotte’s firm had sales of $525,000 in the year 2001. By 2012, sales had increased to $1,200,000. What was
the average annual rate of increase?
Answer: 7.80%
Bio Doc Corporation is a biotech company based in Milpitas. It makes a cancer-treatment drug in a single processing department. Direct materials are added at the start of the process. Conversion costs are added evenly during the process. Bio Doc uses the weighted-average method of process costing. The following information for July 2011 is available.
Physical Direct Conversion
Units Materials Costs
Work in process, July 1 8,500a 8,500 1,700
Started during July 35,000
Completed and transferred out during July
33,000 33,000 33,000
Work in process, July 31 10,500b 10,500 6,300
Degree of completion: direct materials, 100%; conversion costs, 20%.
Degree of completion: direct materials, 100%; conversion costs, 60%.
Total Costs for July 2008
Work in process, beginning $63,100
Direct materials 45,510
Conversion costs $108,610
Direct materials added during July 284,900
Conversion costs added during July 485,040
Total costs to account for $878,550
1. Calculate cost per equivalent unit for direct materials and conversion costs.
2. Summarize total costs to account for, and assign total costs to units completed (and transferred out) and to units in ending work in process.
Before there was Paris Hilton, there was Consuelo Vanderbilt Balsan – a Gilded Age heiress and socialite, re-nowned for her beauty and wealth. Now Ms. Balsan’s onetime Hamptons home is slated to hit the market priced at $28 million with Tim Davis of the Corcoran Group.
Located on Ox Pasture Road in Southampton, the shingle-style home was built around 1900 and is known as “Gardenside” or “Cara-Mia”. Ms. Balsan, the great-granddaughter of railroad magnate Cornelius Vanderbilt, owned the house until her death in 1964.
According to public records, the estate is owned by Robert G. Goldstein, executive vice president and president of global gaming operations at Las Vegas Sands Corp, and his wife Sheryl, who purchased the house in 2007 for $17.4 million.” (The Wall Street Journal, August 1, 2014, M2)
1. Calculate the annual compound growth rate of the house price during the period when the house was owned by Robert G. Goldstein (since 2007). (Round the number of years to the whole number).
2. Assume that the growth rate you calculated in question #1 remains the same for the next 20 years. Calculate the price of the house in 20 years.
3. Assume the growth rate that you calculated in #1 prevailed since 1900. Calculate the price of the house in 1900.
4. Assume the growth rate that you calculated in #1 prevailed since 1900. Which price was paid for the house in 1964?
5. You were using the time value of money concept to answer the question #3. What is the time point 0 is this problem?
Net Present Value Practice True false questions
1. The three common discounted cash flow methods are net present value, internal rate of return, and payback.
2. The net present value (NPV) method calculates the return on investment from a project by discounting all expected future cash inflows and outflows back to the present point in time using average cost of capital.
3. Internal rate of return is a method of calculating the expected gain or loss from a project by discounting all expected future cash inflows and outflows to the present point in time.
4. A capital budgeting project is accepted if the required rate of return equals or exceeds the internal rate of return.
5. The net present value method can be used in situations where the required rate of return varies over the life of the project.
6. The net present value method accurately assumes that project cash flows can only be reinvested at the discount rate used.
Question 1:
On 1 January 2012, Rose Tremayne opens a bank account in the name of her new trading business, Rose Tremayne Trading (RTT). She puts £112,000 of her own money into the business bank account. The following is a summary of transactions during 2012:
(1) RTT takes out a short-term bank loan of £45,000 cash.
(2) RTT buys non-current assets at the start of January at a cost of £72,000 paying cash.
(3) Buys inventory of £60,000, paying cash.
(4) Inventory costing £48,000 is sold on credit for £72,000.
(5) Purchases inventory on credit for £84,000.
(6) Inventory costing £6,000 is sold for £9,000 cash.
(7) RTT purchases a 12 month insurance policy on April 1 for £4,000 providing cover until March 31 2013.
(8) RTT purchases two lots of land for £60,000 (ie £30,000 per lot). The purchase price of £60,000 is paid after RTT takes out a ten year loan of £34,000.
(9) Sells one of the lots of land for £33,000 cash.
(10) RTT pays rent of £15,000 for the first nine months of 2012 but owes rent of £5,000 on 31 December 2012.
(11) Inventory costing £69 000 is sold for £103,000 cash.
(12) Wages for the period amounting to £30,000 are paid in full.
(13) RTT pays off £15,000 of its short term bank loan.
(14) RTT pays total interest of £4,000 for the long-term bank loan for 2012.
(15) Customers pay £30,000 of cash owing.
(16) RTT pays its trade creditors £48,000.
(17) The equipment purchased for £72,000 at the start of January has an expected useful life of four years and an expected scrap value of zero. Assume straight-line depreciation is to be charged on these assets.
Instructions:
(a) Prepare a balance sheet for RTT as at 31st December 2012.
(b) Prepare an income statement for RTT for 2012 and briefly comment on RTT’s performance during 2012.
(c) Prepare a cash flow statement for RTT for 2012.
All answers should be in a single Excel file.
Show the step by step calculations how it was done and explained thoroughly by using excel:
1 If you deposit $15,000 today and earn 8% annual interest, how much will you have in 9 years?
Answer: $29,985.07
2 Tiffany will receive a graduation gift of $10,000 from her parents in 3 years. If the discount rate
is 7%, what is this gift worth today?
Answer: $8,162.98
3 What is the present value of a 20-year ordinary annuity of $30,000 using a 6% discount rate?
Answer: $344,097.64
4 You deposit $5,000 in an account that pays 8% interest per annum. How long will it take to double your money?
Answer: 9 years
5 The Johnsons have $60,000 to use as a down-payment on a house, and they want to borrow $240,000
from the bank. The current mortgage interest rate is 5%. If they make equal monthly payments for 30 years,
how much will the monthly payment be?
Answer: $1,288.37
6 Tim paid $250 per month into his 401K retirement plan. After 30 years, he had accumulated $500,000. What
average annual rate of interest had he earned over the 30 years?
Answer: 9.42%
7 Charlotte’s firm had sales of $525,000 in the year 2001. By 2012, sales had increased to $1,200,000. What was
the average annual rate of increase?
Answer: 7.80%
All answers should be in a single Excel file.
Show the step by step calculations how it was done and explained thoroughly by using excel:
1 If you deposit $15,000 today and earn 8% annual interest, how much will you have in 9 years?
Answer: $29,985.07
2 Tiffany will receive a graduation gift of $10,000 from her parents in 3 years. If the discount rate
is 7%, what is this gift worth today?
Answer: $8,162.98
3 What is the present value of a 20-year ordinary annuity of $30,000 using a 6% discount rate?
Answer: $344,097.64
4 You deposit $5,000 in an account that pays 8% interest per annum. How long will it take to double your money?
Answer: 9 years
5 The Johnsons have $60,000 to use as a down-payment on a house, and they want to borrow $240,000
from the bank. The current mortgage interest rate is 5%. If they make equal monthly payments for 30 years,
how much will the monthly payment be?
Answer: $1,288.37
6 Tim paid $250 per month into his 401K retirement plan. After 30 years, he had accumulated $500,000. What
average annual rate of interest had he earned over the 30 years?
Answer: 9.42%
7 Charlotte’s firm had sales of $525,000 in the year 2001. By 2012, sales had increased to $1,200,000. What was
the average annual rate of increase?
Answer: 7.80%
Q1
Camel Industries is expected to pay an annual dividend of RM1.30 a share next month.
The market price of the stock is RM24.80 and the growth rate is 3 percent. What is the
firm’s cost of equity?
Q2
An investment promises the following cash flow stream: RM1,000 at Time 0; RM2,000 at the
end of Year 1 (or at T=1); RM3,000 at the end of Year 2; and RM5,000 at the end of Year 3.
At a discount rate of 5%, what is the present value of the cash flow stream?
Q3
Recently you invested in a 20-year asset that pays you RM100 at t = 1, RM500 at t = 2,
RM750 at t = 3, and some fixed cash flow, X, at the end of each of the remaining 17
years. You purchased the asset for RM5,544.87. Alternative investments of equal risk
have a required return of 9%. What is the annual cash flow received at the end of each
of the final 17 years, that is, what is X?
Q4
You deposit RM1,000 in a bank account that pays 6% nominal annual interest, compounded
monthly. How much will you have in your account after 3 years?
