Business Finance Midterm 2 Study Guide (Math Problems)

You are borrowing money to buy a car. If you can make payments of $320 per month starting one month from now at an interest rate of 12%, how much will you be able to borrow for the car today if you finance the amount over 4 years? A) $7291.00 B) $12,151.67 C) $14,582.00 D) $17,012.34

$12,151.67

Matthew wants to take out a loan to buy a car. He calculates that he can make repayments of $5000 per year. If he can get a four-year loan with an interest rate of 7.9 %, what is the maximum price he can pay for the car? A) $19,918 B) $26,557 C) $23,237 D) $16,598

$16,598

Dan buys a property for $210,000 . He is offered a 30 -year loan by the bank, at an interest rate of 8 % per year. What is the annual loan payment Dan must make? A) $26,115.26 B) $18,653.76 C) $29,846.02 D) $22,384.51

$18,653.76

JRN Enterprises just announced that it plans to cut its dividend from $3.00 to $1.50 per share and use the extra funds to expand its operations. Prior to this announcement, JRN's dividends were expected to grow indefinitely at 4% per year and JRN's stock was trading at $25.50 per share. With the new expansion, JRN's dividends are expected to grow at 8 % per year indefinitely. Assuming that JRN's risk is unchanged by the expansion, the value of a share of JRN after the announcement is closest to ________. A) $25.50 B) $19.32 C) $38.63 D) $12.75

$19.32

Two years ago you purchased a new SUV. You financed your SUV for 60 months (with payments made at the end of the month) with a loan at 5.95 % APR. Your monthly payments are $386.19 and you have just made your 24th monthly payment on your SUV. The amount of your original loan is closest to ________. A) $20,000 B) $22,000 C) $24,000 D) $28,000

$20,000

Martin wants to provide money in his will for an annual bequest to whichever of his living relatives is oldest. That bequest will provide $4000 in the first year, and will grow by 7% per year, forever. If the interest rate is 9 %, how much must Martin provide to fund this bequest? A) $200,000.00 B) $240,000.00 C) $160,000.00 D) $100,000.00

$200,000

Sinclair Pharmaceuticals, a small drug company, develops a vaccine that will protect against Helicobacter pylori , a bacteria that is the cause of a number of diseases of the stomach. It is expected that Sinclair Pharmaceuticals will experience extremely high growth over the next three years and will reinvest all of its earnings in expanding the company over this time. Earnings were $1.10 per share before the development of the vaccine and are expected to grow by 40% per year for the next three years. After this time, it is expected that growth will drop to 5 % and stay there for the expected future. Four years from now Sinclair will pay dividends that are 75% of its earnings. If its equity cost of capital is 12%, what is the value of a share of Sinclair Pharmaceuticals today? A) $20.62 B) $33.96 C) $33.51 D) $24.17

$24.17

Clarissa wants to fund a growing perpetuity that will pay $10,000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to grow by 5 % per year. Given that the interest rate is 9 %, how much does she need to fund this perpetuity? A) $250,000.00 B) $125,000.00 C) $300,000.00 D) $200,000.00

$250,000

You are considering purchasing a new home. You will need to borrow $290,000 to purchase the home. A mortgage company offers you a 20 -year fixed rate mortgage (240 months) at 12% APR (1% month). If you borrow the money from this mortgage company, your monthly mortgage payment will be closest to ________. A) $4470 B) $5109 C) $3193 D) $2554

$3193

What is the present value (PV) of an investment that pays $100,000 every year for four years if the interest rate is 5% APR, compounded quarterly? A) $424,581 B) $459,963 C)$353,818 D) 389,200

$353,818

Since your first birthday, your grandparents have been depositing $1200 into a savings account on every one of your birthdays. The account pays 6 % interest annually. Immediately after your grandparents make the deposit on your 18th birthday, the amount of money in your savings account will be closest to ________. A) $44,504.14 B) $22,252.07 C) $37,086.78 D) $51,921.49

$37,086.78

What is the coupon payment of a 15 -year $10,000 bond with a 9 % coupon rate with semiannual payments? A) $1800.00 B) $150.00 C) $450.00 D) $900.00

$450

Sunnyfax Publishing pays out all its earnings and has a share price of $37. In order to expand, Sunnyfax Publishing decides to cut its dividend from $3.00 to $2.00 per share and reinvest the retained funds. Once the funds are reinvested, they are expected to grow at a rate of 13 %. If the reinvestment does not affect Sunnyfax's equity cost of capital, what is the expected share price as a consequence of this decision? A) $62.86 B) $36.67 C) $52.38 D) $41.90

$52.38

Since your first birthday, your grandparents have been depositing $100 into a savings account every month. The account pays 9 % interest annually. Immediately after your grandparents make the deposit on your 18th birthday, the amount of money in your savings account will be closest to ________. A) $64,362 B) $75,089 C) $32,181 D) $53,635

$53,635

Sultan Services has 1.2 million shares outstanding. It expects earnings at the end of the year of $6.0 million. Sultan pays out 60% of its earnings in total: 40% paid out as dividends and 20% used to repurchase shares. If Sultan's earnings are expected to grow by 5 % per year, these payout rates do not change, and Sultan's equity cost of capital is 10 %, what is Sultan's share price? A) $60.00 B) $24.00 C) $36.00 D) $12.00

$60.00

Chittenden Enterprises has 643 million shares outstanding. It expects earnings at the end of the year to be $960 million. The firm's equity cost of capital is 9 %. Chittenden pays out 30% of its earnings in total: 20% paid out as dividends and 10% used to repurchase shares. If Chittenden's earnings are expected to grow at a constant 3 % per year, what is Chittenden's share price? A) $2.24 B) $7.47 C) $3.74 D) $14.94

$7.47

A company has stock which costs $41.50 per share and pays a dividend of $2.50 per share this year. The company's cost of equity is 7%. What is the expected annual growth rate of the company's dividends? A) 1.96% B) 3.92% C) 0.98% D) 2.94%

.98%

The Busby Corporation had a share price at the start of the year of $26.10 , paid a dividend of $0.59 at the end of the year, and had a share price of $29.50 at the end of the year. Which of the following is closest to the rate of return of investments in companies with equal risk to The Busby Corporation for this period? A) 12% B) 13% C) 15% D) 14%

15%

A bank is negotiating a loan. The loan can either be paid off as a lump sum of $80,000 at the end of four years, or as equal annual payments at the end of each of the next four years. If the interest rate on the loan is 6%, what annual payments should be made so that both forms of payment are equivalent? A) $29,259 B) $25,602 C) $14,630 D) $18,287

18,287

What is the internal rate of return (IRR) of an investment that requires an initial investment of $11,000 today and pays $15,400 in one year's time? A) 37% B) 43% C) 44% D) 40%

40%

Luther Industries has a dividend yield of 4.5 % and a cost of equity capital of 10 %. Luther Industries' dividends are expected to grow at a constant rate indefinitely. The growth rate of Luther's dividends is closest to ________. A) 5.5% B) 5.0% C) 11.0% D) 14.5%

5.5%

You are considering investing in a zero-coupon bond that will pay you its face value of $1000 in twelve years. If the bond is currently selling for $496.97, then the internal rate of return (IRR) for investing in this bond is closest to ________. A) 6.0% B) 8.2% C) 7.1% D) 5.0%

6.0%

What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $10,000 face value and a price of $9400 when released? A) 6.000% B) 6.383% C) 0.009% D) 3.191%

6.383%

The Sisyphean Company has a bond outstanding with a face value of $1000 that reaches maturity in five years. The bond certificate indicates that the stated coupon rate for this bond is 8.5 % and that the coupon payments are to be made semiannually. Assuming that this bond trades for $1081.73 , then the YTM for this bond is closest to ________. A) 7.87% B) 5.2% C) 9.18% D) 6.56%

6.56%

What is the real interest rate given a nominal rate of 8.9 % and an inflation rate of 1.9 %? A) 8.2% B) 6.9% C) 9.6% D) 11.0%

6.9%

You expect KT industries (KTI) will have earnings per share of $5 this year and expect that they will pay out $1.25 of these earnings to shareholders in the form of a dividend. KTI's return on new investments is 13 % and their equity cost of capital is 15 %. The expected growth rate for KTI's dividends is closest to ________. A) 3.9% B) 5.9% C) 9.8% D) 11.3%

9.8%

The Sisyphean Company has a bond outstanding with a face value of $5000 that reaches maturity in 8 years. The bond certificate indicates that the stated coupon rate for this bond is 8.2% and that the coupon payments are to be made semiannually. Assuming that this bond trades for $4541.53 , then the YTM for this bond is closest to ________. A) 7.9% B) 9.9% C) 13.8% D) 11.9%

9.9%

If the yield to maturity of all of the following bonds is 6 %, which will trade at the greatest premium per $100 face value? A) a bond with a $1,000 face value, five years to maturity and 6.3 % annual coupon payments B) a bond with a $10,000 face value, four years to maturity and 6.2% semiannual coupon payments C) a bond with a $5,000 face value, seven years to maturity and 5.5 % annual coupon payments D) a bond with a $500 face value, seven years to maturity and 5.2% annual coupon payments

a bond with a $1,000 face value, five years to maturity and 6.3 % annual coupon payments

The Sisyphean Company has a bond outstanding with a face value of $1000 that reaches maturity in 5 years. The bond certificate indicates that the stated coupon rate for this bond is 10.0 % and that the coupon payments are to be made semiannually. Assuming the appropriate YTM on the Sisyphean bond is 7.5 %, then this bond will trade at ________. A) a discount B) a premium C) par D) none of the above

a premium

Which of the following risk-free, zero-coupon bonds could be bought for the lowest price? A) one with a face value of $1,000, a YTM of 4.8%, and 5 years to maturity B) one with a face value of $1,000, a YTM of 5.9%, and 20 years to maturity C) one with a face value of $1,000, a YTM of 3.2%, and 8 years to maturity D) one with a face value of $1,000, a YTM of 6.8%, and 10 years to maturity

one with a face value of $1,000, a YTM of 5.9%, and 20 years to maturity