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Boston University *

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132

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Finance

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Jan 9, 2024

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1. What is the coupon rate of a ten-year $4,000 bond with quarterly coupons and a price of $3800 if it has a YTM of 5.4% (APR)? 1.187% F: 4.75% A: 4.75 2. Mountain Bike Wilderness Supply is expected to pay a dividend of $1.75 in one year and a dividend of $2 in 2 years. In 2 years, the stock is expected to sell for $80 right after it pays the $2 dividend. If MBWS’s equity cost of capital is 14%, what price would you expect to pay for a share of the stock today? $64.63 F: 64.63 A: 64.63 3. Last year, Stylish Masks Inc (SMI) earned $18 per share and reinvested all of its earnings in the company. SMI expects earnings to grow at 20% for the next 3 years. At the end of year 3, SMI will distribute 30% of the year 3 earnings to investors. What do you expect the year 3 dividends to be? F: 9.33 A: 9.33 4. Charles River Kayak’s stock price is expected to be $85 in one year immediately after paying a dividend of $4.15. If it’s equity cost of capital is 14%, what is the expected capital gain in dollars if you sell the stock one year from today immediately after receiving the dividend? $6.80 F: 10.95 - 4.15 = 6.80 A: 6.79 5. JII is expected to pay the following dividends: $4 dividend at the end of Year 2 $5 dividend at the end of Year 3 $9 dividend at the end of Year 4 After year 4, dividends are expected to grow at 6% forever. If JII’s equity cost of capital is 16%, what would you expect to pay for the stock today? A: 63.84
6. QPT is expected to pay a $15 dividend in one year. What is the expected capital gain rate for the first year if you expect QTP’s dividend to grow by 3% per year forever and the equity cost of capital is 9%? F: 94% ? A: 3% 7. An investor bought a zero-coupon bond with $1000 face value and a ten year maturity for $630.35. She sold it after 6 years. If the YTM when she sold it was 7.1%, what price did she sell it for? F: 760.05 A: 760.05 8. Rating AAA AA A BBB Yield 0.80% 1.60% 2.20% 3.20% Given the table above which shows the typical yields for 5 year bonds of varying credit ratings, what is the most likely credit rating of your company if your 5-year, semiannual bonds with a face value of $5,000 and a coupon rate of 5% are trading at a price of $5,412.81? BBB F: BBB A: BBB 9. SPI has a current stock price of $17 and is expected to trade for $19 in 1 year. If SPI’s equity cost of capital is 18%, what is its expected dividend in 1 year? 1.06 F: 1.06 A: 1.06 10. VDC is expected to have EPS of $16.40 next year and to pay 18% of its earnings as a dividend at the end of the year (1 year from today). If VDC has a 14% equity cost of capital and you expect its share price in 1 year to be $95 after paying the dividend, what would you be willing to pay for a share of stock today? F: 85.92 A: 85.92
11. IBA has 10,000,000 shares outstanding and a market capitalization of $475,000,000. What is IBA’s equity cost of capital if you expect the share price in one year to be $52 after paying a dividend of $3.50? F: 9.47% A: 16.8% 12. What’s the YTM of a 10 year $1000 bond with a 6.8% semi-annual coupon that is currently trading for $1040? F: 6.26% A: 6.25% 13. A $10,000 bond with semi-annual coupons was originally issued with a 5.4% coupon and ten years to maturity. What must the price of the bond be if there are 7 years remaining to maturity and a yield to maturity of 6% APR? F: 981.31 A: 9661.11 14. SM has 10,000 shares outstanding and is expected to have Net Income of $85,000 in year 1. SM expects to retain 20% of its earnings to invest in projects at the end of year 1. If the expected share price 1 year from today after any dividend issued is $65 and SM’s return on equity capital is 16%, what would you expect the share price to be today? A: 61.89 15. BIBR had a share price at the start of the year of $64.00 and paid a dividend of $7.00 at the end of the year. If BIBR has an equity cost of capital of 14%, what price would you expect to pay for a share of stock just after it pays the dividend at the end of the year? F: 58.96 A: 65.96 16. 3 years ago, you purchased a $8,000 bond with 3% annual coupon payments for $7769. If the current YTM is 3%, what price would you expect to sell it for today? Check this F: 7747.58 A: 8000 17. A bond with a $100 par value and semi-annual compounding was originally issued with a 4% coupon and ten years to maturity. If it is currently trading for $87.53 and has a 7% APR yield to maturity, the time left to maturity must be closest to:
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F: 5 A: 5 18. BITE has a $100 face value bond with a 5.2% coupon rate, paid quarterly. If the bond’s current yield to maturity is 4.8%, which is true? A) The bond price is less than $100. B) You would need to know the maturity to determine. C) The bond price is $100. D) The bond price is greater than $100. F: D A: D 19. Consider the following Year 1 information for Terrier Treats (T2) Revenues $10,000 Total Expense including taxes $7,500 Total Shares Outstanding 100 Stock Price at the end of year 1 54.00 If T2 cost of equity is 15% and the current stock price is $50, what is the dividend payout ratio? A: 14% 20. You are considering investing in either a 10 year bond with a 2% coupon rate and a 6 year bond with a 5% coupon. Assume that both bonds have equal credit risk and assume that your goal is to increase the value of your investments. If you expect a 0.65% increase in interest rates, which bond would you rather be holding? A) Prefer the 5% cpn bond because the maturity is shorter and the coupon rate is higher. B) Can’t be solved because the YTM for each bond is not given. C) Prefer the 2% coupon bond because the maturity is longer and the coupon rate is lower. D) Can’t be solved because the prices are not given. F: A A:A