Consider a company that can invest capital to generate revenue and assume that the marginal revenue from the first five units of capital is as follows: 1st has MR 2.25, 2nd has MR 1.75, 3rd has MR 1.40, 4th has MR 1.24 and 5th has MR 1.17. If the interest rate is given at 20%, what is the optimal amount of capital for the company to borrow? 2 3 4 5
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- The sole proprietor of the FM2 Financial Services, Bondo, receives allaccounting profits earned by her firm and a K28,000-a-year salary she pays herself. Itis noteworthy that she also has a standing salary offer of K35,000 a year if she agreesto work for Bank of Zambia. If she had invested her capital outside her own company,she estimates that would have made a return of K22,000 a year. Further, informationhas reached you that last year, Bondo’s accounting profit was K50,000. Calculate hereconomic profit?Which of the following investment options willmaximize your future wealth at the end of 18 years?Assume any funds that remain invested will earn anominal rate of 12% compounded monthly.(a) Deposit $8,000 now.(b) Deposit $120 at the end of each month for thefirst 12 years.(c) Deposit $105 at the end of each month for 18years.(d) Deposit a lump sum in the amount of $35,000 atthe end of year 12.A 10-year government coupon bond has a face value of $1,000 and a coupon rate of 5% paid annually. Assume that the interest rate is 6% per year. What is the bond’s PV? (You can sum the PVs for each of the coupon payments and the final $1,000, or you can use the annuity formula in the text (at p. 103) to save some work.)
- Suppose a bank offers you the following two year, non-cashable GICs (i.e., withdrawals are not allowed). The first one pays a monthly rate of return 0.245%, the second one pays a semi-annual rate of return of 1.47% and the third one a return of 2.75% for the first year and 3.25% for the second year. All interest payments are reinvested.(a) Which investment would you prefer?(b) Suppose you expect that interest rates decline to 3% after the first year. How does your answer change, if the two year GIC pays out the first interest payment (but not the principal) at the end of the first year?Suppose that you purchase a 2 year coupon bond at the time it is issued for $1100. The face value of the bond is $1000, with annual coupon payments of $80. a. What is the bond’s “coupon rate”? b. What is the bond’s “current yield”? c. What is the bond’s (nominal) “yield to maturity”? d. If you hold the bond for 1 year and sell it for $1035 (after collecting the first coupon payment), what is your “holding period rate of return”? Please answer all part otherwise DounvoteConsider price quotes and characteristics for two different bonds:Bond A Bond BCoupon Payment Annual AnnualMaturity 3 years 3 yearsCoupon Rate 10% 6%Yield to Maturity 10.65% 10.75%Price 98.40 88.34At the same time, you observe the spot rates for the next three years:Term Spot (Zero-Coupon) Rates1 year 5%2 years 8%3 years 11%Demonstrate whether the price for either of these bonds is consistent with the quotedspot rates. Under these conditions, recommend whether Bond A or Bond B appears tobe the better purchase.
- Carnes Cosmetics Co.'s stock price is $60, and it recently paid a $1.25 dividend. This dividend is expected to grow by 27% for the next 3 years, then grow forever at a constant rate, g; and rs = 14%. At what constant rate is the stock expected to grow after Year 3? Do not round intermediate calculations. Round your answer to two decimal places.Consider a bond with a face value of $2,136 that pays a coupon of $100 for 10 years. Suppose the bond is purchased at $400, and can be resold next year for $450. What is the rate of return of the bond? a. 1.125% b. 1.375% c. 25% d. 37.5%Suppose Ted deposits $10,000 in a savings plan earning 5% compounded annually and Tess deposits $10,000 ina savings plan earning 10% compounded annually. Both leave their money on deposit for 40 years. Because Tess’srate is twice as great as Ted’s rate, is it true that Tess will earn twice as much interest? Explain why or why not.Then show calculations to prove your point of view. What is the future value for each investment? N i PV PMT FV 5 10
- The Rosy company, is planning to start an egg packing factory in the country of Bevery. The initial investment for the egg packing factory is $5Million and it will generate net revenues for every year for the next 10 years starting as $1M in the first year, and increasing by $0.5Million every year (e.g, 1M, 1.5M, 2M, 2.5M...). Currently £1 is equal to $20. However, the $ is being devalued (losing value) against the £ by 12% every year (so next year £1 will be $22.4 ). If Rosy company has a MARR of 30% in Bevery, what is the PW of this egg packing factory in £?Suppose you purchased a corporate bond with a 10-year maturity, a $1,000 par value, a 9% coupon rate ($45 interest payment every six months), and semiannual interest payments. Five years after the bonds were purchased, the going rate of interest on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (five years after the purchase)?(a) P = $890(b) p = $1,223(c) P = $1,090(d) p = $1,128When Andrew was 10 years old, his mother invested $50,000 to use for his college education seven years later. After seven years, how much money did Andrew have if the interest rate was 2 percent a year? A. $57,434.28 B. $50,357.00 C. $50,000.00 D. $43,528.01