HW FIN 3331 Chapter 9 9.1. Warr Corporation just paid a dividend of $1.50 a share (that is, D0 = $1.50). The dividend is expected to grow 7% a year for 3 years and then at 5% a year thereafter. What is the expected dividend per share for each of the next 5 years? D0 = $1.50; g1-3 = 7%; gn = 5%; D1 through D5 = ? D1 = D0(1 + g1) = $1.50(1.07) = $1.6050. D2 = D0(1 + g1)(1 + g2) = $1.50(1.07)2 = $1.7174. D3 = D0(1 + g1)(1 + g2)(1 + g3) = $1.50(1.07)3 = $1.8376. D4 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn) = $1.50(1.07)3(1.05) = $1.9294. D5 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn)2 = $1.50(1.07)3(1.05)2 = $2.0259. 9.2. Thomas Brothers is expected to pay $0.50 per share dividend at the end of the year (that is, D1 = $0.50). The dividend is expected …show more content…
Chapter 7 7.1 Callaghan Motors bonds have 10 years remaining to maturity.Interest is paid annually, they have a 1000 par value, the coupon interest rate is 8%, and the yeild to maturity is 9%. What is the bond's current market price? Solution: PV factor of sum = (1+i)^-n = (1+9%)^-10 =1.09^-10 = 0.4224 PV factor of annuity = 1 - (1+i)^-n / i = 1 - (1+9%)^-10 / 9% = 1 - 0.4224 / 9% = 0.5775 / 9% = 6.417 = PV factor of Sum * Par Value + PV factor of annuity * coupon payment = 0.4224 * 1,000 + 6.417 * 80 = 422.4 + 513.3 = 935.76 7.3 Callaghan Motors’ bonds have 10 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 8%. The bonds have a yield to maturity of 9%. What is the current market price of these bonds? Given: TTM = 10 years Par = $1,000 C = 8% ($80) YTM = 9% Price = ? Formula: Using Finance Functions on 12c: n = 10 i = 9(%) PMT = 80 FV = 1000 PV = solve PV = $935.82 P4-2 Wilson Wonders’ bonds have 12 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 10%. e bonds sell at a price of $850. What is their yield to maturity? Given: TTM = 12 years Par = $1,000 C = 10% ($100) Price = $850 YTM = solve Formula: Using Finance Functions on 12c: n = 12 PMT = 100 PV = -850 PMT = 100 i = solve i = 12.4751% Current Market Price = $935.82 Chapter 5 5.1. If you deposit $10,000 in
1. To begin, assume that it is now January 1, 1993, and that each bond in Table 1 matures on December 31 of the year listed. Further, assumes that each bond has $1,000 par value, each had a 30-year maturity when it was issued, and the bonds currently have a 10 percent required nominal rate or return.
At what price will the bonds issue? (Do not round PV factors. Round your answer to the nearest dollar amount. Omit the "$" sign in your
D0 = (dividend yield) × (value of the index) = 0.0615 × $865 = $53.20 . (21)
FVN = FV1= PV × (1 +I)N = $500 x (1 + 0.08) = $500 x 1.08 = $540
The present value of an outlay in perpetuity for a particular project can be calculated as follows:
Dividends were assumed to grow at the geometric average of the last 6 years, 20.28%. P0 = D2 Dn Pn D1 + + ··· + + 1 2 n (1 + Ke ) (1 + Ke ) (1 + Ke ) (1 + Ke )n $1.58 $2.28 $87.31 $1.31 + + ··· + + = 1 2 4 (1 + 7.0%) (1 + 7.0%) (1 + 7.0%) (1 + 7.0%)4 = $72.53
The bonds have 20 years to maturity, pay interest at 9.3%, have a par value of $1,000 and are currently selling for $890.
RE = D1/P0 + g = (D0 (1 + g))/P0 + g RE = 11.46%
5. P = $40({1 – [1/(1 + .03)]26 } / .03) + $1,000[1 / (1 + .03)26]
2. The discount rate for this bond would be 0.70%. I started with an appropriate discount rate to derive my bond purchase price, since I would not purchase a bond without finding out ahead of time what a good price should be.
Through this method, we obtained theoretical yields of the 4.25% coupon bond and 10.625% coupon bond to be 2.899% and 2.639% respectively. The corresponding theoretical prices of the bonds are $108.27 for the 4.25% coupon bond and $149.31 for the 10.625% coupon bond (see Table 1 above).
In this case, to get the present value (PV), we can use the formula of growing annuity.
2. You manage a portfolio for Ms. Greenspan, who has instructed you to be sure her portfolio has a value of at least $350,000 at the end of six years. The current value of Ms. Greenspan 's portfolio is $250,000. You can invest the money at a current interest rate
First we need to get the present value of the annuity for the 1,500 semiannual PMTs at year 14
3. A european corporation has issued bonds with a par value of Sfr 1,000 and an annual coupon of 5 percent. The last coupon on these bonds was paid four months ago, and their current clean price is 90 percent.