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A Best Buy bond has a $1,000 par value, a 3% semiannual coupon rate, 5 full year

ID: 2739984 • Letter: A

Question

A Best Buy bond has a $1,000 par value, a 3% semiannual coupon rate, 5 full years remaining to maturity, and semiannual interest payments.

1. Currently your money is invested in a portfolio that generates return at the rate of 10% per year, compounded semiannually. What maximum current market price of the bond are you willing to pay? a. $845.57 b. $913.41 c. $1,000.00 d. $875.38

2. If you purchased the bond today for $980. What is the nominal annual Yield to Maturity? a. 4.98% b. 5.26% c. 6.00% d. 6.47%

3. If you purchased the bond today for $980, what is the NOMINAL annual current yield? a. 3.61% b. 6.12% c. 5.22% d. 6.00%

Explanation / Answer

Answer:

So, maximum value can be paid is 845.57, so answer is option a

Answer 2:

If you purchase bond at 980 at current price than implied discount rate is 6.47%, which can be confirmed with following calculations

So, answer is option D

Answer 3

current yield of bond = cupon interest /market price = 60/980 = 0.0612 = 6.12%, so answer is option B

Present value of bond semi annual period Cashflow Present value fator @ 5% Present value of cashflows 1 $                                                                                  30.00 0.952381 $        28.57 2 $                                                                                  30.00 0.907029 $        27.21 3 $                                                                                  30.00 0.863838 $        25.92 4 $                                                                                  30.00 0.822702 $        24.68 5 $                                                                                  30.00 0.783526 $        23.51 6 $                                                                                  30.00 0.746215 $        22.39 7 $                                                                                  30.00 0.710681 $        21.32 8 $                                                                                  30.00 0.676839 $        20.31 9 $                                                                                  30.00 0.644609 $        19.34 10 $                                                                                  30.00 0.613913 $        18.42 10 $                                                                            1,000.00 0.613913 $     613.91 Total present value of bond $     845.57
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