1 answer

Find the duration o a 7% coupon bond makin annual coupon payments intermediate calculations. Round your...

Question:

Find the duration o a 7% coupon bond makin annual coupon payments intermediate calculations. Round your answers to 4 decimal places.) has three yeas unti matu it and a yield to maturity o 6 what is e duration r m e to maturity S 1 5 Not ound YTM 7.6% YTM 11.6% YTM Duration

Find the duration o a 7% coupon bond makin annual coupon payments intermediate calculations. Round your answers to 4 decimal places.) has three yeas unti matu it and a yield to maturity o 6 what is e duration r m e to maturity S 1 5 Not ound YTM 7.6% YTM 11.6% YTM Duration

Answers

Assume par value of the coupon = $1,000
Calculation of Annual Coupon Payments
Par value of the bond issued is   = $1,000
Annual Coupon % 7.00%
Annual Coupon Amount $70.00
Semi Annual Coupon Amount $35.00
Caclulation of the duration of the Bonds IF the YTM is 7.6% YTM
Market rate of interest or Yield to Maturity or Required Return = 7.6%
Bonds interest is paid semi annualy means so discounting factor = 7.6 % /2= 3.8 %
Caclulation of the duration of the Bond
Period (A) Cash Flow (B) Period X Cash Flow (AXB= C) PV of $ 1 at 3.8% (D) Present Value of the Cash Flow (CXD)
1 $35.00 $35                    0.96339 $33.72
2 $35.00 $70                    0.92812 $64.97
3 $35.00 $105                    0.89414 $93.89
4 $35.00 $140                    0.86141 $120.60
5 $35.00 $175                    0.82988 $145.23
6 $35.00 $210                    0.79950 $167.89
6 $1,000 $6,000                    0.79950 $4,796.97
$5,423.26
Duration = $5,423.26
Divide By = "/"By
Par Value = 1000
Duration = 5.4233
Answer = Duration of the Bonds = 5.4233
Caclulation of the duration of the Bonds IF the YTM is 11.6% YTM
Market rate of interest or Yield to Maturity or Required Return = 11.6%
Bonds interest is paid semi annualy means so discounting factor = 11.6 % /2= 5.8 %
Caclulation of the duration of the Bond
Period (A) Cash Flow (B) Period X Cash Flow (AXB= C) PV of $ 1 at 5.8% (D) Present Value of the Cash Flow (CXD)
1 $35.00 $35                    0.94518 $33.08
2 $35.00 $70                    0.89336 $62.54
3 $35.00 $105                    0.84439 $88.66
4 $35.00 $140                    0.79810 $111.73
5 $35.00 $175                    0.75435 $132.01
6 $35.00 $210                    0.71299 $149.73
6 $1,000 $6,000                    0.71299 $4,277.97
$4,855.72
Duration = $4,855.72
Divide By = "/"By
Par Value = $1,000
Duration = 4.8557
.

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