Spring 2021 Final Exam XXXXXXXXXXFIN 200 Problem 1 (20 Points) A bond is maturing in 7 years and paying annual coupons of 5% If the annual required rate of return is 4%, compute: 1. The PV of the...

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Answered Same DayMay 19, 2021FIN350Charles Sturt University

Answer To: Spring 2021 Final Exam XXXXXXXXXXFIN 200 Problem 1 (20 Points) A bond is maturing in 7 years and...

Akshay Kumar answered on May 19 2021
145 Votes
Problem 1
    Given
    Par Value    1000
    Annual Coupon    Coupon Rate*Par Value    5%*1000    50
    Number of Years    7
    Required Rate of Return    4%
    1. PV of Bond
    Years    Amount (Coupon/Par Value    Discounting Factors @ 4%    PV
    1    50    0.96    48.08
    2    50    0.92    46.23
    3    50    0.89    44.45
    4    50    0.85    42.74
    5    50    0.82    41.10
    6    50    0.79    39.52
    7    50    0.76    38.00
    7    1000    0.76    759.92
    Total            1,060.02
    Thus, PV of Bond is 1060.02
    2. Duration of Bonds         1
    Years    Amount (Coupon/Par Value)    Discounting Factors @ 4%    PV    Weight PV
    1    50    0.96    48.08    48.08
    2    50    0.92    46.23    92.46
    3    50    0.89    44.45    133.35
    4    50    0.85    42.74    170.96
    5    50    0.82    41.10    205.48
    6    50    0.79    39.52    237.09
    7    50    0.76    38.00    265.97
    7    1000    0.76    759.92    5,319.42
    Total            1,060.02    6,472.81
    Duration of Bonds    Weighted PV / PV
        6472.81/1060.02
        6.11
    Duration of Bonds is 6.11 years
    3. The modified duration (volatility)    Duration of Bonds/(1+r)
        6.11/(1+4%)
        5.88
    The modified duration (volatility) is 5.88 years
    4. Interpret your result in question 3
    Modified duration helps in measuring the sensitivity of price of bond with respect to change in YTM of Bond.
    Change In price of Bond =-Modified Duration *Change in YTM*Price
Problem 2
    Given
    Face Value    1.000$;
    Semiannual dividends    35$;
    Annual Interest rate    5%
    Number of Years    4
    Number of Periods    4*2    8
    Semiannual...
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