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Furkat [3]
3 years ago
8

Op corporation's 5-year bonds yield 6.50%, and t-bonds with the same maturity yield 4.40%. the default risk premium for kop's bo

nds is drp = 0.40%, the liquidity premium on kop's bonds is lp = 1.70% versus zero on t-bonds, the inflation premium (ip) is 1.50%, and the maturity risk premium (mrp) on 5-year bonds is 0.40%. what is the real risk-free rate, r*?
Business
2 answers:
cluponka [151]3 years ago
8 0
<span>The yield on a company's bonds, r is given by: r = r* + drp + lp + ip + mrp For Kop's bonds, r = 6.5%, drp = 0.4%, lp = 1.7%, ip = 1.5% and mrp = 0.4%. Therefore, r* = 2.5%</span>
Step2247 [10]3 years ago
7 0

<u>The risk-free rate is 2.5% </u>

<u> </u>

Further Explanation:

Risk-free rate: It refers to the an of return that can be earned by the financial instrument which has no default risk.

Calculate the risk free rate:  

Default risk premium (D) = 0.4 %

Liquidity premium (L)   = 1.7%

Inflation premium (I)   = 1.5%

Maturity risk premium (P) = 0.4%

Risk free rate = r

Yield on bond = r + D + L + I + P

             6.5% = r + 0.4 % + 1.7% + 1.5% + 0.4%

                    r = 6.5% - 4%

                   r = 2.5%

<u>Thus, the risk-free rate is 2.5% </u>

Learn more:

1. Learn more about change in Risk-free value of an investment

brainly.com/question/5959656

2. Learn more about interest on bonds

brainly.com/question/1166113

3. Learn more about the trade-off

brainly.com/question/8677367

Answer details:

Grade: High School

Subject: Financial Management

Chapter: Risk and Return

Keywords: Op corporation's 5-year bonds yield 6.50%, and t-bonds with the same maturity yield 4.40%. The default risk premium for kop's bonds is 0.40%, the liquidity premium on kop's bonds is 1.70% versus zero on t-bonds, the inflation premium is 1.50%, and the maturity risk premium on 5-year bonds is 0.40%. The real risk-free rate, financial management, risk and return, bond rate, Yield on bond.

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1.1 Inflow (Coupon payment ) = $1000 * 7.5% = $75

  Year     Inflows    Pvf at 5%     Present value

      1            75        0.952381     71.43

      2            75       0.907029    68.03

      3            75       0.863838     64.79

      4            75       0.822702     61.70

      4           1000    0.822702     822.70

   Total                                       1,088.65

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1.2   Year     Inflows    Pvf at 5.2%     Present value

           1            75          0.95057           71.29

          2            75          0.9035839        67.77

          3            75          0.85892             64.42

          4            75          0.816464            61.23  

          4          1000        0.816464            816.46

Total                                                           1,081.18

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1.3  Change in price of Bond = (Decrease in price of bond / price of bond ) * 100

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1.4   Year    Inflows    Pvf at 5%       P. value    Year*P. value

        1          75          0.9523809    71.43            71.43

        2         75          0.907029       68.03           136.05

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        4        1000       0.822702       822.70         3,290.81

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1.5 % Change in price of bond = (-1 * Modified duration * % change in YTM in term of basis point)

= ( -1 * 3.446 * 0.2)

= -0.69 %

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