Q1:
Value of equity E =share price*no of shares =116*1 million =116 million
Value of debt D=no of bonds * bond price =50000*1250 = 62.5 million
Total value V= 116+62.5 =178.5
Proportion of equity = E/V =116/178.5 =64.98%
Proportion of Debt =D/V= 62.5/178.5 =35.01%
Q2:
cost of equity = risk free rate+ beta*market risk premium
=2.5+2.8*7 =22.1%
Q3:
cost of debt =YTM=10.9%
cost of debt is the YTM of the bond which can be calculated as below;
Bond cashflows | |||||||||||||||||||||||||||||||||||||||||
Years | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
Price | 1250 | ||||||||||||||||||||||||||||||||||||||||
Coupon payment | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
Par value | 1000 | ||||||||||||||||||||||||||||||||||||||||
Total cashflows | -1250 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 1070 |
IRR | 5.45% | ||||||||||||||||||||||||||||||||||||||||
YTM= 2*IRR | 10.90% | ||||||||||||||||||||||||||||||||||||||||
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