Consider a two-period coupon bond with face value $M = 100$, recovery rate $\alpha = 0.5$, per period coupon rate $c = 10\%$, and survival rate $\lambda = 0.9$. If the risk-free rate per period is $5\%$, what is the bond price now?\n$P = \frac{9+5.5}{1+5\%} + \frac{89.1+4.95}{(1+5\%)^2} = 99.116$
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The present value of the coupons can be calculated using the formula: PV(coupons) = c * M * 1 + c * M * a PV(coupons) = 0.10 * 100 * 0.9 + 0.10 * 100 * 0.5 PV(coupons) = 9 + 5 PV(coupons) = 14 The present value of the face value can be calculated using the Show more…
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