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Chapter 6 Chapter 6

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49<br />

(a) Let YTM = r<br />

260(1+r) 8 = 1000<br />

(1+r) 8 = 3.8462<br />

1+r = 1.1834 r = 18.34%<br />

(b) Let the market price = x<br />

x(1.15) 12 = 1000 x = 186.91<br />

(c) PV of rupee one to be received on maturity ( at 10%) = 0.218<br />

Consulting the PVF table, we find that this holds when the maturity is 16 years.<br />

Q. No. 64: The following is the list of prices of zero coupon bonds of various<br />

maturities.<br />

Maturity (years).<br />

Market price of Rs.1000 face value bond<br />

1 Rs.952.38<br />

2 Rs.890.00<br />

3 Rs.816.30<br />

What are the forward rates for year 2, and 3<br />

Answer<br />

Calculation of forward rates using the basic concept of valuation<br />

Year 1 : 952.38(1+r) = 1000<br />

r = 5%<br />

Year 2 : 890(1.05)(1+r) = 1,000<br />

r = 7.0095%<br />

Year 3 : 816.30(1.05)(1.070095)(1+r) = 1,000<br />

r = 9.03%<br />

THEORETICAL ASPECTS<br />

Q.65: What is interest rate risk, reinvestment risk and default risk & what are the<br />

types of risk involved in investment in G-sec. ( Nov. 2005)<br />

Answer: The term risk is used to denote the possibility of variability in the<br />

returns expected from the investment i.e. the actual return differs from the<br />

expected one. Investment in bonds is not entirely risk free. Both systematic and<br />

unsystematic risks are associated with the investment in bonds.<br />

Default Risk : The issuer may default in the payment of interest or principal or<br />

both on the stipulated dates. This risk is referred as Unsystematic risk of Bond<br />

Investments.

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