Question

In: Finance

Namibia’s Treasury Bills represent a significant proportion of most portfolios of financial institutions. On realizing this...

  1. Namibia’s Treasury Bills represent a significant proportion of most portfolios of financial institutions. On realizing this fact, you have decided to analyse the yield curve for treasury bonds. The following table provides the necessary data:

Year to maturity

Par coupon yield to

maturity (%)

Calculated spot rates

(%)

Calculated   forward

rates (%)

1

6.00

6.00

6.00

2

7.2

7.21

7.42

3

8.00

?

?

a) Using the data in the table above, calculate the three-year spot rate and the three years forward rate, assuming annual compounding. [4]

Solutions

Expert Solution

Assume, 1000 is the present value of future cash flows and annual cash flows are 70 each year.

Calculation of 3 years spot rate as follows,

1000 = 70/(1.06) + 70/(1.0721)^2 + 1070/(1+r)^3

1000 = 66.03773585 + 60.90142408 + 1070/(1+r)^3

873.06084007*(1+r)^3 = 1070

(1+r)^3 = 1.225573238

1+r = 1.0701

r = 7.01%------------spot rate

Calculation of 3 year forward rate as follows,

[(1+r)^3/(1.0721)^2] - 1 = [(1.0701)^3/(1.0721)^2] -1

= 1.0661 -1

= 6.61%-----------------forward rate


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