Forecasted Interest Rates with Premiums

Please help with the following problem and show all the work so that I may fully understand the concept of the problem.

You have been asked to forecast interest rates for the next 5 years. You have been given the following estimates:

The risk free rate is expected to have a 30% of being 2%, a 20% chance of being 1.5%, a 20% of being 2.5% a 15% of being 2.75% a 10% chance of being 3% and a 5% chance of being 3.25%.

Inflation is expected to be 2% next year, 2.5% for the following 2 years and 3% for years 4 and 5.

You have been told to use .008% as the liquidity premium, .1(t-1) % as the maturity premium and 1.1% as the default premium.

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...75% 0.15
3% 0.10
3.25% 0.05

Expected risk-free rate = P1rRF1 + P2rRF2 + . . . + PNrRFN
= 0.3(2%) + 0.2(1.5%) + 0.2(2.5%) + ...