Maston Corporation has forecasted the value of the Russian ruble as follows for the next year:
Percentage Change Probability of Occurrence
-5% 20%
-3% 50%
1% 30%
If the Russian interest rate is 30 percent, what is the expected cost of financing a one-year loan in rubles?
a. |
32.86 percent. |
|
b. |
25.32 percent |
|
c. |
27.14 percent. |
|
d. |
26.10 percent. |
Effective Rate of Financing needs to be computed in the following way:
If the Probability remains at 20%, effective Rate of financing would be [{(1 + rate of interest) * (1+/- % change in interest rate)}-1]* Probability rate of 20% = [{(1.30)*(0.95)}-1]*0.2 = 4.7%
If the Probability remains at 50%, effective Rate of financing would be [{(1 + rate of interest) * (1+/- % change in interest rate)}-1]* Probability rate of 50% = [{(1.30)*(0.97)}-1]*0.5 = 13.05%
If the Probability remains at 30%, effective Rate of financing would be [{(1 + rate of interest) * (1+/- % change in interest rate)}-1]* Probability rate of 20% = [{(1.30)*(1.01)}-1]*0.3 = 9.39%
So the expected cost of financing a one-year loan in bubbles would be = 4.7% + 13.05% + 9.39% = 27.14%
So the correct option is 27.14% and hence option (c) is correct.
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