Solution:
Given ,
1 Year interest rates in Europe = 4 %
1 Year interest rates in the U.S. = 2 %
You are translating $200,000 and spending $200,000 in French
Current spot rate of the euro = $1.20
a. (2%-4%)/(1+4%)=(S - 1.20) / 1.20
S= $1.1769 one year Euro rate
b. ( $1 / 1.20 )( 1 + 4% )* 1.12 = $.9707 return of -2.93% (loss)
c. ( $1 / 1.20) ( 1 + 4%)* 1.31 = $1.1353 return of 13.53% (gain)
d . ($1 / 1.20) ( 1 + 4%) *S = $1 (1+2%) ;
S=$1.1769
A spot rate of over $1.17697 (this is the same in part A) would be effective.
Answer:
a. 0.75% per month
b. 2.25% per quarter
c. 4.5% semi- annually
d. 9% yearly
Explanation:
a. Computing the effective interest rate per payment period for the payment schedule which is monthly:
Effective rate (monthly) = Nominal rate (r) / Compounded monthly (m)
where
r is 9%
m is 12
Putting the values above:
= 9% / 12
= 0.75% per month
b. Computing the effective interest rate per payment period for the payment schedule which is quarterly:
Effective rate (quarterly) = Nominal rate (r) / Compounded quarterly (m)
where
r is 9%
m is 4
Putting the values above:
= 9% / 4
= 2.25% per quarter
c. Computing the effective interest rate per payment period for the payment schedule which is semi- annually:
Effective rate (semi- annually) = Nominal rate (r) / Compounded quarterly (m)
where
r is 9%
m is 2 (every 6 months)
Putting the values above:
= 9% / 2
= 4.5% semi- annually
d. Computing the effective interest rate per payment period for the payment schedule which is annually:
Effective rate (annually) = Nominal rate (r) / Compounded yearly (m)
where
r is 9%
m is 1 (end of the year)
Putting the values above:
= 9% / 1
= 9% yearly
