A corporation is considering the following opportunities to purchase an investment at the following amounts and discounts:
Term |
Amount |
Discount |
90 days |
80,000 |
5% |
180 days |
75,000 |
6% |
270 days |
100,000 |
5% |
360 days |
60,000 |
10% |
Which opportunity offers the corporation the highest annual yield?
The first step is to calculate the nominal return that each investment will provide:
Term |
Amount Invested |
Discount |
Nominal Return (Amount Invested × Discount ) |
90 days |
80,000 |
5% |
4000 |
180 days |
75,000 |
6% |
4500 |
270 days |
100,000 |
5% |
5000 |
360 days |
60,000 |
10% |
6000 |
The next step is to restate the nominal returns on an annualized basis:
Term Nominal Return Fraction of Year Annualized Return
90 days 4,000 ÷ (90 ÷ 360) = $16,000
180 days 4,500 ÷ (180 ÷ 360) = 9,000
270 days 5,000 ÷ (270 ÷ 360) = 6,667
360 days 6,000 ÷ (360 ÷ 360) = 6,000
The final step is to calculate the annual yield of each investment.
Term Annualized Return Amount Invested Annual Yield
90 days 16,000 ÷ 80,000 = 20.0%
180 days 9,000 ÷ 75,000 = 12.0%
270 days 6,667 ÷ 100,000 = 6.7%
360 days 6,000 ÷ 60,000 = 10.0%