每期係每個月?
如果係3.5年
全做定期或買哂綠債都有so
前提係你有返工,用出糧錢還
同埋唔用呢舊97.7萬
To calculate the total return considering the varying maturity durations and the exchange rate, we need to convert the initial investment from HKD to USD, calculate the total return in USD, and then convert it back to HKD.
Given:
Initial investment: 970,000 HKD
Exchange rate: 7.82 HKD/USD
Number of lots: 42
Units per lot: 30
Value per unit: $100 USD
Yield: 5% APY (Annual Percentage Yield)
Maturity duration: 1 to 46 months
First, let's convert the initial investment from HKD to USD:
investment_in_usd = initial_investment / exchange_rate
= 970,000 HKD / 7.82 HKD/USD
≈ 124,045.80 USD (approximately)
Now, let's calculate the total return in USD considering the varying maturity durations.
We'll follow the same approach as before, calculating the interest earned on each lot of bonds based on their respective maturity duration, using the monthly interest rate.
monthly_interest_rate = (1 + 0.05)^(1/12) - 1
≈ 0.004074 (approximately)
total_return_in_usd = (units_per_lot * value_per_unit * interest_rate * months_in_maturity) + (units_per_lot * value_per_unit * interest_rate * (months_in_maturity - 1)) + ... + (units_per_lot * value_per_unit * interest_rate * 1)
= (30 * 100 * 0.004074 * 46) + (30 * 100 * 0.004074 * 45) + ... + (30 * 100 * 0.004074 * 1)
To simplify the calculation, we can factor out the common terms:
total_return_in_usd = 30 * 100 * 0.004074 * (46 + 45 + ... + 1)
To calculate the sum of the integers from 1 to 46, we can use the formula:
sum = (n * (n + 1)) / 2
= (46 * (46 + 1)) / 2
= 46 * 47 / 2
= 1081
Now we can calculate the total return in USD:
total_return_in_usd = 30 * 100 * 0.004074 * 1081
≈ 1,314.23 USD (approximately)
Finally, let's convert the total return back to HKD:
total_return_in_hkd = total_return_in_usd * exchange_rate
≈ 1,314.23 USD * 7.82 HKD/USD
≈ 10,263.45 HKD (approximately)
Therefore, the total return from the 42 lots of bonds, considering the varying maturity durations and the exchange rate, would be approximately 10,263.45 HKD.