Six-year bond with annual coupons is bought to yield
The amount Sofia earns through this arrangement can be calculated using following formula:
Yield = [(Principal + Interest) + Savings Account Accrual] / Principal
For example, let’s assume that Sofia redeems the bond after three years and has $10,000 worth of principal plus an additional $2,500 in accrued interest. This would mean total redemption value of $12,500 which would then accumulate in her 5.5% savings account for five more years; assuming no withdrawals from this account we can calculate accrual amount as follows:
(1+0.055)^5 = 1.3385
$12,500 * 1.3385 = 16795
Finally, calculating total yield over entire period gives us:
(16795 + 12500) / 12500 = 2.1436 <=> 214% return over 8 year period.<
Overall it’s clear that while this approach could potentially provide larger yields under certain circumstances due compounding effect of interest rates most likely outcome will still remain below original expectations due lower accrual rate associated with savings account when compared against what was offered initially through bond purchase itself