Answer:
a) YTM = 9.8%
b) realized compound yield = 9.9%
Explanation:
a) PMT is 80
par value FV = 1000
coupon rate = 8%
current price PV = 953.1
years to maturity n = 3
Yield to maturity (YTM) is calculated as
=
= 9.8%
b) r2 = 10% = 100%+10% = 1.1
r3 = 12% = 100%+12% = 1.12
To find the realized compound yield, we first need the future value (FV) of the principal and reinvested coupons.
FV = ($80 * 1.10 * 1.12) + ($80 * 1.12) + $1080 = $1268.16
Let a be the rate at which the future value equals $1268.16.
953.1(1+y)³ = $1268.16
(1+y)³ = 1.33
1+y = 1.099
y = 0.099 = 9.9%
The depreciable life of an asset is crucial for the financial manager. Generally, a shorter depreciable life is advantageous, as it leads to quicker cash flow circulation. This concept of depreciation allows for the expense of financial or intangible resources to be allocated over their useful lives. It indicates the extent to which an asset's value diminishes over time. For both taxation and accounting, long-term assets can be depreciated, and the duration allocated to these assets significantly influences the cash flow. Hence, shorter depreciable lives are more favorable compared to longer ones due to the expedited influx of cash for finance managers.