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A bank is advertising the following 1-year CDs: ASSUME AN INITIAL INVESTMENT OF $10,000 (c) How much interest will a CD with an APR of 1.94% compounded monthly earn in 1 year? (Round you answer to 2 decimal places)

User Arrowd
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Answer:

The amount of interest earned by the CD at an APR of 1.94% is $195.73

Step-by-step explanation:

The amount of interest earned over a year is the future value of the CD less the amount of initial investment.

FV=PV*(1+r/t)^N*t

FV is the value of the CD in a year' s time

PV is the value of the initial investment

r is the rate of return of 1.94%

t is the number of compounding periods in a year, which is 12

FV=$10000*(1+1.94%/12)^1*12

FV=$10000*(1+0.001616667 )^12

FV=$10000*1.019573435

FV=$10195.73

Interest =FV-PV

interest=$10195.73-$10,0000

interest=$195.73

The interest is divided by 12 since compounding is done monthly, the same reason why N was multiplied by 12

User AlbinoDrought
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