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1) A vacation property valued at ?$42,500 was bought for 50 payments of $1790 due at the end of every 6 months
1) A vacation property valued at ?$42,500 was bought for 50 payments of $1790 due at the end of every 6 months. What nominal annual rate of interest compounded annually was? charged?
2) On March 5, 2013, the Dow Jones Industrial Average set a new high. The index closed at 14,253.77, which was up 125.95 that day. What was the return (in percent) of the stock market that day?
Expert Solution
1)
Computation of Rate using Rate Function in Excel:
=rate(nper,pmt,-pv,fv)*2
Here,
Rate = ?
Nper = 50
PMT = $1790
PV = $42500
FV = Substituting the values in formula:
=rate(50,1790,-42500,0)*2
Rate = 6.87%
So, Nominal annual rate of interest compounded annually was? 6.87% charged.
2)
Computation of Return (in percent) of the stock market that day:
Return = (Current Close - Previous Close)/Previous Close *100
Here,
Current Close = 14,253.77
Previous Close = 14,253.77 - 125.95 = 14,127.82
Return = (14,253.77 - 14,127.82)/14,127.82*100 = 0.89%
So, Return (in percent) of the stock market that day is 0.89
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