Question

In: Finance

You are offered an investment with a quoted annual interest rate of 11% with weekly compounding...

You are offered an investment with a quoted annual interest rate of 11% with weekly compounding of interest. What is your effective annual interest rate?

10.71%

11.36%

11.61%

12.00%

11.00%

You are valuing an investment that will pay you nothing the first two years, $21,000 the third year, $23,000 the fourth year, $27,000 the fifth year, and $33,000 the sixth year (all payments are at the end of each year). What is the value of the investment to you now if the appropriate annual discount rate is 15.00%?

$42,511.26

$54,648.75

$104,000.15

$82,630.99

$115,772.97

Solutions

Expert Solution

Ans 1) 11.61%

EAR = ( 1 + r )^n - 1
Compounded Weekly
EAR= ( 1 + 11%/52)^52 - 1
EAR= 11.61%

Ans 2) $54,648.75

Year Project Cash Flows (i) DF@ 15% DF@ 15% (ii) PV of Project ( (i) * (ii) )
1 0 1/((1+15%)^1) 0.870                                    -  
2 0 1/((1+15%)^2) 0.756                                    -  
3 21000 1/((1+15%)^3) 0.658                     13,807.84
4 23000 1/((1+15%)^4) 0.572                     13,150.32
5 27000 1/((1+15%)^5) 0.497                     13,423.77
6 33000 1/((1+15%)^5) 0.432                     14,266.81
PV                     54,648.75

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