Calculating the loan amount
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Suppose you are a loan officer for a bank. A start-up company has qualified for a loan. You are pondering various proposals for repayment:
1. Lump sum of $500,000 four years hence. How much will you lend if your desired rate of return is:
a. 12%, compounded annually?
b. 16%, compounded annually?
2. Repeat number 1, but assume that the interest rates are compounded semiannually.
3. Suppose the loan is to be paid in full by equal payments of $125,000 at the end of each of the next 4 years. How much will you lend if your desired rate of return is:
a. 12%, compounded annually?
b. 16%, compounded annually?
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Solution Summary
Solution describes the steps to calculate loan amount at two different rate of interest in case a lump sum amount is to be received after loan period. It also calculates loan amount at two different rate of interest in case repayment is done by equal annual payments.
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Suppose you are a loan officer for a bank. A start-up company has qualified for a loan. You are pondering various proposals for repayment:
1. Lump sum of $500,000 four years hence. How much will you lend if your desired rate of return is:
a. 12%, compounded annually?
Amount to be returned after 4 years=FV=$500,000
Number of periods=n=4 (years)
Rate of return=r=12% (annual)
Amount that can be given =Present value of $500,000 to be received after 4 years=PV=?
PV=FV/(1+r)^n=500000/(1+12%)^4=$317,759
b. 16%, compounded annually? ...
Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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