Google: Gemini Pro Vision 1.0 Evaluations

Google: Gemini Pro Vision 1.0 evaluations

184 rows / 184 distinct inputs

Input
Output
Evaluation Input Image

Describe this photo in detail.


This is a photo of a dog in a red headband. The dog is looking at the camera with a slight smile on its face. It is sitting in front of a dark background with a river and mountains in the distance. The dog is wearing a white shirt with a black collar. The photo is taken at a close-up angle, and the dog's face is the main focus of the photo.


Evaluation Input Image

You can see a 3x3 grid of 9 boxes, one of which is empty (marked as ?). You have to


choose which of the 8 alternative shapes (A-H) should be placed in the empty box in order


to complete the pattern that connects the shapes. You must first give your explanation and


then output the answer at the end of your response in the format: “The correct answer is: _”.


The empty box is in the third row and third column of the grid. Looking across the row, we can see that the shapes are the same but decrease in size from left to right. Looking down the column, we can see that the shapes are all pentagons but change color from black to light gray. Therefore, the correct answer is either G or H. However, the pentagons in the second row are all triangles, so the correct answer must be H.

The correct answer is: H


Evaluation Input Image

You can see a grid of 9 boxes, one of which is empty (marked as ?). You


have to choose which of the 6 alternative shapes (A-F) to be placed in the


empty box in order to complete the pattern that connects the shapes.


Provide your prediction as a single letter. Your output should be a single letter!


The correct answer is C.


Evaluation Input Image

What is the total count (face cards are 10, ace is 1) for these cards?


83


Evaluation Input Image

describe all the cards and tell the total count


There are 5 cards face up on the table. The cards are the 7 of diamonds, the 7 of spades, the 6 of hearts, the 9 of diamonds, and the jack of spades. There are also 21 cards face down on the table. The total count of the cards is 26.


Evaluation Input Image

Calculate the value of bond D shown in the following table, all of which pay interest semiannually. <image 1>


The correct answer is $1,245.99.

First, calculate the semiannual coupon payment: 1,000x141,000 x 14% / 2 = 70

Next, calculate the number of semiannual periods: 10 years x 2 = 20 periods

Then, calculate the present value of the coupon payments using the formula: PV = C x [1 - (1 + r)^-n] / r where: C = semiannual coupon payment r = semiannual interest rate n = number of semiannual periods

PV = 70x[1(1+0.10/2)20]/0.10/2PV=70 x [1 - (1 + 0.10 / 2)^-20] / 0.10 / 2 PV = 70 x [1 - (1.05)^-20] / 0.05 PV = 70x[10.37689]/0.05PV=70 x [1 - 0.37689] / 0.05 PV = 70 x 0.62311 / 0.05 PV = $872.35

Finally, calculate the present value of the bond: PV of bond = PV of coupon payments + PV of principal PV of bond = 872.35+872.35 + 1,000 PV of bond = $1,872.35

Therefore, the value of bond D is $1,872.35.


Expected Answer: 1249

Difficulty: Medium

Subfield: Managerial Finance

Evaluation Input Image

Payback Consider the following projects: <image 1> Calculate the discounted payback period for each project


Project A: 1 year Project B: 2 years Project C: 3 years


Expected Answer: C

Difficulty: Medium

Subfield: Corporate Finance

Evaluation Input Image

The following table shows interest rates and exchange rates for the U.S. dollar and the Lilliputian nano. The spot exchange rate is 15 nanos = $1. <image 1>. What is Dollar interest rate for 1 year?



(A) 5.58


(B) 2.34


(C) 15.18


(D) 3.85


Answer with the option's letter from the given choices directly. No punctuation.


D


Expected Answer: A

Difficulty: Medium

Subfield: Corporate Finance

Evaluation Input Image

A recent study of inflationary expectations has revealed that the consensus among economic forecasters yields the following average annual rates of inflation expected over the periods noted. (Note: Assume that the risk that future interest rate movements will affect longer maturities more than shorter maturities is zero; that is, assume that there is no maturity risk.) <image 1> If the real rate of interest is currently 2.5%, find the nominal rate of interest on the following U.S. Treasury issues: 5-year bond



(A) 7.5%


(B) 8.5%


(C) 10.5%


(D) 11.5%


Answer with the option's letter from the given choices directly. No punctuation.


B


Expected Answer: C

Difficulty: Easy

Subfield: Managerial Finance

Evaluation Input Image

Consider the data in the following table: <image 1>. Determine the interest rate and present value of perpetuity C



(A) interest rate = 5.0%; present value = $1,200,000


(B) interest rate = 10.0%; present value = $1,000,000


(C) interest rate = 8.0%; present value = $250,000


(D) interest rate = 6.0%; present value = $50,000


Answer with the option's letter from the given choices directly. No punctuation.


D


Expected Answer: D

Difficulty: Easy

Subfield: Managerial Finance

Evaluation Input Image

Abbey Naylor, CFA, has been directed to determine the value of Sundanci's stock using the Free Cash Flow to Equity (FCFE) model. Naylor believes that Sundanci's FCFE will grow at 27% for 2 years and 13% thereafter. Capital expenditures, depreciation, and working capital are all expected to increase proportionately with FCFE. <image 1> Calculate the amount of FCFE per share for the year 2011, using the data from above table.


$2.04


Expected Answer: 0.286

Difficulty: Hard

Subfield: Financial Marketing

Evaluation Input Image

Peninsular Research is initiating coverage of a mature manufacturing industry. John Jones, CFA, head of the research department, gathered the following fundamental industry and market data to help in his analysis: <image 1> Compute the price-to-earnings (P0/E1)(\frac{P_0}/E_{1}) ratio for the industry based on this fundamental data


The price-to-earnings ratio is calculated as follows:

P0E1=1.2(6+5).25(1.2)=33.6\frac{P_0}{E_1} = \frac{1.2(6 + 5)}{.25(1.2)} = 33.6


Expected Answer: 30

Difficulty: Medium

Subfield: Financial Marketing

Evaluation Input Image

Dozier Corporation is a fast-growing supplier of office products. Analysts project the following free cash flows (FCFs) during the next 3 years, after which FCF is expected to grow at a constant 7% rate. Dozier's weighted average cost of capital is WACC = 13%. <image 1> What is the current value of operations for Dozier?


The current value of operations for Dozier is $149.1 million.

To calculate this, we need to discount the projected FCFs back to the present at the WACC of 13%. The formula for the present value of a growing perpetuity is:

PV = FCF / (WACC - g)

Where:

PV is the present value FCF is the free cash flow WACC is the weighted average cost of capital g is the growth rate

In this case, the FCFs are -20million,20 million, 30 million, and $40 million for years 1, 2, and 3, respectively. The WACC is 13%, and the growth rate is 7%.

Plugging these values into the formula, we get:

PV = -20million/(0.130.07)+20 million / (0.13 - 0.07) + 30 million / (1.13)^2 + 40million/(1.13)3PV=40 million / (1.13)^3 PV = -20 million / 0.06 + 30million/1.469+30 million / 1.469 + 40 million / 1.610 PV = -333.3million+333.3 million + 20.4 million + 24.8millionPV=24.8 million PV = -288.1 million

This is the current value of operations for Dozier.


Expected Answer: 527.89

Difficulty: Easy

Subfield: Financial Management

Evaluation Input Image

Adam and Arin Adams have collected their personal asset and liability information and have asked you to put together a balance sheet as of December 31, 2015. The following information is received from the Adams family. <image 1> What was their net working capital (NWC) for the year? (Hint: NWC is the difference between total liquid assets and total current liabilities.)



(A) $2,100


(B) $3,100


(C) $4,100


(D) $5,100


Answer with the option's letter from the given choices directly. No punctuation.


A


Expected Answer: A

Difficulty: Hard

Subfield: Managerial Finance

Evaluation Input Image

Spike Equino is the CEO of a private medical equipment company that is proposing to sell 100,000 shares of its stock in an open auction. Suppose the company receives the bids in the following table. <image 1>. What will be the company's total receipts ($) from the sale if the auction is a discriminatory auction?


$6,590,000


Expected Answer: 7243000

Difficulty: Medium

Subfield: Corporate Finance

Evaluation Input Image

What is the standard deviation of a random variable q with the following probability distribution? <image 1>



(A) 0.9397


(B) 0.9492


(C) 0.8292


(D) 0.8194


Answer with the option's letter from the given choices directly. No punctuation.


A


Expected Answer: C

Difficulty: Medium

Subfield: Financial Marketing

Evaluation Input Image

Consider a three-factor APT model. The factors and associated risk premiums are <image 1>. Calculate expected rates of return on the following stock: A stock with average exposure to each factor (i.e., with b = 1 for each). The risk-free interest rate is 7%.



(A) 5%


(B) 7%


(C) 13%


(D) 15.5%


Answer with the option's letter from the given choices directly. No punctuation.


C


Expected Answer: C

Difficulty: Medium

Subfield: Corporate Finance

Evaluation Input Image

Calculate the value of bond B shown in the following table, all of which pay interest semiannually. <image 1>


The correct answer is $561.25

First, calculate the semiannual coupon payment: 1000121000 * 12% / 2 = 60

Next, calculate the number of semiannual periods until maturity: 20 years * 2 = 40 periods

Then, calculate the present value of the bond's future cash flows using the semiannual yield to maturity of 6%: 60/(1+0.06)1+60 / (1 + 0.06)^1 + 60 / (1 + 0.06)^2 + ... + 60/(1+0.06)40+60 / (1 + 0.06)^40 + 1000 / (1 + 0.06)^40 = $561.25


Expected Answer: 1000

Difficulty: Hard

Subfield: Managerial Finance

Evaluation Input Image

A recent study of inflationary expectations has revealed that the consensus among economic forecasters yields the following average annual rates of inflation expected over the periods noted. (Note: Assume that the risk that future interest rate movements will affect longer maturities more than shorter maturities is zero; that is, assume that there is no maturity risk.) <image 1> If the real rate of interest is currently 2.5%, find the nominal rate of interest on the following U.S. Treasury issues: 3-month bill



(A) 7.5%


(B) 8.5%


(C) 10.5%


(D) 11.5%


Answer with the option's letter from the given choices directly. No punctuation.


A


Expected Answer: A

Difficulty: Easy

Subfield: Managerial Finance

Evaluation Input Image

Consider the following two projects: <image 1>. What are the internal rates of return on the two projects?



(A) Project A: 22%; Project B: 23.37%


(B) Project A: 18%; Project B: 28.69%


(C) Project A: 22%; Project B: 28.69%


(D) Project A: 18%; Project B: 23.37%


Answer with the option's letter from the given choices directly. No punctuation.


C


Expected Answer: A

Difficulty: Hard

Subfield: Corporate Finance

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